From 820e06561001a975791dc6f1b024292d849e0acb Mon Sep 17 00:00:00 2001 From: octeep Date: Sat, 24 Sep 2022 04:49:10 +0100 Subject: [PATCH 01/14] implement Classical McEliece --- kem/mceliece/gen.go | 159 ++++ kem/mceliece/internal/controlbits.go | 248 ++++++ kem/mceliece/internal/controlbits_test.go | 125 +++ kem/mceliece/internal/djbsort.go | 92 ++ kem/mceliece/internal/djbsort_test.go | 70 ++ kem/mceliece/kat_test.go | 91 ++ kem/mceliece/mceliece348864/benes.go | 65 ++ kem/mceliece/mceliece348864/benes_test.go | 76 ++ kem/mceliece/mceliece348864/mceliece.go | 755 ++++++++++++++++ kem/mceliece/mceliece348864/mceliece_test.go | 291 +++++++ kem/mceliece/mceliece348864/pk_gen.go | 125 +++ kem/mceliece/mceliece348864f/benes.go | 65 ++ kem/mceliece/mceliece348864f/mceliece.go | 755 ++++++++++++++++ kem/mceliece/mceliece348864f/pk_gen.go | 222 +++++ kem/mceliece/mceliece348864f/pk_gen_test.go | 44 + kem/mceliece/mceliece460896/benes.go | 121 +++ kem/mceliece/mceliece460896/benes_test.go | 99 +++ kem/mceliece/mceliece460896/mceliece.go | 756 ++++++++++++++++ kem/mceliece/mceliece460896/pk_gen.go | 125 +++ kem/mceliece/mceliece460896f/benes.go | 121 +++ kem/mceliece/mceliece460896f/mceliece.go | 756 ++++++++++++++++ kem/mceliece/mceliece460896f/pk_gen.go | 222 +++++ kem/mceliece/mceliece6688128/benes.go | 121 +++ kem/mceliece/mceliece6688128/mceliece.go | 756 ++++++++++++++++ kem/mceliece/mceliece6688128/pk_gen.go | 125 +++ kem/mceliece/mceliece6688128f/benes.go | 121 +++ kem/mceliece/mceliece6688128f/mceliece.go | 756 ++++++++++++++++ kem/mceliece/mceliece6688128f/pk_gen.go | 222 +++++ kem/mceliece/mceliece6960119/benes.go | 121 +++ kem/mceliece/mceliece6960119/mceliece.go | 665 ++++++++++++++ kem/mceliece/mceliece6960119/operations.go | 137 +++ kem/mceliece/mceliece6960119/pk_gen.go | 132 +++ kem/mceliece/mceliece6960119f/benes.go | 121 +++ kem/mceliece/mceliece6960119f/mceliece.go | 665 ++++++++++++++ kem/mceliece/mceliece6960119f/operations.go | 137 +++ kem/mceliece/mceliece6960119f/pk_gen.go | 247 ++++++ kem/mceliece/mceliece8192128/benes.go | 121 +++ kem/mceliece/mceliece8192128/mceliece.go | 737 ++++++++++++++++ kem/mceliece/mceliece8192128/pk_gen.go | 125 +++ kem/mceliece/mceliece8192128f/benes.go | 121 +++ kem/mceliece/mceliece8192128f/mceliece.go | 737 ++++++++++++++++ kem/mceliece/mceliece8192128f/pk_gen.go | 222 +++++ kem/mceliece/templates/benes_348864.templ.go | 69 ++ kem/mceliece/templates/benes_other.templ.go | 125 +++ kem/mceliece/templates/mceliece.templ.go | 813 ++++++++++++++++++ .../templates/operations_6960119.templ.go | 141 +++ kem/mceliece/templates/pk_gen.templ.go | 279 ++++++ kem/mceliece/testdata/testdata.go | 129 +++ kem/mceliece/testdata/testdata.txt | 163 ++++ kem/schemes/schemes.go | 20 + kem/schemes/schemes_test.go | 10 + math/gf4096/gf4096.go | 83 ++ math/gf4096/gf_test.go | 101 +++ math/gf8192/gf8192.go | 130 +++ math/gf8192/gf_test.go | 147 ++++ 55 files changed, 13982 insertions(+) create mode 100644 kem/mceliece/gen.go create mode 100644 kem/mceliece/internal/controlbits.go create mode 100644 kem/mceliece/internal/controlbits_test.go create mode 100644 kem/mceliece/internal/djbsort.go create mode 100644 kem/mceliece/internal/djbsort_test.go create mode 100644 kem/mceliece/kat_test.go create mode 100644 kem/mceliece/mceliece348864/benes.go create mode 100644 kem/mceliece/mceliece348864/benes_test.go create mode 100644 kem/mceliece/mceliece348864/mceliece.go create mode 100644 kem/mceliece/mceliece348864/mceliece_test.go create mode 100644 kem/mceliece/mceliece348864/pk_gen.go create mode 100644 kem/mceliece/mceliece348864f/benes.go create mode 100644 kem/mceliece/mceliece348864f/mceliece.go create mode 100644 kem/mceliece/mceliece348864f/pk_gen.go create mode 100644 kem/mceliece/mceliece348864f/pk_gen_test.go create mode 100644 kem/mceliece/mceliece460896/benes.go create mode 100644 kem/mceliece/mceliece460896/benes_test.go create mode 100644 kem/mceliece/mceliece460896/mceliece.go create mode 100644 kem/mceliece/mceliece460896/pk_gen.go create mode 100644 kem/mceliece/mceliece460896f/benes.go create mode 100644 kem/mceliece/mceliece460896f/mceliece.go create mode 100644 kem/mceliece/mceliece460896f/pk_gen.go create mode 100644 kem/mceliece/mceliece6688128/benes.go create mode 100644 kem/mceliece/mceliece6688128/mceliece.go create mode 100644 kem/mceliece/mceliece6688128/pk_gen.go create mode 100644 kem/mceliece/mceliece6688128f/benes.go create mode 100644 kem/mceliece/mceliece6688128f/mceliece.go create mode 100644 kem/mceliece/mceliece6688128f/pk_gen.go create mode 100644 kem/mceliece/mceliece6960119/benes.go create mode 100644 kem/mceliece/mceliece6960119/mceliece.go create mode 100644 kem/mceliece/mceliece6960119/operations.go create mode 100644 kem/mceliece/mceliece6960119/pk_gen.go create mode 100644 kem/mceliece/mceliece6960119f/benes.go create mode 100644 kem/mceliece/mceliece6960119f/mceliece.go create mode 100644 kem/mceliece/mceliece6960119f/operations.go create mode 100644 kem/mceliece/mceliece6960119f/pk_gen.go create mode 100644 kem/mceliece/mceliece8192128/benes.go create mode 100644 kem/mceliece/mceliece8192128/mceliece.go create mode 100644 kem/mceliece/mceliece8192128/pk_gen.go create mode 100644 kem/mceliece/mceliece8192128f/benes.go create mode 100644 kem/mceliece/mceliece8192128f/mceliece.go create mode 100644 kem/mceliece/mceliece8192128f/pk_gen.go create mode 100644 kem/mceliece/templates/benes_348864.templ.go create mode 100644 kem/mceliece/templates/benes_other.templ.go create mode 100644 kem/mceliece/templates/mceliece.templ.go create mode 100644 kem/mceliece/templates/operations_6960119.templ.go create mode 100644 kem/mceliece/templates/pk_gen.templ.go create mode 100644 kem/mceliece/testdata/testdata.go create mode 100644 kem/mceliece/testdata/testdata.txt create mode 100644 math/gf4096/gf4096.go create mode 100644 math/gf4096/gf_test.go create mode 100644 math/gf8192/gf8192.go create mode 100644 math/gf8192/gf_test.go diff --git a/kem/mceliece/gen.go b/kem/mceliece/gen.go new file mode 100644 index 000000000..2f7282bdc --- /dev/null +++ b/kem/mceliece/gen.go @@ -0,0 +1,159 @@ +//go:build ignore +// +build ignore + +// Autogenerates wrappers from templates to prevent too much duplicated code +// between the code for different modes. +package main + +import ( + "bytes" + "go/format" + "io/ioutil" + "strings" + "text/template" +) + +type Param struct { + Gf string + PublicKeySize uint + PrivateKeySize uint + CiphertextSize uint + SysN uint + SysT uint +} + +type Instance struct { + Name string + Param Param +} + +func (m Instance) Pkg() string { + return strings.ToLower(m.Name) +} + +func (m Instance) IsSemiSystematic() bool { + return strings.HasSuffix(m.Name, "f") +} + +func (m Instance) Is348864() bool { + return strings.Contains(m.Name, "348864") +} + +func (m Instance) Is460896() bool { + return strings.Contains(m.Name, "460896") +} + +func (m Instance) Is6688128() bool { + return strings.Contains(m.Name, "6688128") +} + +func (m Instance) Is6960119() bool { + return strings.Contains(m.Name, "6960119") +} + +func (m Instance) Is8192128() bool { + return strings.Contains(m.Name, "8192128") +} + +var ( + McElieceParam348864 = Param{ + Gf: "gf4096", + PublicKeySize: 261120, + PrivateKeySize: 6492, + CiphertextSize: 128, + SysN: 3488, + SysT: 64, + } + McElieceParam460896 = Param{ + Gf: "gf8192", + PublicKeySize: 524160, + PrivateKeySize: 13608, + CiphertextSize: 188, + SysN: 4608, + SysT: 96, + } + McElieceParam6688128 = Param{ + Gf: "gf8192", + PublicKeySize: 1044992, + PrivateKeySize: 13932, + CiphertextSize: 240, + SysN: 6688, + SysT: 128, + } + McElieceParam6960119 = Param{ + Gf: "gf8192", + PublicKeySize: 1047319, + PrivateKeySize: 13948, + CiphertextSize: 226, + SysN: 6960, + SysT: 119, + } + McElieceParam8192128 = Param{ + Gf: "gf8192", + PublicKeySize: 1357824, + PrivateKeySize: 14120, + CiphertextSize: 240, + SysN: 8192, + SysT: 128, + } + Instances = []Instance{ + {Name: "mceliece348864", Param: McElieceParam348864}, + {Name: "mceliece348864f", Param: McElieceParam348864}, + {Name: "mceliece460896", Param: McElieceParam460896}, + {Name: "mceliece460896f", Param: McElieceParam460896}, + {Name: "mceliece6688128", Param: McElieceParam6688128}, + {Name: "mceliece6688128f", Param: McElieceParam6688128}, + {Name: "mceliece6960119", Param: McElieceParam6960119}, + {Name: "mceliece6960119f", Param: McElieceParam6960119}, + {Name: "mceliece8192128", Param: McElieceParam8192128}, + {Name: "mceliece8192128f", Param: McElieceParam8192128}, + } + + TemplateWarning = "// Code generated from" +) + +func main() { + generateTemplateFilesIf("templates/benes_348864.templ.go", "benes", func(m Instance) bool { return m.Is348864() }) + generateTemplateFilesIf("templates/benes_other.templ.go", "benes", func(m Instance) bool { return !m.Is348864() }) + generateTemplateFilesIf("templates/operations_6960119.templ.go", "operations", func(m Instance) bool { return m.Is6960119() }) + generateTemplateFiles("templates/mceliece.templ.go", "mceliece") + generateTemplateFiles("templates/pk_gen.templ.go", "pk_gen") +} + +func generateTemplateFiles(templatePath, outputName string) { + generateTemplateFilesIf(templatePath, outputName, func(instance Instance) bool { return true }) +} + +func generateTemplateFilesIf(templatePath, outputName string, predicate func(Instance) bool) { + tl, err := template.ParseFiles(templatePath) + if err != nil { + panic(err) + } + + for _, mode := range Instances { + if !predicate(mode) { + continue + } + buf := new(bytes.Buffer) + err := tl.Execute(buf, mode) + if err != nil { + panic(err) + } + + // Formating output code + code, err := format.Source(buf.Bytes()) + if err != nil { + panic("error formating code") + } + + res := string(code) + offset := strings.Index(res, TemplateWarning) + if offset == -1 { + panic("Missing template warning in pkg.templ.go") + } + err = ioutil.WriteFile(mode.Pkg()+"/"+outputName+".go", []byte(res[offset:]), 0o644) + if err != nil { + panic(err) + } + } +} diff --git a/kem/mceliece/internal/controlbits.go b/kem/mceliece/internal/controlbits.go new file mode 100644 index 000000000..45773e48f --- /dev/null +++ b/kem/mceliece/internal/controlbits.go @@ -0,0 +1,248 @@ +// This file is for implementing the Nassimi-Sahni algorithm +// See David Nassimi, Sartaj Sahni "Parallel algorithms to set up the Benes permutationnetwork" +// See also https://cr.yp.to/papers/controlbits-20200923.pdf + +package internal + +import ( + "unsafe" +) + +// layer implements one layer of the Beneš network. +// It permutes elements `p` according to control bits `cb` in-place. +// Thus, one layer of the Beneš network is created and if some control bits are set +// the corresponding transposition is applied. Parameter `s` equals `n.len()` and +// `s` configures `stride-2^s` conditional swaps. +func layer(p []int16, cb []byte, s, n int) { + stride := 1 << s + index := 0 + for i := int(0); i < n; i += stride * 2 { + for j := int(0); j < stride; j++ { + d := p[i+j] ^ p[i+j+stride] + m := int16(cb[index>>3]>>(index&7)) & 1 + m = -m + d &= m + p[i+j] ^= d + p[i+j+stride] ^= d + index++ + } + } +} + +// cbRecursion implements a recursion step of controlbitsfrompermutation. +// Pick `w ∈ {1, 2, …, 14}. Let `n = 2^w`. +// `out` must be a reference to a slice with `((2*w-1)*(1<<(w-1))+7)/8` or more bytes. +// It must zero-initialized before the first recursive call. +// `step` is initialized with 0 and doubles in each recursion step. +// `pi_offset` is an offset within temp slice ref (or aux in the first recursive call). +// `temp` is an intermediate reference to a slice used for recursive computation and +// temporarily stores values. It must be able to carry at least 2・n elements. +// `aux` is an auxiliary reference to a slice. It points to the elements to be permuted. +// After the first recursive iterations, the elements are stored in `temp` and thus `aux` +// won't be read anymore. The first `n/2` elements are read. +// nolint:funlen +func cbRecursion(out []byte, pos, step int, pi []int16, w, n int32, temp []int32) { + A := temp + B := temp[n:] + if w == 1 { + out[pos>>3] ^= byte(pi[0] << (pos & 7)) + return + } + + for x := int32(0); x < n; x++ { + A[x] = (int32(pi[x]^1) << 16) | int32(pi[x^1]) + } + int32Sort(A, n) // A = (id<<16)+pibar + + for x := int32(0); x < n; x++ { + Ax := A[x] + px := Ax & 0xffff + cx := px + if x < cx { + cx = x + } + B[x] = (px << 16) | cx + } + // B = (p<<16)+c + + for x := int32(0); x < n; x++ { + A[x] = (A[x] << 16) | x + } + int32Sort(A, n) // A = (id<<16)+pibar^-1 + + for x := int32(0); x < n; x++ { + // A = (pibar^(-1)<<16)+pibar + A[x] = (A[x] << 16) + (B[x] >> 16) + } + int32Sort(A, n) // A = (id<<16)+pibar^2 + + if w <= 10 { + for x := int32(0); x < n; x++ { + B[x] = ((A[x] & 0xffff) << 10) | (B[x] & 0x3ff) + } + + for i := int32(1); i < w-1; i++ { + /* B = (p<<10)+c */ + + for x := int32(0); x < n; x++ { + A[x] = ((B[x] & ^0x3ff) << 6) | x /* A = (p<<16)+id */ + } + int32Sort(A, n) /* A = (id<<16)+p^{-1} */ + + for x := int32(0); x < n; x++ { + A[x] = (A[x] << 20) | B[x] /* A = (p^{-1}<<20)+(p<<10)+c */ + } + int32Sort(A, n) /* A = (id<<20)+(pp<<10)+cp */ + + for x := int32(0); x < n; x++ { + ppcpx := A[x] & 0xfffff + ppcx := (A[x] & 0xffc00) | (B[x] & 0x3ff) + if ppcpx < ppcx { + ppcx = ppcpx + } + B[x] = ppcx + } + } + + for x := int32(0); x < n; x++ { + B[x] &= 0x3ff + } + } else { + for x := int32(0); x < n; x++ { + B[x] = (A[x] << 16) | (B[x] & 0xffff) + } + + for i := int32(1); i < w-1; i++ { + /* B = (p<<16)+c */ + + for x := int32(0); x < n; x++ { + A[x] = (B[x] &^ 0xffff) | x + } + int32Sort(A, n) /* A = (id<<16)+p^(-1) */ + + for x := int32(0); x < n; x++ { + A[x] = (A[x] << 16) | (B[x] & 0xffff) + } + /* A = p^(-1)<<16+c */ + + if i < w-2 { + for x := int32(0); x < n; x++ { + B[x] = (A[x] & ^0xffff) | (B[x] >> 16) + } + /* B = (p^(-1)<<16)+p */ + int32Sort(B, n) /* B = (id<<16)+p^(-2) */ + for x := int32(0); x < n; x++ { + B[x] = (B[x] << 16) | (A[x] & 0xffff) + } + /* B = (p^(-2)<<16)+c */ + } + + int32Sort(A, n) + /* A = id<<16+cp */ + for x := int32(0); x < n; x++ { + cpx := (B[x] & ^0xffff) | (A[x] & 0xffff) + if cpx < B[x] { + B[x] = cpx + } + } + } + + for x := int32(0); x < n; x++ { + B[x] &= 0xffff + } + } + + for x := int32(0); x < n; x++ { + A[x] = (int32(pi[x]) << 16) + x + } + int32Sort(A, n) /* A = (id<<16)+pi^(-1) */ + + for j := int32(0); j < n/2; j++ { + x := 2 * j + fj := B[x] & 1 /* f[j] */ + Fx := x + fj /* F[x] */ + Fx1 := Fx ^ 1 /* F[x+1] */ + + out[pos>>3] ^= byte(fj << (pos & 7)) + pos += step + + B[x] = (A[x] << 16) | Fx + B[x+1] = (A[x+1] << 16) | Fx1 + } + /* B = (pi^(-1)<<16)+F */ + + int32Sort(B, n) /* B = (id<<16)+F(pi) */ + + pos += int(2*w-3) * step * int(n/2) + + for k := int32(0); k < n/2; k++ { + y := 2 * k + lk := B[y] & 1 /* l[k] */ + Ly := y + lk /* L[y] */ + Ly1 := Ly ^ 1 /* L[y+1] */ + + out[pos>>3] ^= byte(lk << (pos & 7)) + pos += step + + A[y] = (Ly << 16) | (B[y] & 0xffff) + A[y+1] = (Ly1 << 16) | (B[y+1] & 0xffff) + } + /* A = (L<<16)+F(pi) */ + + int32Sort(A, n) /* A = (id<<16)+F(pi(L)) = (id<<16)+M */ + + pos -= int(2*w-2) * step * int(n/2) + + p := (*int16)(unsafe.Pointer(&temp[n+n/4])) + q := unsafe.Slice(p, n) // q can start anywhere between temp+n and temp+n/2 + for j := int32(0); j < n/2; j++ { + q[j] = int16(A[2*j]&0xffff) >> 1 + q[j+n/2] = int16(A[2*j+1]&0xffff) >> 1 + } + + cbRecursion(out, pos, step*2, q, w-1, n/2, temp) + cbRecursion(out, pos+step, step*2, q[n/2:], w-1, n/2, temp) +} + +// ControlBitsFromPermutation computes control bits +// parameters: 1 <= w <= 14; n = 2^w +// input: permutation pi of {0,1,...,n-1} +// output: (2m-1)n/2 control bits at positions 0,1,... +// output position pos is by definition 1&(out[pos/8]>>(pos&7)) +func ControlBitsFromPermutation(out []byte, pi []int16, w, n int32) { + temp := make([]int32, 2*n) + piTest := make([]int16, n) + var ptr []byte + for { + for i := 0; i < int(((2*w-1)*n/2)+7)/8; i++ { + out[i] = 0 + } + + cbRecursion(out, 0, 1, pi[:], w, n, temp) + // check for correctness + + for i := int32(0); i < n; i++ { + piTest[i] = int16(i) + } + + ptr = out + for i := 0; i < int(w); i++ { + layer(piTest, ptr, i, int(n)) + ptr = ptr[n>>4:] + } + + for i := int(w - 2); i >= 0; i-- { + layer(piTest, ptr, i, int(n)) + ptr = ptr[n>>4:] + } + + diff := int16(0) + for i := int32(0); i < n; i++ { + diff |= pi[i] ^ piTest[i] + } + + if diff == 0 { + break + } + } +} diff --git a/kem/mceliece/internal/controlbits_test.go b/kem/mceliece/internal/controlbits_test.go new file mode 100644 index 000000000..775b07c98 --- /dev/null +++ b/kem/mceliece/internal/controlbits_test.go @@ -0,0 +1,125 @@ +package internal + +import ( + "reflect" + "testing" + + "github.com/cloudflare/circl/internal/test" + "github.com/cloudflare/circl/kem/mceliece/testdata" +) + +const testPath = "../testdata/testdata.txt" + +func TestLayer1(t *testing.T) { + N := 4 + S := 1 + p := []int16{0, 3, 7, 11} + cb := []byte{63} + test.CheckOk(len(p) == N, "length does not match", t) + layer(p, cb, S, N) + pRef := []int16{7, 11, 0, 3} + if !reflect.DeepEqual(pRef, p) { + test.ReportError(t, p, pRef) + } +} + +func TestLayer2(t *testing.T) { + N := 8 + S := 2 + p := []int16{0, 3, 7, 11, 13, 17, 23, 0} + cb := []byte{0xAA, 0xFF, 0x02} + test.CheckOk(len(p) == N, "length does not match", t) + layer(p, cb, S, N) + pRef := []int16{0, 17, 7, 0, 13, 3, 23, 11} + if !reflect.DeepEqual(pRef, p) { + test.ReportError(t, p, pRef) + } +} + +func TestRecursion1(t *testing.T) { + const ( + W = 3 + N = 1 << W + STEP = 1 + POS = 0 + ) + pi := []int16{0, 2, 4, 6, 1, 3, 5, 7} + temp := [2 * N]int32{} + out := [3]byte{} + cbRecursion(out[:], POS, STEP, pi, W, N, temp[:]) + outRef := [3]byte{0xCA, 0x66, 0x0C} + if !reflect.DeepEqual(outRef, out) { + test.ReportError(t, out, outRef) + } +} + +func TestRecursion2(t *testing.T) { + const ( + W = 3 + N = 1 << W + STEP = 2 + POS = 0 + ) + pi := []int16{0, 2, 4, 6, 1, 3, 5, 7} + temp := [2 * N]int32{} + out := [5]byte{} + cbRecursion(out[:], POS, STEP, pi, W, N, temp[:]) + outRef := [5]byte{0x44, 0x50, 0x14, 0x14, 0x50} + if !reflect.DeepEqual(outRef, out) { + test.ReportError(t, out, outRef) + } +} + +func TestControlBitsFromPermutationKat3Mceliece348864(t *testing.T) { + pi, err := testdata.FindTestDataI16("controlbits_kat3_mceliece348864_pi", testPath) + if err != nil { + t.Errorf(err.Error()) + return + } + want, err := testdata.FindTestDataByte("controlbits_kat3_mceliece348864_out_ref", testPath) + if err != nil { + t.Errorf(err.Error()) + return + } + out := make([]byte, 5888) + ControlBitsFromPermutation(out, pi, 12, 4096) + if !reflect.DeepEqual(out, want) { + test.ReportError(t, out, want) + } +} + +func TestControlBitsFromPermutationKat8Mceliece348864(t *testing.T) { + pi, err := testdata.FindTestDataI16("controlbits_kat8_mceliece348864_pi", testPath) + if err != nil { + t.Errorf(err.Error()) + return + } + want, err := testdata.FindTestDataByte("controlbits_kat8_mceliece348864_out_ref", testPath) + if err != nil { + t.Errorf(err.Error()) + return + } + out := make([]byte, 5888) + ControlBitsFromPermutation(out, pi, 12, 4096) + if !reflect.DeepEqual(out, want) { + test.ReportError(t, out, want) + } +} + +func TestControlBitsFromPermutationKat9Mceliece348864(t *testing.T) { + pi, err := testdata.FindTestDataI16("controlbits_kat9_mceliece348864_pi", testPath) + if err != nil { + t.Errorf(err.Error()) + return + } + want, err := testdata.FindTestDataByte("controlbits_kat9_mceliece348864_out_ref", testPath) + if err != nil { + t.Errorf(err.Error()) + return + } + out := make([]byte, 5888) + ControlBitsFromPermutation(out, pi, 12, 4096) + if !reflect.DeepEqual(out, want) { + test.ReportError(t, out, want) + } +} diff --git a/kem/mceliece/internal/djbsort.go b/kem/mceliece/internal/djbsort.go new file mode 100644 index 000000000..9f49def14 --- /dev/null +++ b/kem/mceliece/internal/djbsort.go @@ -0,0 +1,92 @@ +package internal + +// Returns (min(a, b), max(a, b)), executes in constant time +func minMaxI32(a, b *int32) { + ab := *b ^ *a + c := *b - *a + c ^= ab & (c ^ *b) + c >>= 31 + c &= ab + *a ^= c + *b ^= c +} + +// Returns (min(a, b), max(a, b)), executes in constant time +// +// This differs from the C implementation, because the C implementation +// only works for 63-bit integers. +// +// Instead this implementation is based on +// “side-channel effective overflow check of variable c” +// from the book “Hacker's Delight” 2–13 Overflow Detection, +// Section Unsigned Add/Subtract p. 40 +func minMaxU64(a, b *uint64) { + c := (^*b & *a) | ((^*b | *a) & (*b - *a)) + c = -(c >> 63) + c &= *a ^ *b + *a ^= c + *b ^= c +} + +// Reference: [djbsort](https://sorting.cr.yp.to/). +func int32Sort(x []int32, n int32) { + if n < 2 { + return + } + top := int32(1) + for top < n-top { + top += top + } + for p := top; p > 0; p >>= 1 { + for i := int32(0); i < n-p; i++ { + if (i & p) == 0 { + minMaxI32(&x[i], &x[i+p]) + } + } + + i := int32(0) + for q := top; q > p; q >>= 1 { + for ; i < n-q; i++ { + if (i & p) == 0 { + a := x[i+p] + for r := q; r > p; r >>= 1 { + minMaxI32(&a, &x[i+r]) + } + x[i+p] = a + } + } + } + } +} + +// UInt64Sort sorts a slice of uint64 +// Reference: [djbsort](https://sorting.cr.yp.to/). +func UInt64Sort(x []uint64, n int) { + if n < 2 { + return + } + top := 1 + for top < n-top { + top += top + } + for p := top; p > 0; p >>= 1 { + for i := 0; i < n-p; i++ { + if (i & p) == 0 { + minMaxU64(&x[i], &x[i+p]) + } + } + + i := 0 + for q := top; q > p; q >>= 1 { + for ; i < n-q; i++ { + if (i & p) == 0 { + a := x[i+p] + for r := q; r > p; r >>= 1 { + minMaxU64(&a, &x[i+r]) + } + x[i+p] = a + } + } + } + } +} diff --git a/kem/mceliece/internal/djbsort_test.go b/kem/mceliece/internal/djbsort_test.go new file mode 100644 index 000000000..5e47f27ff --- /dev/null +++ b/kem/mceliece/internal/djbsort_test.go @@ -0,0 +1,70 @@ +package internal + +import ( + "math/rand" + "sort" + "testing" + + "github.com/cloudflare/circl/internal/test" +) + +type ( + foo []int32 + bar []uint64 +) + +//nolint:gosec +func TestSortInt32(t *testing.T) { + arr := make(foo, 314) + for i := 0; i < len(arr); i++ { + arr[i] = rand.Int31() + } + + int32Sort(arr, int32(len(arr))) + if !sort.IsSorted(arr) { + want := make(foo, len(arr)) + copy(want, arr) + sort.Sort(want) + test.ReportError(t, arr, want) + } +} + +//nolint:gosec +func TestSortUInt64(t *testing.T) { + arr := make(bar, 314) + for i := 0; i < len(arr); i++ { + arr[i] = rand.Uint64() + } + + UInt64Sort(arr, len(arr)) + if !sort.IsSorted(arr) { + want := make(bar, len(arr)) + copy(want, arr) + sort.Sort(want) + test.ReportError(t, arr, want) + } +} + +func (f foo) Len() int { + return len(f) +} + +func (f foo) Less(i, j int) bool { + return f[i] < f[j] +} + +func (f foo) Swap(i, j int) { + f[i], f[j] = f[j], f[i] +} + +func (f bar) Len() int { + return len(f) +} + +func (f bar) Less(i, j int) bool { + return f[i] < f[j] +} + +func (f bar) Swap(i, j int) { + f[i], f[j] = f[j], f[i] +} diff --git a/kem/mceliece/kat_test.go b/kem/mceliece/kat_test.go new file mode 100644 index 000000000..a5b8e2838 --- /dev/null +++ b/kem/mceliece/kat_test.go @@ -0,0 +1,91 @@ +package mceliece + +// Code to generate the NIST "PQCsignKAT" test vectors. +// See PQCsignKAT_sign.c and randombytes.c in the reference implementation. + +import ( + "bytes" + "crypto/sha256" + "fmt" + "testing" + + "github.com/cloudflare/circl/internal/nist" + "github.com/cloudflare/circl/internal/test" + "github.com/cloudflare/circl/kem/schemes" +) + +func TestPQCgenKATKem(t *testing.T) { + kats := []struct { + name string + want string + }{ + // Computed from reference implementation + {"mceliece348864", "083224b827fc165a0f0e395e1905d7056ca309bf88a84c9b21ca658eddcbf140"}, + {"mceliece348864f", "0846f26726d7b3bdf6fa68c886ed2079890714a7ffb4923ba8508aad93505a86"}, + {"mceliece460896", "ef97c4eaf801982a5acd253f012eafc10d92034f5ec92e097a71e1ae860b26ae"}, + {"mceliece460896f", "c7feca45bbeeaa6c3969f1344f8cfff3e6b09b5c7c642ff5d76f51cfbf8ddd90"}, + {"mceliece6688128", "ed7e195667f6d56f0ec33917edf5bdb2902b61f50761ca2ef17be2721365fb9a"}, + {"mceliece6688128f", "fa3e762d466b1f39850c2b543dc3d38714c28ecc096d5ba2fa07a9d8ac6910b1"}, + {"mceliece6960119", "99dbab3fe1bed15c6707888d6cac01f3f7fe35302536e6403975f6044059df29"}, + {"mceliece6960119f", "56a1bccbc9c1197476f3bb55d31b7a41794134ed68977a756dba9e6125c4d104"}, + {"mceliece8192128", "1208af7d036c256eb0d373e237a0b74c2aae22e9724c2d230c6f1072ebab20c0"}, + {"mceliece8192128f", "66566cb42f443adf8c60d2f9ec8551996746819874cd4bb7fd85701bbe8f73b1"}, + } + + for _, kat := range kats { + kat := kat + t.Run(kat.name, func(t *testing.T) { + testPQCgenKATKem(t, kat.name, kat.want) + }) + } +} + +func testPQCgenKATKem(t *testing.T, name, expected string) { + scheme := schemes.ByName(name) + if scheme == nil { + t.Fatal() + } + + var seed [48]byte + kseed := make([]byte, scheme.SeedSize()) + for i := 0; i < 48; i++ { + seed[i] = byte(i) + } + f := sha256.New() + g := nist.NewDRBG(&seed) + fmt.Fprintf(f, "# kem/%s\n\n", name) + for i := 0; i < 10; i++ { + g.Fill(seed[:]) + fmt.Fprintf(f, "count = %d\n", i) + fmt.Fprintf(f, "seed = %X\n", seed) + + g2 := nist.NewDRBG(&seed) + + // This is not equivalent to g2.Fill(kseed[:]). As the reference + // implementation calls randombytes twice generating the keypair, + // we have to do that as well. + g2.Fill(kseed[:32]) + + pk, sk := scheme.DeriveKeyPair(kseed) + ppk, _ := pk.MarshalBinary() + psk, _ := sk.MarshalBinary() + ct, ss, err := scheme.EncapsulateDeterministically(pk, seed[:]) + if err != nil { + t.Fatal(err) + } + ss2, err := scheme.Decapsulate(sk, ct) + if err != nil { + t.Fatal(err) + } + if !bytes.Equal(ss, ss2) { + test.ReportError(t, fmt.Sprintf("%X", ss2), fmt.Sprintf("%X", ss)) + } + fmt.Fprintf(f, "pk = %X\n", ppk) + fmt.Fprintf(f, "sk = %X\n", psk) + fmt.Fprintf(f, "ct = %X\n", ct) + fmt.Fprintf(f, "ss = %X\n\n", ss) + } + if fmt.Sprintf("%x", f.Sum(nil)) != expected { + t.Fatal() + } +} diff --git a/kem/mceliece/mceliece348864/benes.go b/kem/mceliece/mceliece348864/benes.go new file mode 100644 index 000000000..e07e51afe --- /dev/null +++ b/kem/mceliece/mceliece348864/benes.go @@ -0,0 +1,65 @@ +// Code generated from benes_348864.templ.go. DO NOT EDIT. + +package mceliece348864 + +func layer(data, bits []uint64, lgs int) { + index := 0 + s := 1 << lgs + for i := 0; i < 64; i += s * 2 { + for j := i; j < i+s; j++ { + d := data[j] ^ data[j+s] + d &= bits[index] + index++ + data[j] ^= d + data[j+s] ^= d + } + } +} + +func applyBenes(r *[512]byte, bits *[condBytes]byte) { + bs := [64]uint64{} + cond := [64]uint64{} + for i := 0; i < 64; i++ { + bs[i] = load8(r[i*8:]) + } + + transpose64x64(&bs, &bs) + + for low := 0; low <= 5; low++ { + for i := 0; i < 64; i++ { + cond[i] = uint64(load4(bits[low*256+i*4:])) + } + transpose64x64(&cond, &cond) + layer(bs[:], cond[:], low) + } + + transpose64x64(&bs, &bs) + + for low := 0; low <= 5; low++ { + for i := 0; i < 32; i++ { + cond[i] = load8(bits[(low+6)*256+i*8:]) + } + layer(bs[:], cond[:], low) + } + for low := 4; low >= 0; low-- { + for i := 0; i < 32; i++ { + cond[i] = load8(bits[(4-low+6+6)*256+i*8:]) + } + layer(bs[:], cond[:], low) + } + + transpose64x64(&bs, &bs) + + for low := 5; low >= 0; low-- { + for i := 0; i < 64; i++ { + cond[i] = uint64(load4(bits[(5-low+6+6+5)*256+i*4:])) + } + transpose64x64(&cond, &cond) + layer(bs[:], cond[:], low) + } + transpose64x64(&bs, &bs) + + for i := 0; i < 64; i++ { + store8(r[i*8:], bs[i]) + } +} diff --git a/kem/mceliece/mceliece348864/benes_test.go b/kem/mceliece/mceliece348864/benes_test.go new file mode 100644 index 000000000..05c51cd78 --- /dev/null +++ b/kem/mceliece/mceliece348864/benes_test.go @@ -0,0 +1,76 @@ +package mceliece348864 + +import ( + "fmt" + "reflect" + "testing" + + "github.com/cloudflare/circl/internal/test" + "github.com/cloudflare/circl/kem/mceliece/testdata" +) + +const testPath = "../testdata/testdata.txt" + +func TestLayer(t *testing.T) { + data := [64]uint64{} + bits := [32]uint64{} + for i := 0; i < len(data); i++ { + data[i] = 0xAAAA ^ (uint64(i) * 17) + } + for i := 0; i < len(bits); i++ { + bits[i] = uint64(i) << 3 + } + layer(data[:], bits[:], 4) + want := [64]uint64{ + 0xAAAA, 0xAABB, 0xAA98, 0xAA89, 0xAAEE, 0xAADF, 0xAADC, 0xAAED, 0xAA22, 0xAA33, + 0xAA10, 0xAA41, 0xAA66, 0xAA57, 0xAA54, 0xAA25, 0xABBA, 0xAB8B, 0xAB88, 0xABF9, + 0xABFE, 0xABEF, 0xABCC, 0xAB1D, 0xAB32, 0xAB03, 0xAB00, 0xAB31, 0xAB76, 0xAB67, + 0xAB44, 0xA8D5, 0xA88A, 0xA89B, 0xA8F8, 0xA8E9, 0xA8CE, 0xA87F, 0xA83C, 0xA80D, + 0xA802, 0xA853, 0xA870, 0xA861, 0xA846, 0xA8B7, 0xA9B4, 0xA985, 0xA99A, 0xA9EB, + 0xA9E8, 0xA9D9, 0xA9DE, 0xA98F, 0xA92C, 0xA93D, 0xA912, 0xA923, 0xA960, 0xA951, + 0xA956, 0xAE47, 0xAEA4, 0xAEB5, + } + if !reflect.DeepEqual(data, want) { + test.ReportError(t, fmt.Sprintf("%X", data), fmt.Sprintf("%X", want)) + } +} + +func TestLayer2(t *testing.T) { + data, err := testdata.FindTestDataU64("mceliece348864_benes_layer_data_before", testPath) + if err != nil { + t.Fatal(err) + } + bits, err := testdata.FindTestDataU64("mceliece348864_benes_layer_bits", testPath) + if err != nil { + t.Fatal(err) + } + want, err := testdata.FindTestDataU64("mceliece348864_benes_layer_data_after", testPath) + if err != nil { + t.Fatal(err) + } + + layer(data, bits, 0) + if !reflect.DeepEqual(data, want) { + test.ReportError(t, fmt.Sprintf("%X", data), fmt.Sprintf("%X", want)) + } +} + +func TestApplyBenes(t *testing.T) { + r, err := testdata.FindTestDataByte("mceliece348864_benes_apply_benes_r_before", testPath) + if err != nil { + t.Fatal(err) + } + bits, err := testdata.FindTestDataByte("mceliece348864_benes_apply_benes_bits", testPath) + if err != nil { + t.Fatal(err) + } + want, err := testdata.FindTestDataByte("mceliece348864_benes_apply_benes_r_after", testPath) + if err != nil { + t.Fatal(err) + } + + applyBenes((*[512]byte)(r), (*[5888]byte)(bits)) + if !reflect.DeepEqual(r[:], want) { + test.ReportError(t, fmt.Sprintf("%X", r), fmt.Sprintf("%X", want)) + } +} diff --git a/kem/mceliece/mceliece348864/mceliece.go b/kem/mceliece/mceliece348864/mceliece.go new file mode 100644 index 000000000..41640e9c8 --- /dev/null +++ b/kem/mceliece/mceliece348864/mceliece.go @@ -0,0 +1,755 @@ +// Code generated from mceliece.templ.go. DO NOT EDIT. + +package mceliece348864 + +import ( + "bytes" + cryptoRand "crypto/rand" + "io" + + "github.com/cloudflare/circl/internal/nist" + "github.com/cloudflare/circl/internal/sha3" + "github.com/cloudflare/circl/kem" + "github.com/cloudflare/circl/kem/mceliece/internal" + "github.com/cloudflare/circl/math/gf4096" +) + +const ( + sysT = 64 // F(y) is 64 degree + gfBits = gf4096.GfBits + gfMask = gf4096.GfMask + unusedBits = 16 - gfBits + sysN = 3488 + condBytes = (1 << (gfBits - 4)) * (2*gfBits - 1) + irrBytes = sysT * 2 + pkNRows = sysT * gfBits + pkNCols = sysN - pkNRows + pkRowBytes = (pkNCols + 7) / 8 + syndBytes = (pkNRows + 7) / 8 + PublicKeySize = 261120 + PrivateKeySize = 6492 + CiphertextSize = 128 + SharedKeySize = 32 + seedSize = 32 + encapsulationSeedSize = 48 +) + +type PublicKey struct { + pk [PublicKeySize]byte +} + +type PrivateKey struct { + sk [PrivateKeySize]byte +} + +type ( + gf = gf4096.Gf + randFunc = func(pool []byte) error +) + +func deriveKeyPair(entropy []byte) (*PublicKey, *PrivateKey) { + const ( + irrPolys = sysN/8 + (1<>= 8 + + preimage[0] = byte(m & 1) + for i := 0; i < sysN/8; i++ { + preimage[1+i] = (byte(^m) & s[i]) | (byte(m) & e[i]) + } + + copy(preimage[1+sysN/8:][:syndBytes+32], c[0:syndBytes+32]) + return shake256(key[0:32], preimage[:]) +} + +/* input: public key pk, error vector e */ +/* output: syndrome s */ +func syndrome(s []byte, pk []byte, e []byte) { + row := [sysN / 8]byte{} + var b byte + + for i := 0; i < syndBytes; i++ { + s[i] = 0 + } + + for i := 0; i < pkNRows; i++ { + for j := 0; j < sysN/8; j++ { + row[j] = 0 + } + + for j := 0; j < pkRowBytes; j++ { + row[sysN/8-pkRowBytes+j] = pk[j] + } + + row[i/8] |= 1 << (i % 8) + + b = 0 + for j := 0; j < sysN/8; j++ { + b ^= row[j] & e[j] + } + + b ^= b >> 4 + b ^= b >> 2 + b ^= b >> 1 + b &= 1 + + s[i/8] |= b << (i % 8) + + pk = pk[pkRowBytes:] + } +} + +func genE(e []byte, rand randFunc) error { + ind := [sysT]uint16{} + val := [sysT]byte{} + for { + buf := make([]byte, sysT*4) + err := rand(buf) + if err != nil { + return err + } + + nums := [sysT * 2]uint16{} + for i := 0; i < sysT*2; i++ { + nums[i] = loadGf(buf[:]) + buf = buf[2:] + } + + count := 0 + for i := 0; i < sysT*2 && count < sysT; i++ { + if nums[i] < sysN { + ind[count] = nums[i] + count++ + } + } + if count < sysT { + continue + } + + eq := false + for i := 1; i < sysT; i++ { + for j := 0; j < i; j++ { + if ind[i] == ind[j] { + eq = true + } + } + } + + if !eq { + break + } + } + + for j := 0; j < sysT; j++ { + val[j] = 1 << (ind[j] & 7) + } + + for i := uint16(0); i < sysN/8; i++ { + e[i] = 0 + + for j := 0; j < sysT; j++ { + mask := sameMask(i, ind[j]>>3) + e[i] |= val[j] & mask + } + } + return nil +} + +func sameMask(x uint16, y uint16) byte { + mask := uint32(x ^ y) + mask -= 1 + mask >>= 31 + mask = -mask + + return byte(mask & 0xFF) +} + +func supportGen(s *[sysN]gf, c *[condBytes]byte) { + L := [gfBits][(1 << gfBits) / 8]byte{} + for i := 0; i < (1 << gfBits); i++ { + a := bitRev(gf(i)) + for j := 0; j < gfBits; j++ { + L[j][i/8] |= byte(((a >> j) & 1) << (i % 8)) + } + } + for j := 0; j < gfBits; j++ { + applyBenes(&L[j], c) + } + for i := 0; i < sysN; i++ { + s[i] = 0 + for j := gfBits - 1; j >= 0; j-- { + s[i] <<= 1 + s[i] |= uint16(L[j][i/8]>>(i%8)) & 1 + } + } +} + +func synd(out *[sysT * 2]gf, f *[sysT + 1]gf, L *[sysN]gf, r *[sysN / 8]byte) { + for j := 0; j < 2*sysT; j++ { + out[j] = 0 + } + + for i := 0; i < sysN; i++ { + c := uint16(r[i/8]>>(i%8)) & 1 + e := eval(f, L[i]) + eInv := gf4096.Inv(gf4096.Mul(e, e)) + for j := 0; j < 2*sysT; j++ { + out[j] = gf4096.Add(out[j], gf4096.Mul(eInv, c)) + eInv = gf4096.Mul(eInv, L[i]) + } + } +} + +func min(a, b int) int { + if a > b { + return b + } + return a +} + +func bm(out *[sysT + 1]gf, s *[2 * sysT]gf) { + var L, mle, mne uint16 + T := [sysT + 1]gf{} + C := [sysT + 1]gf{} + B := [sysT + 1]gf{} + var b, d, f gf + b = 1 + B[1] = 1 + C[0] = 1 + for N := 0; N < 2*sysT; N++ { + d = 0 + for i := 0; i <= min(N, sysT); i++ { + d ^= gf4096.Mul(C[i], s[N-i]) + } + mne = d + mne -= 1 + mne >>= 15 + mne -= 1 + mle = uint16(N) + mle -= 2 * L + mle >>= 15 + mle -= 1 + mle &= mne + for i := 0; i <= sysT; i++ { + T[i] = C[i] + } + f = gf4096.Div(d, b) + for i := 0; i <= sysT; i++ { + C[i] ^= gf4096.Mul(f, B[i]) & mne + } + L = (L & ^mle) | ((uint16(N) + 1 - L) & mle) + + for i := 0; i <= sysT; i++ { + B[i] = (B[i] & ^mle) | (T[i] & mle) + } + + b = (b & ^mle) | (d & mle) + + for i := sysT; i >= 1; i-- { + B[i] = B[i-1] + } + B[0] = 0 + } + + for i := 0; i <= sysT; i++ { + out[i] = C[sysT-i] + } +} + +func decrypt(e *[sysN / 8]byte, sk []byte, c *[syndBytes]byte) uint16 { + var check uint16 + w := 0 + r := [sysN / 8]byte{} + + g := [sysT + 1]gf{} + L := [sysN]gf{} + + s := [sysT * 2]gf{} + sCmp := [sysT * 2]gf{} + locator := [sysT + 1]gf{} + images := [sysN]gf{} + + copy(r[:syndBytes], c[:syndBytes]) + for i := 0; i < sysT; i++ { + g[i] = loadGf(sk) + sk = sk[2:] + } + g[sysT] = 1 + + supportGen(&L, (*[condBytes]byte)(sk[:condBytes])) + + synd(&s, &g, &L, &r) + bm(&locator, &s) + root(&images, &locator, &L) + + for i := 0; i < sysN/8; i++ { + e[i] = 0 + } + for i := 0; i < sysN; i++ { + t := isZeroMask(images[i]) & 1 + + e[i/8] |= byte(t << (i % 8)) + w += int(t) + } + + synd(&sCmp, &g, &L, e) + check = uint16(w) ^ sysT + for i := 0; i < sysT*2; i++ { + check |= s[i] ^ sCmp[i] + } + + check -= 1 + check >>= 15 + + return check ^ 1 +} + +// check if element is 0, returns a mask with all bits set if so, and 0 otherwise +func isZeroMask(element gf) uint16 { + t := uint32(element) - 1 + t >>= 19 + return uint16(t) +} + +// calculate the minimal polynomial of f and store it in out +func minimalPolynomial(out *[sysT]gf, f *[sysT]gf) bool { + mat := [sysT + 1][sysT]gf{} + mat[0][0] = 1 + for i := 1; i < sysT; i++ { + mat[0][i] = 0 + } + + for i := 0; i < sysT; i++ { + mat[1][i] = f[i] + } + + for i := 2; i <= sysT; i++ { + polyMul(&mat[i], &mat[i-1], f) + } + + for j := 0; j < sysT; j++ { + for k := j + 1; k < sysT; k++ { + mask := isZeroMask(mat[j][j]) + // if mat[j][j] is not zero, add mat[c..sysT+1][k] to mat[c][j] + // do nothing otherwise + for c := j; c <= sysT; c++ { + mat[c][j] ^= mat[c][k] & mask + } + } + + if mat[j][j] == 0 { + return false + } + + inv := gf4096.Inv(mat[j][j]) + for c := 0; c <= sysT; c++ { + mat[c][j] = gf4096.Mul(mat[c][j], inv) + } + + for k := 0; k < sysT; k++ { + if k != j { + t := mat[j][k] + for c := 0; c <= sysT; c++ { + mat[c][k] ^= gf4096.Mul(mat[c][j], t) + } + } + } + } + + for i := 0; i < sysT; i++ { + out[i] = mat[sysT][i] + } + + return true +} + +// calculate the product of a and b in Fq^t +func polyMul(out *[sysT]gf, a *[sysT]gf, b *[sysT]gf) { + product := [sysT*2 - 1]gf{} + for i := 0; i < sysT; i++ { + for j := 0; j < sysT; j++ { + product[i+j] ^= gf4096.Mul(a[i], b[j]) + } + } + + for i := (sysT - 1) * 2; i >= sysT; i-- { + // polynomial reduction + + product[i-sysT+3] ^= product[i] + product[i-sysT+1] ^= product[i] + product[i-sysT] ^= gf4096.Mul(product[i], 2) + + } + + for i := 0; i < sysT; i++ { + out[i] = product[i] + } +} + +func transpose64x64(out, in *[64]uint64) { + masks := [6][2]uint64{ + {0x5555555555555555, 0xAAAAAAAAAAAAAAAA}, + {0x3333333333333333, 0xCCCCCCCCCCCCCCCC}, + {0x0F0F0F0F0F0F0F0F, 0xF0F0F0F0F0F0F0F0}, + {0x00FF00FF00FF00FF, 0xFF00FF00FF00FF00}, + {0x0000FFFF0000FFFF, 0xFFFF0000FFFF0000}, + {0x00000000FFFFFFFF, 0xFFFFFFFF00000000}, + } + copy(out[:], in[:]) + + for d := 5; d >= 0; d-- { + s := 1 << d + for i := 0; i < 64; i += s * 2 { + for j := i; j < i+s; j++ { + x := (out[j] & masks[d][0]) | ((out[j+s] & masks[d][0]) << s) + y := ((out[j] & masks[d][1]) >> s) | (out[j+s] & masks[d][1]) + + out[j+0] = x + out[j+s] = y + } + } + } +} + +func eval(f *[sysT + 1]gf, a gf) gf { + r := f[sysT] + for i := sysT - 1; i >= 0; i-- { + r = gf4096.Mul(r, a) + r = gf4096.Add(r, f[i]) + } + return r +} + +func root(out *[sysN]gf, f *[sysT + 1]gf, l *[sysN]gf) { + for i := 0; i < sysN; i++ { + out[i] = eval(f, l[i]) + } +} + +func shake256(output []byte, input []byte) error { + shake := sha3.NewShake256() + _, err := shake.Write(input) + if err != nil { + return err + } + _, err = shake.Read(output) + if err != nil { + return err + } + return nil +} + +func storeGf(dest []byte, a gf) { + dest[0] = byte(a & 0xFF) + dest[1] = byte(a >> 8) +} + +func loadGf(src []byte) gf { + a := uint16(src[1]) + a <<= 8 + a |= uint16(src[0]) + return a & gfMask +} + +func load4(in []byte) uint32 { + ret := uint32(in[3]) + for i := 2; i >= 0; i-- { + ret <<= 8 + ret |= uint32(in[i]) + } + return ret +} + +func store8(out []byte, in uint64) { + out[0] = byte((in >> 0x00) & 0xFF) + out[1] = byte((in >> 0x08) & 0xFF) + out[2] = byte((in >> 0x10) & 0xFF) + out[3] = byte((in >> 0x18) & 0xFF) + out[4] = byte((in >> 0x20) & 0xFF) + out[5] = byte((in >> 0x28) & 0xFF) + out[6] = byte((in >> 0x30) & 0xFF) + out[7] = byte((in >> 0x38) & 0xFF) +} + +func load8(in []byte) uint64 { + ret := uint64(in[7]) + for i := 6; i >= 0; i-- { + ret <<= 8 + ret |= uint64(in[i]) + } + return ret +} + +func bitRev(a gf) gf { + a = ((a & 0x00FF) << 8) | ((a & 0xFF00) >> 8) + a = ((a & 0x0F0F) << 4) | ((a & 0xF0F0) >> 4) + a = ((a & 0x3333) << 2) | ((a & 0xCCCC) >> 2) + a = ((a & 0x5555) << 1) | ((a & 0xAAAA) >> 1) + + return a >> unusedBits +} + +type scheme struct{} + +var sch kem.Scheme = &scheme{} + +// Scheme returns a KEM interface. +func Scheme() kem.Scheme { return sch } + +func (*scheme) Name() string { return "mceliece348864" } +func (*scheme) PublicKeySize() int { return PublicKeySize } +func (*scheme) PrivateKeySize() int { return PrivateKeySize } +func (*scheme) SeedSize() int { return seedSize } +func (*scheme) SharedKeySize() int { return SharedKeySize } +func (*scheme) CiphertextSize() int { return CiphertextSize } +func (*scheme) EncapsulationSeedSize() int { return encapsulationSeedSize } + +func (sk *PrivateKey) Scheme() kem.Scheme { return sch } +func (pk *PublicKey) Scheme() kem.Scheme { return sch } + +func (sk *PrivateKey) MarshalBinary() ([]byte, error) { + var ret [PrivateKeySize]byte + copy(ret[:], sk.sk[:]) + return ret[:], nil +} + +// MarshalCompressedBinary returns a 32-byte seed that can be used to regenerate +// the key pair when passed to DeriveKeyPair +func (sk *PrivateKey) MarshalCompressedBinary() []byte { + seed := [32]byte{} + copy(seed[:], sk.sk[:32]) + return seed[:] +} + +func (sk *PrivateKey) Equal(other kem.PrivateKey) bool { + oth, ok := other.(*PrivateKey) + if !ok { + return false + } + return bytes.Equal(sk.sk[:], oth.sk[:]) +} + +func (pk *PublicKey) Equal(other kem.PublicKey) bool { + oth, ok := other.(*PublicKey) + if !ok { + return false + } + return bytes.Equal(pk.pk[:], oth.pk[:]) +} + +func (sk *PrivateKey) Public() kem.PublicKey { + pk, _ := sch.DeriveKeyPair(sk.MarshalCompressedBinary()) + return pk +} + +func (pk *PublicKey) MarshalBinary() ([]byte, error) { + var ret [PublicKeySize]byte + copy(ret[:], pk.pk[:]) + return ret[:], nil +} + +func (*scheme) GenerateKeyPair() (kem.PublicKey, kem.PrivateKey, error) { + seed := [32]byte{} + _, err := io.ReadFull(cryptoRand.Reader, seed[:]) + if err != nil { + return nil, nil, err + } + pk, sk := deriveKeyPair(seed[:]) + return pk, sk, nil +} + +func (*scheme) DeriveKeyPair(seed []byte) (kem.PublicKey, kem.PrivateKey) { + if len(seed) != seedSize { + panic("seed must be of length EncapsulationSeedSize") + } + return deriveKeyPair(seed) +} + +func encapsulate(pk kem.PublicKey, rand randFunc) (ct, ss []byte, err error) { + ppk, ok := pk.(*PublicKey) + if !ok { + return nil, nil, kem.ErrTypeMismatch + } + + ciphertext := [CiphertextSize]byte{} + sharedSecret := [SharedKeySize]byte{} + err = kemEncapsulate(&ciphertext, &sharedSecret, &ppk.pk, rand) + if err != nil { + return nil, nil, err + } + return ciphertext[:], sharedSecret[:], nil +} + +func (*scheme) Encapsulate(pk kem.PublicKey) (ct, ss []byte, err error) { + return encapsulate(pk, func(pool []byte) error { + _, err2 := io.ReadFull(cryptoRand.Reader, pool) + return err2 + }) +} + +func (*scheme) EncapsulateDeterministically(pk kem.PublicKey, seed []byte) (ct, ss []byte, err error) { + // This follow test standards + if len(seed) != encapsulationSeedSize { + return nil, nil, kem.ErrSeedSize + } + + entropy := [48]byte{} + waste := [32]byte{} + copy(entropy[:], seed) + dRng := nist.NewDRBG(&entropy) + dRng.Fill(waste[:]) + + return encapsulate(pk, func(pool []byte) error { + dRng.Fill(pool) + return nil + }) +} + +func (*scheme) Decapsulate(sk kem.PrivateKey, ct []byte) ([]byte, error) { + ssk, ok := sk.(*PrivateKey) + if !ok { + return nil, kem.ErrTypeMismatch + } + + if len(ct) != CiphertextSize { + return nil, kem.ErrCiphertextSize + } + ss := [SharedKeySize]byte{} + err := kemDecapsulate(&ss, (*[CiphertextSize]byte)(ct), &ssk.sk) + if err != nil { + return nil, err + } + return ss[:], nil +} + +func (*scheme) UnmarshalBinaryPublicKey(buf []byte) (kem.PublicKey, error) { + if len(buf) != PublicKeySize { + return nil, kem.ErrPubKeySize + } + pk := [PublicKeySize]byte{} + copy(pk[:], buf) + return &PublicKey{pk: pk}, nil +} + +func (*scheme) UnmarshalBinaryPrivateKey(buf []byte) (kem.PrivateKey, error) { + if len(buf) != PrivateKeySize { + return nil, kem.ErrPrivKeySize + } + sk := [PrivateKeySize]byte{} + copy(sk[:], buf) + return &PrivateKey{sk: sk}, nil +} diff --git a/kem/mceliece/mceliece348864/mceliece_test.go b/kem/mceliece/mceliece348864/mceliece_test.go new file mode 100644 index 000000000..7318e0647 --- /dev/null +++ b/kem/mceliece/mceliece348864/mceliece_test.go @@ -0,0 +1,291 @@ +package mceliece348864 + +import ( + "reflect" + "testing" + + "github.com/cloudflare/circl/internal/test" +) + +func fill(t *[sysT]gf, v gf) { + for i := 0; i < sysT; i++ { + t[i] = v + } +} + +func assertEq(t *testing.T, a *[sysT]gf, b []gf) { + if !reflect.DeepEqual(a[:], b) { + test.ReportError(t, b, a[:]) + } +} + +func TestMinimalPolynomial(t *testing.T) { + // tests data generated by Sage + out := [sysT]gf{} + + in := [sysT]gf{ + 1214, 685, 3954, 4010, 38, 1628, 1012, 2473, 3205, 2682, 2677, 3425, 3110, 1093, 2185, 3846, 3695, + 767, 1637, 2096, 505, 1631, 2771, 3982, 1826, 3355, 2038, 1636, 1221, 3228, 1473, 3371, 1443, 2985, + 386, 11, 2376, 529, 828, 2615, 1517, 2414, 3324, 3951, 460, 3457, 974, 2316, 2655, 2889, 2150, 1163, + 1612, 974, 758, 517, 1874, 2819, 1257, 2746, 1559, 1596, 1795, 740, + } + want := [sysT]gf{ + 3991, 3480, 592, 686, 1616, 2086, 804, 3006, 1220, 3868, 2339, 1195, 3235, 3101, 1893, 1285, 280, 3093, + 1919, 1048, 458, 704, 954, 2844, 3679, 3228, 2270, 3886, 717, 1133, 1363, 3026, 3005, 241, 829, 316, 3951, + 2312, 2934, 2610, 1465, 2208, 1915, 2534, 1487, 1266, 3039, 1729, 1585, 3671, 1597, 1189, 3907, 956, 3519, + 3007, 3677, 2253, 1595, 1293, 2029, 2971, 1370, 1240, + } + test.CheckOk(minimalPolynomial(&out, &in), "minimalPolynomial failed", t) + assertEq(t, &want, out[:]) + + in = [sysT]gf{ + 2871, 2450, 516, 137, 3881, 2283, 3696, 3941, 921, 2528, 2099, 3, 3880, 333, 3277, 3787, 141, 2552, 3086, + 1178, 612, 3233, 456, 1222, 3546, 1205, 2786, 877, 2183, 1318, 300, 3583, 1996, 3838, 2263, 3690, 1449, + 3487, 1005, 2206, 525, 779, 1220, 3983, 1697, 3521, 3307, 2752, 1003, 2322, 4022, 1426, 2106, 360, 1261, + 3268, 2050, 3243, 189, 2432, 4048, 362, 2431, 2441, + } + want = [sysT]gf{ + 2143, 2914, 2162, 2520, 1157, 4069, 1048, 237, 3123, 2684, 3638, 3812, 3771, 371, 3156, 2345, 562, 3051, + 3702, 3364, 2452, 352, 2525, 2061, 562, 2696, 868, 108, 295, 910, 1263, 1763, 266, 2752, 1784, 550, 2606, + 703, 32, 387, 2213, 4021, 2388, 2996, 325, 2429, 1533, 3940, 1817, 766, 422, 3198, 289, 3519, 3990, 2593, + 165, 3710, 3932, 3734, 3981, 1382, 2358, 2275, + } + test.CheckOk(minimalPolynomial(&out, &in), "minimalPolynomial failed", t) + assertEq(t, &want, out[:]) +} + +//nolint +func TestPolyMul(t *testing.T) { + res := [sysT]gf{} + arg1 := [sysT]gf{} + arg2 := [sysT]gf{} + + fill(&arg1, 0) + fill(&arg2, 0) + arg1[0] = 1 + arg2[0] = 1 + polyMul(&res, &arg1, &arg2) + assertEq(t, &res, []gf{ + 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, + 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, + 0, 0, 0, 0, 0, 0, 0, 0, 0, + }) + + fill(&arg1, 0) + fill(&arg2, 1) + arg1[0] = 1 + arg2[0] = 1 + polyMul(&res, &arg1, &arg2) + assertEq(t, &res, []gf{ + 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, + 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, + 1, 1, 1, 1, 1, 1, 1, 1, 1, + }) + + fill(&arg1, 1) + fill(&arg2, 0) + arg1[0] = 1 + arg2[0] = 1 + polyMul(&res, &arg1, &arg2) + assertEq(t, &res, []gf{ + 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, + 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, + 1, 1, 1, 1, 1, 1, 1, 1, 1, + }) + + fill(&arg1, 0) + fill(&arg2, 5) + arg1[0] = 1 + arg2[0] = 1 + polyMul(&res, &arg1, &arg2) + assertEq(t, &res, []gf{ + 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, + 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, + 5, 5, 5, 5, 5, 5, 5, 5, 5, + }) + + fill(&arg1, 5) + fill(&arg2, 0) + arg1[0] = 1 + arg2[0] = 1 + polyMul(&res, &arg1, &arg2) + assertEq(t, &res, []gf{ + 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, + 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, + 5, 5, 5, 5, 5, 5, 5, 5, 5, + }) + + fill(&arg1, 0) + fill(&arg2, 1024) + arg1[0] = 1 + arg2[0] = 1 + polyMul(&res, &arg1, &arg2) + assertEq(t, &res, []gf{ + 1, 1024, 1024, 1024, 1024, 1024, 1024, 1024, 1024, 1024, 1024, 1024, 1024, 1024, + 1024, 1024, 1024, 1024, 1024, 1024, 1024, 1024, 1024, 1024, 1024, 1024, 1024, 1024, + 1024, 1024, 1024, 1024, 1024, 1024, 1024, 1024, 1024, 1024, 1024, 1024, 1024, 1024, + 1024, 1024, 1024, 1024, 1024, 1024, 1024, 1024, 1024, 1024, 1024, 1024, 1024, 1024, + 1024, 1024, 1024, 1024, 1024, 1024, 1024, 1024, + }) + + fill(&arg1, 1024) + fill(&arg2, 0) + arg1[0] = 1 + arg2[0] = 1 + polyMul(&res, &arg1, &arg2) + assertEq(t, &res, []gf{ + 1, 1024, 1024, 1024, 1024, 1024, 1024, 1024, 1024, 1024, 1024, 1024, 1024, 1024, + 1024, 1024, 1024, 1024, 1024, 1024, 1024, 1024, 1024, 1024, 1024, 1024, 1024, 1024, + 1024, 1024, 1024, 1024, 1024, 1024, 1024, 1024, 1024, 1024, 1024, 1024, 1024, 1024, + 1024, 1024, 1024, 1024, 1024, 1024, 1024, 1024, 1024, 1024, 1024, 1024, 1024, 1024, + 1024, 1024, 1024, 1024, 1024, 1024, 1024, 1024, + }) + + fill(&arg1, 2) + fill(&arg2, 6) + arg1[0] = 1 + arg2[0] = 1 + polyMul(&res, &arg1, &arg2) + assertEq(t, &res, []gf{ + 25, 16, 28, 4, 28, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, + 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, + 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, + }) + + fill(&arg1, 6) + fill(&arg2, 2) + arg1[0] = 1 + arg2[0] = 1 + polyMul(&res, &arg1, &arg2) + assertEq(t, &res, []gf{ + 25, 16, 28, 4, 28, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, + 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, + 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, + }) + + fill(&arg1, 3) + fill(&arg2, 8) + arg1[0] = 1 + arg2[0] = 1 + polyMul(&res, &arg1, &arg2) + assertEq(t, &res, []gf{ + 49, 35, 59, 11, 59, 11, 35, 11, 35, 11, 35, 11, 35, 11, 35, 11, 35, 11, 35, 11, + 35, 11, 35, 11, 35, 11, 35, 11, 35, 11, 35, 11, 35, 11, 35, 11, 35, 11, 35, 11, 35, + 11, 35, 11, 35, 11, 35, 11, 35, 11, 35, 11, 35, 11, 35, 11, 35, 11, 35, 11, 35, 11, + 35, 11, + }) + + fill(&arg1, 8) + fill(&arg2, 3) + arg1[0] = 1 + arg2[0] = 1 + polyMul(&res, &arg1, &arg2) + assertEq(t, &res, []gf{ + 49, 35, 59, 11, 59, 11, 35, 11, 35, 11, 35, 11, 35, 11, 35, 11, 35, 11, 35, 11, + 35, 11, 35, 11, 35, 11, 35, 11, 35, 11, 35, 11, 35, 11, 35, 11, 35, 11, 35, 11, 35, + 11, 35, 11, 35, 11, 35, 11, 35, 11, 35, 11, 35, 11, 35, 11, 35, 11, 35, 11, 35, 11, + 35, 11, + }) + + fill(&arg1, 125) + fill(&arg2, 19) + arg1[0] = 1 + arg2[0] = 1 + polyMul(&res, &arg1, &arg2) + assertEq(t, &res, []gf{ + 3759, 2455, 3776, 110, 3776, 110, 2455, 110, 2455, 110, 2455, 110, 2455, 110, + 2455, 110, 2455, 110, 2455, 110, 2455, 110, 2455, 110, 2455, 110, 2455, 110, 2455, + 110, 2455, 110, 2455, 110, 2455, 110, 2455, 110, 2455, 110, 2455, 110, 2455, 110, + 2455, 110, 2455, 110, 2455, 110, 2455, 110, 2455, 110, 2455, 110, 2455, 110, 2455, + 110, 2455, 110, 2455, 110, + }) + + fill(&arg1, 19) + fill(&arg2, 125) + arg1[0] = 1 + arg2[0] = 1 + polyMul(&res, &arg1, &arg2) + assertEq(t, &res, []gf{ + 3759, 2455, 3776, 110, 3776, 110, 2455, 110, 2455, 110, 2455, 110, 2455, 110, + 2455, 110, 2455, 110, 2455, 110, 2455, 110, 2455, 110, 2455, 110, 2455, 110, 2455, + 110, 2455, 110, 2455, 110, 2455, 110, 2455, 110, 2455, 110, 2455, 110, 2455, 110, + 2455, 110, 2455, 110, 2455, 110, 2455, 110, 2455, 110, 2455, 110, 2455, 110, 2455, + 110, 2455, 110, 2455, 110, + }) + + fill(&arg1, 125) + fill(&arg2, 37) + arg1[0] = 1 + arg2[0] = 1 + polyMul(&res, &arg1, &arg2) + assertEq(t, &res, []gf{ + 3162, 554, 3075, 88, 3075, 88, 554, 88, 554, 88, 554, 88, 554, 88, 554, 88, 554, + 88, 554, 88, 554, 88, 554, 88, 554, 88, 554, 88, 554, 88, 554, 88, 554, 88, 554, + 88, 554, 88, 554, 88, 554, 88, 554, 88, 554, 88, 554, 88, 554, 88, 554, 88, 554, + 88, 554, 88, 554, 88, 554, 88, 554, 88, 554, 88, + }) + + fill(&arg1, 37) + fill(&arg2, 125) + arg1[0] = 1 + arg2[0] = 1 + polyMul(&res, &arg1, &arg2) + assertEq(t, &res, []gf{ + 3162, 554, 3075, 88, 3075, 88, 554, 88, 554, 88, 554, 88, 554, 88, 554, 88, 554, + 88, 554, 88, 554, 88, 554, 88, 554, 88, 554, 88, 554, 88, 554, 88, 554, 88, 554, + 88, 554, 88, 554, 88, 554, 88, 554, 88, 554, 88, 554, 88, 554, 88, 554, 88, 554, + 88, 554, 88, 554, 88, 554, 88, 554, 88, 554, 88, + }) + + fill(&arg1, 4095) + fill(&arg2, 1) + arg1[0] = 1 + arg2[0] = 1 + polyMul(&res, &arg1, &arg2) + assertEq(t, &res, []gf{ + 4086, 4086, 9, 4094, 9, 4094, 4086, 4094, 4086, 4094, 4086, 4094, 4086, 4094, + 4086, 4094, 4086, 4094, 4086, 4094, 4086, 4094, 4086, 4094, 4086, 4094, 4086, 4094, + 4086, 4094, 4086, 4094, 4086, 4094, 4086, 4094, 4086, 4094, 4086, 4094, 4086, 4094, + 4086, 4094, 4086, 4094, 4086, 4094, 4086, 4094, 4086, 4094, 4086, 4094, 4086, 4094, + 4086, 4094, 4086, 4094, 4086, 4094, 4086, 4094, + }) + + fill(&arg1, 1) + fill(&arg2, 4095) + arg1[0] = 1 + arg2[0] = 1 + polyMul(&res, &arg1, &arg2) + assertEq(t, &res, []gf{ + 4086, 4086, 9, 4094, 9, 4094, 4086, 4094, 4086, 4094, 4086, 4094, 4086, 4094, + 4086, 4094, 4086, 4094, 4086, 4094, 4086, 4094, 4086, 4094, 4086, 4094, 4086, 4094, + 4086, 4094, 4086, 4094, 4086, 4094, 4086, 4094, 4086, 4094, 4086, 4094, 4086, 4094, + 4086, 4094, 4086, 4094, 4086, 4094, 4086, 4094, 4086, 4094, 4086, 4094, 4086, 4094, + 4086, 4094, 4086, 4094, 4086, 4094, 4086, 4094, + }) + + fill(&arg1, 8191) + fill(&arg2, 1) + arg1[0] = 1 + arg2[0] = 1 + polyMul(&res, &arg1, &arg2) + assertEq(t, &res, []gf{ + 4068, 4068, 18, 4087, 18, 4087, 4068, 4087, 4068, 4087, 4068, 4087, 4068, 4087, + 4068, 4087, 4068, 4087, 4068, 4087, 4068, 4087, 4068, 4087, 4068, 4087, 4068, 4087, + 4068, 4087, 4068, 4087, 4068, 4087, 4068, 4087, 4068, 4087, 4068, 4087, 4068, 4087, + 4068, 4087, 4068, 4087, 4068, 4087, 4068, 4087, 4068, 4087, 4068, 4087, 4068, 4087, + 4068, 4087, 4068, 4087, 4068, 4087, 4068, 4087, + }) + + fill(&arg1, 1) + fill(&arg2, 8191) + arg1[0] = 1 + arg2[0] = 1 + polyMul(&res, &arg1, &arg2) + assertEq(t, &res, []gf{ + 4086, 4086, 9, 4094, 9, 4094, 4086, 4094, 4086, 4094, 4086, 4094, 4086, 4094, + 4086, 4094, 4086, 4094, 4086, 4094, 4086, 4094, 4086, 4094, 4086, 4094, 4086, 4094, + 4086, 4094, 4086, 4094, 4086, 4094, 4086, 4094, 4086, 4094, 4086, 4094, 4086, 4094, + 4086, 4094, 4086, 4094, 4086, 4094, 4086, 4094, 4086, 4094, 4086, 4094, 4086, 4094, + 4086, 4094, 4086, 4094, 4086, 4094, 4086, 4094, + }) +} diff --git a/kem/mceliece/mceliece348864/pk_gen.go b/kem/mceliece/mceliece348864/pk_gen.go new file mode 100644 index 000000000..56459adf6 --- /dev/null +++ b/kem/mceliece/mceliece348864/pk_gen.go @@ -0,0 +1,125 @@ +// Code generated from pk_gen.templ.go. DO NOT EDIT. + +package mceliece348864 + +import ( + "github.com/cloudflare/circl/kem/mceliece/internal" + "github.com/cloudflare/circl/math/gf4096" +) + +// nolint:unparam +func pkGen(pk *[pkNRows * pkRowBytes]byte, sk []byte, perm *[1 << gfBits]uint32, pi *[1 << gfBits]int16, pivots *uint64) bool { + buf := [1 << gfBits]uint64{} + mat := [pkNRows][sysN / 8]byte{} + g := [sysT + 1]gf{} + L := [sysN]gf{} + inv := [sysN]gf{} + + g[sysT] = 1 + for i := 0; i < sysT; i++ { + g[i] = loadGf(sk) + sk = sk[2:] + } + + for i := 0; i < 1<> 31) == (buf[i] >> 31) { + return false + } + } + + for i := 0; i < (1 << gfBits); i++ { + pi[i] = int16(buf[i] & gfMask) + } + + for i := 0; i < sysN; i++ { + L[i] = bitRev(gf(pi[i])) + } + + // filling the matrix + root(&inv, &g, &L) + + for i := 0; i < sysN; i++ { + inv[i] = gf4096.Inv(inv[i]) + } + + for i := 0; i < sysT; i++ { + for j := 0; j < sysN; j += 8 { + for k := 0; k < gfBits; k++ { + b := byte(inv[j+7]>>k) & 1 + b <<= 1 + b |= byte(inv[j+6]>>k) & 1 + b <<= 1 + b |= byte(inv[j+5]>>k) & 1 + b <<= 1 + b |= byte(inv[j+4]>>k) & 1 + b <<= 1 + b |= byte(inv[j+3]>>k) & 1 + b <<= 1 + b |= byte(inv[j+2]>>k) & 1 + b <<= 1 + b |= byte(inv[j+1]>>k) & 1 + b <<= 1 + b |= byte(inv[j+0]>>k) & 1 + + mat[i*gfBits+k][j/8] = b + } + } + + for j := 0; j < sysN; j++ { + inv[j] = gf4096.Mul(inv[j], L[j]) + } + } + + // gaussian elimination + for i := 0; i < (pkNRows+7)/8; i++ { + for j := 0; j < 8; j++ { + row := i*8 + j + + if row >= pkNRows { + break + } + + for k := row + 1; k < pkNRows; k++ { + mask := mat[row][i] ^ mat[k][i] + mask >>= j + mask &= 1 + mask = -mask + + for c := 0; c < sysN/8; c++ { + mat[row][c] ^= mat[k][c] & mask + } + } + + // return if not systematic + if ((mat[row][i] >> j) & 1) == 0 { + return false + } + + for k := 0; k < pkNRows; k++ { + if k != row { + mask := mat[k][i] >> j + mask &= 1 + mask = -mask + + for c := 0; c < sysN/8; c++ { + mat[k][c] ^= mat[row][c] & mask + } + } + } + } + } + + for i := 0; i < pkNRows; i++ { + copy(pk[i*pkRowBytes:], mat[i][pkNRows/8:pkNRows/8+pkRowBytes]) + } + + return true +} diff --git a/kem/mceliece/mceliece348864f/benes.go b/kem/mceliece/mceliece348864f/benes.go new file mode 100644 index 000000000..5c153a4f5 --- /dev/null +++ b/kem/mceliece/mceliece348864f/benes.go @@ -0,0 +1,65 @@ +// Code generated from benes_348864.templ.go. DO NOT EDIT. + +package mceliece348864f + +func layer(data, bits []uint64, lgs int) { + index := 0 + s := 1 << lgs + for i := 0; i < 64; i += s * 2 { + for j := i; j < i+s; j++ { + d := data[j] ^ data[j+s] + d &= bits[index] + index++ + data[j] ^= d + data[j+s] ^= d + } + } +} + +func applyBenes(r *[512]byte, bits *[condBytes]byte) { + bs := [64]uint64{} + cond := [64]uint64{} + for i := 0; i < 64; i++ { + bs[i] = load8(r[i*8:]) + } + + transpose64x64(&bs, &bs) + + for low := 0; low <= 5; low++ { + for i := 0; i < 64; i++ { + cond[i] = uint64(load4(bits[low*256+i*4:])) + } + transpose64x64(&cond, &cond) + layer(bs[:], cond[:], low) + } + + transpose64x64(&bs, &bs) + + for low := 0; low <= 5; low++ { + for i := 0; i < 32; i++ { + cond[i] = load8(bits[(low+6)*256+i*8:]) + } + layer(bs[:], cond[:], low) + } + for low := 4; low >= 0; low-- { + for i := 0; i < 32; i++ { + cond[i] = load8(bits[(4-low+6+6)*256+i*8:]) + } + layer(bs[:], cond[:], low) + } + + transpose64x64(&bs, &bs) + + for low := 5; low >= 0; low-- { + for i := 0; i < 64; i++ { + cond[i] = uint64(load4(bits[(5-low+6+6+5)*256+i*4:])) + } + transpose64x64(&cond, &cond) + layer(bs[:], cond[:], low) + } + transpose64x64(&bs, &bs) + + for i := 0; i < 64; i++ { + store8(r[i*8:], bs[i]) + } +} diff --git a/kem/mceliece/mceliece348864f/mceliece.go b/kem/mceliece/mceliece348864f/mceliece.go new file mode 100644 index 000000000..6d9386366 --- /dev/null +++ b/kem/mceliece/mceliece348864f/mceliece.go @@ -0,0 +1,755 @@ +// Code generated from mceliece.templ.go. DO NOT EDIT. + +package mceliece348864f + +import ( + "bytes" + cryptoRand "crypto/rand" + "io" + + "github.com/cloudflare/circl/internal/nist" + "github.com/cloudflare/circl/internal/sha3" + "github.com/cloudflare/circl/kem" + "github.com/cloudflare/circl/kem/mceliece/internal" + "github.com/cloudflare/circl/math/gf4096" +) + +const ( + sysT = 64 // F(y) is 64 degree + gfBits = gf4096.GfBits + gfMask = gf4096.GfMask + unusedBits = 16 - gfBits + sysN = 3488 + condBytes = (1 << (gfBits - 4)) * (2*gfBits - 1) + irrBytes = sysT * 2 + pkNRows = sysT * gfBits + pkNCols = sysN - pkNRows + pkRowBytes = (pkNCols + 7) / 8 + syndBytes = (pkNRows + 7) / 8 + PublicKeySize = 261120 + PrivateKeySize = 6492 + CiphertextSize = 128 + SharedKeySize = 32 + seedSize = 32 + encapsulationSeedSize = 48 +) + +type PublicKey struct { + pk [PublicKeySize]byte +} + +type PrivateKey struct { + sk [PrivateKeySize]byte +} + +type ( + gf = gf4096.Gf + randFunc = func(pool []byte) error +) + +func deriveKeyPair(entropy []byte) (*PublicKey, *PrivateKey) { + const ( + irrPolys = sysN/8 + (1<>= 8 + + preimage[0] = byte(m & 1) + for i := 0; i < sysN/8; i++ { + preimage[1+i] = (byte(^m) & s[i]) | (byte(m) & e[i]) + } + + copy(preimage[1+sysN/8:][:syndBytes+32], c[0:syndBytes+32]) + return shake256(key[0:32], preimage[:]) +} + +/* input: public key pk, error vector e */ +/* output: syndrome s */ +func syndrome(s []byte, pk []byte, e []byte) { + row := [sysN / 8]byte{} + var b byte + + for i := 0; i < syndBytes; i++ { + s[i] = 0 + } + + for i := 0; i < pkNRows; i++ { + for j := 0; j < sysN/8; j++ { + row[j] = 0 + } + + for j := 0; j < pkRowBytes; j++ { + row[sysN/8-pkRowBytes+j] = pk[j] + } + + row[i/8] |= 1 << (i % 8) + + b = 0 + for j := 0; j < sysN/8; j++ { + b ^= row[j] & e[j] + } + + b ^= b >> 4 + b ^= b >> 2 + b ^= b >> 1 + b &= 1 + + s[i/8] |= b << (i % 8) + + pk = pk[pkRowBytes:] + } +} + +func genE(e []byte, rand randFunc) error { + ind := [sysT]uint16{} + val := [sysT]byte{} + for { + buf := make([]byte, sysT*4) + err := rand(buf) + if err != nil { + return err + } + + nums := [sysT * 2]uint16{} + for i := 0; i < sysT*2; i++ { + nums[i] = loadGf(buf[:]) + buf = buf[2:] + } + + count := 0 + for i := 0; i < sysT*2 && count < sysT; i++ { + if nums[i] < sysN { + ind[count] = nums[i] + count++ + } + } + if count < sysT { + continue + } + + eq := false + for i := 1; i < sysT; i++ { + for j := 0; j < i; j++ { + if ind[i] == ind[j] { + eq = true + } + } + } + + if !eq { + break + } + } + + for j := 0; j < sysT; j++ { + val[j] = 1 << (ind[j] & 7) + } + + for i := uint16(0); i < sysN/8; i++ { + e[i] = 0 + + for j := 0; j < sysT; j++ { + mask := sameMask(i, ind[j]>>3) + e[i] |= val[j] & mask + } + } + return nil +} + +func sameMask(x uint16, y uint16) byte { + mask := uint32(x ^ y) + mask -= 1 + mask >>= 31 + mask = -mask + + return byte(mask & 0xFF) +} + +func supportGen(s *[sysN]gf, c *[condBytes]byte) { + L := [gfBits][(1 << gfBits) / 8]byte{} + for i := 0; i < (1 << gfBits); i++ { + a := bitRev(gf(i)) + for j := 0; j < gfBits; j++ { + L[j][i/8] |= byte(((a >> j) & 1) << (i % 8)) + } + } + for j := 0; j < gfBits; j++ { + applyBenes(&L[j], c) + } + for i := 0; i < sysN; i++ { + s[i] = 0 + for j := gfBits - 1; j >= 0; j-- { + s[i] <<= 1 + s[i] |= uint16(L[j][i/8]>>(i%8)) & 1 + } + } +} + +func synd(out *[sysT * 2]gf, f *[sysT + 1]gf, L *[sysN]gf, r *[sysN / 8]byte) { + for j := 0; j < 2*sysT; j++ { + out[j] = 0 + } + + for i := 0; i < sysN; i++ { + c := uint16(r[i/8]>>(i%8)) & 1 + e := eval(f, L[i]) + eInv := gf4096.Inv(gf4096.Mul(e, e)) + for j := 0; j < 2*sysT; j++ { + out[j] = gf4096.Add(out[j], gf4096.Mul(eInv, c)) + eInv = gf4096.Mul(eInv, L[i]) + } + } +} + +func min(a, b int) int { + if a > b { + return b + } + return a +} + +func bm(out *[sysT + 1]gf, s *[2 * sysT]gf) { + var L, mle, mne uint16 + T := [sysT + 1]gf{} + C := [sysT + 1]gf{} + B := [sysT + 1]gf{} + var b, d, f gf + b = 1 + B[1] = 1 + C[0] = 1 + for N := 0; N < 2*sysT; N++ { + d = 0 + for i := 0; i <= min(N, sysT); i++ { + d ^= gf4096.Mul(C[i], s[N-i]) + } + mne = d + mne -= 1 + mne >>= 15 + mne -= 1 + mle = uint16(N) + mle -= 2 * L + mle >>= 15 + mle -= 1 + mle &= mne + for i := 0; i <= sysT; i++ { + T[i] = C[i] + } + f = gf4096.Div(d, b) + for i := 0; i <= sysT; i++ { + C[i] ^= gf4096.Mul(f, B[i]) & mne + } + L = (L & ^mle) | ((uint16(N) + 1 - L) & mle) + + for i := 0; i <= sysT; i++ { + B[i] = (B[i] & ^mle) | (T[i] & mle) + } + + b = (b & ^mle) | (d & mle) + + for i := sysT; i >= 1; i-- { + B[i] = B[i-1] + } + B[0] = 0 + } + + for i := 0; i <= sysT; i++ { + out[i] = C[sysT-i] + } +} + +func decrypt(e *[sysN / 8]byte, sk []byte, c *[syndBytes]byte) uint16 { + var check uint16 + w := 0 + r := [sysN / 8]byte{} + + g := [sysT + 1]gf{} + L := [sysN]gf{} + + s := [sysT * 2]gf{} + sCmp := [sysT * 2]gf{} + locator := [sysT + 1]gf{} + images := [sysN]gf{} + + copy(r[:syndBytes], c[:syndBytes]) + for i := 0; i < sysT; i++ { + g[i] = loadGf(sk) + sk = sk[2:] + } + g[sysT] = 1 + + supportGen(&L, (*[condBytes]byte)(sk[:condBytes])) + + synd(&s, &g, &L, &r) + bm(&locator, &s) + root(&images, &locator, &L) + + for i := 0; i < sysN/8; i++ { + e[i] = 0 + } + for i := 0; i < sysN; i++ { + t := isZeroMask(images[i]) & 1 + + e[i/8] |= byte(t << (i % 8)) + w += int(t) + } + + synd(&sCmp, &g, &L, e) + check = uint16(w) ^ sysT + for i := 0; i < sysT*2; i++ { + check |= s[i] ^ sCmp[i] + } + + check -= 1 + check >>= 15 + + return check ^ 1 +} + +// check if element is 0, returns a mask with all bits set if so, and 0 otherwise +func isZeroMask(element gf) uint16 { + t := uint32(element) - 1 + t >>= 19 + return uint16(t) +} + +// calculate the minimal polynomial of f and store it in out +func minimalPolynomial(out *[sysT]gf, f *[sysT]gf) bool { + mat := [sysT + 1][sysT]gf{} + mat[0][0] = 1 + for i := 1; i < sysT; i++ { + mat[0][i] = 0 + } + + for i := 0; i < sysT; i++ { + mat[1][i] = f[i] + } + + for i := 2; i <= sysT; i++ { + polyMul(&mat[i], &mat[i-1], f) + } + + for j := 0; j < sysT; j++ { + for k := j + 1; k < sysT; k++ { + mask := isZeroMask(mat[j][j]) + // if mat[j][j] is not zero, add mat[c..sysT+1][k] to mat[c][j] + // do nothing otherwise + for c := j; c <= sysT; c++ { + mat[c][j] ^= mat[c][k] & mask + } + } + + if mat[j][j] == 0 { + return false + } + + inv := gf4096.Inv(mat[j][j]) + for c := 0; c <= sysT; c++ { + mat[c][j] = gf4096.Mul(mat[c][j], inv) + } + + for k := 0; k < sysT; k++ { + if k != j { + t := mat[j][k] + for c := 0; c <= sysT; c++ { + mat[c][k] ^= gf4096.Mul(mat[c][j], t) + } + } + } + } + + for i := 0; i < sysT; i++ { + out[i] = mat[sysT][i] + } + + return true +} + +// calculate the product of a and b in Fq^t +func polyMul(out *[sysT]gf, a *[sysT]gf, b *[sysT]gf) { + product := [sysT*2 - 1]gf{} + for i := 0; i < sysT; i++ { + for j := 0; j < sysT; j++ { + product[i+j] ^= gf4096.Mul(a[i], b[j]) + } + } + + for i := (sysT - 1) * 2; i >= sysT; i-- { + // polynomial reduction + + product[i-sysT+3] ^= product[i] + product[i-sysT+1] ^= product[i] + product[i-sysT] ^= gf4096.Mul(product[i], 2) + + } + + for i := 0; i < sysT; i++ { + out[i] = product[i] + } +} + +func transpose64x64(out, in *[64]uint64) { + masks := [6][2]uint64{ + {0x5555555555555555, 0xAAAAAAAAAAAAAAAA}, + {0x3333333333333333, 0xCCCCCCCCCCCCCCCC}, + {0x0F0F0F0F0F0F0F0F, 0xF0F0F0F0F0F0F0F0}, + {0x00FF00FF00FF00FF, 0xFF00FF00FF00FF00}, + {0x0000FFFF0000FFFF, 0xFFFF0000FFFF0000}, + {0x00000000FFFFFFFF, 0xFFFFFFFF00000000}, + } + copy(out[:], in[:]) + + for d := 5; d >= 0; d-- { + s := 1 << d + for i := 0; i < 64; i += s * 2 { + for j := i; j < i+s; j++ { + x := (out[j] & masks[d][0]) | ((out[j+s] & masks[d][0]) << s) + y := ((out[j] & masks[d][1]) >> s) | (out[j+s] & masks[d][1]) + + out[j+0] = x + out[j+s] = y + } + } + } +} + +func eval(f *[sysT + 1]gf, a gf) gf { + r := f[sysT] + for i := sysT - 1; i >= 0; i-- { + r = gf4096.Mul(r, a) + r = gf4096.Add(r, f[i]) + } + return r +} + +func root(out *[sysN]gf, f *[sysT + 1]gf, l *[sysN]gf) { + for i := 0; i < sysN; i++ { + out[i] = eval(f, l[i]) + } +} + +func shake256(output []byte, input []byte) error { + shake := sha3.NewShake256() + _, err := shake.Write(input) + if err != nil { + return err + } + _, err = shake.Read(output) + if err != nil { + return err + } + return nil +} + +func storeGf(dest []byte, a gf) { + dest[0] = byte(a & 0xFF) + dest[1] = byte(a >> 8) +} + +func loadGf(src []byte) gf { + a := uint16(src[1]) + a <<= 8 + a |= uint16(src[0]) + return a & gfMask +} + +func load4(in []byte) uint32 { + ret := uint32(in[3]) + for i := 2; i >= 0; i-- { + ret <<= 8 + ret |= uint32(in[i]) + } + return ret +} + +func store8(out []byte, in uint64) { + out[0] = byte((in >> 0x00) & 0xFF) + out[1] = byte((in >> 0x08) & 0xFF) + out[2] = byte((in >> 0x10) & 0xFF) + out[3] = byte((in >> 0x18) & 0xFF) + out[4] = byte((in >> 0x20) & 0xFF) + out[5] = byte((in >> 0x28) & 0xFF) + out[6] = byte((in >> 0x30) & 0xFF) + out[7] = byte((in >> 0x38) & 0xFF) +} + +func load8(in []byte) uint64 { + ret := uint64(in[7]) + for i := 6; i >= 0; i-- { + ret <<= 8 + ret |= uint64(in[i]) + } + return ret +} + +func bitRev(a gf) gf { + a = ((a & 0x00FF) << 8) | ((a & 0xFF00) >> 8) + a = ((a & 0x0F0F) << 4) | ((a & 0xF0F0) >> 4) + a = ((a & 0x3333) << 2) | ((a & 0xCCCC) >> 2) + a = ((a & 0x5555) << 1) | ((a & 0xAAAA) >> 1) + + return a >> unusedBits +} + +type scheme struct{} + +var sch kem.Scheme = &scheme{} + +// Scheme returns a KEM interface. +func Scheme() kem.Scheme { return sch } + +func (*scheme) Name() string { return "mceliece348864f" } +func (*scheme) PublicKeySize() int { return PublicKeySize } +func (*scheme) PrivateKeySize() int { return PrivateKeySize } +func (*scheme) SeedSize() int { return seedSize } +func (*scheme) SharedKeySize() int { return SharedKeySize } +func (*scheme) CiphertextSize() int { return CiphertextSize } +func (*scheme) EncapsulationSeedSize() int { return encapsulationSeedSize } + +func (sk *PrivateKey) Scheme() kem.Scheme { return sch } +func (pk *PublicKey) Scheme() kem.Scheme { return sch } + +func (sk *PrivateKey) MarshalBinary() ([]byte, error) { + var ret [PrivateKeySize]byte + copy(ret[:], sk.sk[:]) + return ret[:], nil +} + +// MarshalCompressedBinary returns a 32-byte seed that can be used to regenerate +// the key pair when passed to DeriveKeyPair +func (sk *PrivateKey) MarshalCompressedBinary() []byte { + seed := [32]byte{} + copy(seed[:], sk.sk[:32]) + return seed[:] +} + +func (sk *PrivateKey) Equal(other kem.PrivateKey) bool { + oth, ok := other.(*PrivateKey) + if !ok { + return false + } + return bytes.Equal(sk.sk[:], oth.sk[:]) +} + +func (pk *PublicKey) Equal(other kem.PublicKey) bool { + oth, ok := other.(*PublicKey) + if !ok { + return false + } + return bytes.Equal(pk.pk[:], oth.pk[:]) +} + +func (sk *PrivateKey) Public() kem.PublicKey { + pk, _ := sch.DeriveKeyPair(sk.MarshalCompressedBinary()) + return pk +} + +func (pk *PublicKey) MarshalBinary() ([]byte, error) { + var ret [PublicKeySize]byte + copy(ret[:], pk.pk[:]) + return ret[:], nil +} + +func (*scheme) GenerateKeyPair() (kem.PublicKey, kem.PrivateKey, error) { + seed := [32]byte{} + _, err := io.ReadFull(cryptoRand.Reader, seed[:]) + if err != nil { + return nil, nil, err + } + pk, sk := deriveKeyPair(seed[:]) + return pk, sk, nil +} + +func (*scheme) DeriveKeyPair(seed []byte) (kem.PublicKey, kem.PrivateKey) { + if len(seed) != seedSize { + panic("seed must be of length EncapsulationSeedSize") + } + return deriveKeyPair(seed) +} + +func encapsulate(pk kem.PublicKey, rand randFunc) (ct, ss []byte, err error) { + ppk, ok := pk.(*PublicKey) + if !ok { + return nil, nil, kem.ErrTypeMismatch + } + + ciphertext := [CiphertextSize]byte{} + sharedSecret := [SharedKeySize]byte{} + err = kemEncapsulate(&ciphertext, &sharedSecret, &ppk.pk, rand) + if err != nil { + return nil, nil, err + } + return ciphertext[:], sharedSecret[:], nil +} + +func (*scheme) Encapsulate(pk kem.PublicKey) (ct, ss []byte, err error) { + return encapsulate(pk, func(pool []byte) error { + _, err2 := io.ReadFull(cryptoRand.Reader, pool) + return err2 + }) +} + +func (*scheme) EncapsulateDeterministically(pk kem.PublicKey, seed []byte) (ct, ss []byte, err error) { + // This follow test standards + if len(seed) != encapsulationSeedSize { + return nil, nil, kem.ErrSeedSize + } + + entropy := [48]byte{} + waste := [32]byte{} + copy(entropy[:], seed) + dRng := nist.NewDRBG(&entropy) + dRng.Fill(waste[:]) + + return encapsulate(pk, func(pool []byte) error { + dRng.Fill(pool) + return nil + }) +} + +func (*scheme) Decapsulate(sk kem.PrivateKey, ct []byte) ([]byte, error) { + ssk, ok := sk.(*PrivateKey) + if !ok { + return nil, kem.ErrTypeMismatch + } + + if len(ct) != CiphertextSize { + return nil, kem.ErrCiphertextSize + } + ss := [SharedKeySize]byte{} + err := kemDecapsulate(&ss, (*[CiphertextSize]byte)(ct), &ssk.sk) + if err != nil { + return nil, err + } + return ss[:], nil +} + +func (*scheme) UnmarshalBinaryPublicKey(buf []byte) (kem.PublicKey, error) { + if len(buf) != PublicKeySize { + return nil, kem.ErrPubKeySize + } + pk := [PublicKeySize]byte{} + copy(pk[:], buf) + return &PublicKey{pk: pk}, nil +} + +func (*scheme) UnmarshalBinaryPrivateKey(buf []byte) (kem.PrivateKey, error) { + if len(buf) != PrivateKeySize { + return nil, kem.ErrPrivKeySize + } + sk := [PrivateKeySize]byte{} + copy(sk[:], buf) + return &PrivateKey{sk: sk}, nil +} diff --git a/kem/mceliece/mceliece348864f/pk_gen.go b/kem/mceliece/mceliece348864f/pk_gen.go new file mode 100644 index 000000000..c3d71f0e6 --- /dev/null +++ b/kem/mceliece/mceliece348864f/pk_gen.go @@ -0,0 +1,222 @@ +// Code generated from pk_gen.templ.go. DO NOT EDIT. + +package mceliece348864f + +import ( + "github.com/cloudflare/circl/kem/mceliece/internal" + "github.com/cloudflare/circl/math/gf4096" +) + +func ctz(in uint64) int { + m := 0 + r := 0 + for i := 0; i < 64; i++ { + b := int((in >> i) & 1) + m |= b + r += (m ^ 1) & (b ^ 1) + } + return r +} + +func sameMask64(x, y uint16) uint64 { + mask := uint64(x ^ y) + mask -= 1 + mask >>= 63 + mask = -mask + return mask +} + +func movColumns(mat *[pkNRows][sysN / 8]byte, pi []int16, pivots *uint64) bool { + buf := [64]uint64{} + ctzList := [32]uint64{} + row := pkNRows - 32 + blockIdx := row / 8 + + // extract the 32x64 matrix + + for i := 0; i < 32; i++ { + buf[i] = load8(mat[row+i][blockIdx:]) + } + + // compute the column indices of pivots by Gaussian elimination. + // the indices are stored in ctz_list + + *pivots = 0 + + for i := 0; i < 32; i++ { + t := buf[i] + for j := i + 1; j < 32; j++ { + t |= buf[j] + } + if t == 0 { + return false // return if buf is not full rank + } + s := ctz(t) + ctzList[i] = uint64(s) + *pivots |= 1 << s + + for j := i + 1; j < 32; j++ { + mask := (buf[i] >> s) & 1 + mask -= 1 + buf[i] ^= buf[j] & mask + } + for j := i + 1; j < 32; j++ { + mask := (buf[j] >> s) & 1 + mask = -mask + buf[j] ^= buf[i] & mask + } + } + + // updating permutation + for j := 0; j < 32; j++ { + for k := j + 1; k < 64; k++ { + d := uint64(pi[row+j] ^ pi[row+k]) + d &= sameMask64(uint16(k), uint16(ctzList[j])) + pi[row+j] ^= int16(d) + pi[row+k] ^= int16(d) + } + } + + // moving columns of mat according to the column indices of pivots + for i := 0; i < pkNRows; i++ { + + t := load8(mat[i][blockIdx:]) + + for j := 0; j < 32; j++ { + d := t >> j + d ^= t >> ctzList[j] + d &= 1 + + t ^= d << ctzList[j] + t ^= d << j + } + + store8(mat[i][blockIdx:], t) + + } + + return true +} + +// nolint:unparam +func pkGen(pk *[pkNRows * pkRowBytes]byte, sk []byte, perm *[1 << gfBits]uint32, pi *[1 << gfBits]int16, pivots *uint64) bool { + buf := [1 << gfBits]uint64{} + mat := [pkNRows][sysN / 8]byte{} + g := [sysT + 1]gf{} + L := [sysN]gf{} + inv := [sysN]gf{} + + g[sysT] = 1 + for i := 0; i < sysT; i++ { + g[i] = loadGf(sk) + sk = sk[2:] + } + + for i := 0; i < 1<> 31) == (buf[i] >> 31) { + return false + } + } + + for i := 0; i < (1 << gfBits); i++ { + pi[i] = int16(buf[i] & gfMask) + } + + for i := 0; i < sysN; i++ { + L[i] = bitRev(gf(pi[i])) + } + + // filling the matrix + root(&inv, &g, &L) + + for i := 0; i < sysN; i++ { + inv[i] = gf4096.Inv(inv[i]) + } + + for i := 0; i < sysT; i++ { + for j := 0; j < sysN; j += 8 { + for k := 0; k < gfBits; k++ { + b := byte(inv[j+7]>>k) & 1 + b <<= 1 + b |= byte(inv[j+6]>>k) & 1 + b <<= 1 + b |= byte(inv[j+5]>>k) & 1 + b <<= 1 + b |= byte(inv[j+4]>>k) & 1 + b <<= 1 + b |= byte(inv[j+3]>>k) & 1 + b <<= 1 + b |= byte(inv[j+2]>>k) & 1 + b <<= 1 + b |= byte(inv[j+1]>>k) & 1 + b <<= 1 + b |= byte(inv[j+0]>>k) & 1 + + mat[i*gfBits+k][j/8] = b + } + } + + for j := 0; j < sysN; j++ { + inv[j] = gf4096.Mul(inv[j], L[j]) + } + } + + // gaussian elimination + for i := 0; i < (pkNRows+7)/8; i++ { + for j := 0; j < 8; j++ { + row := i*8 + j + + if row >= pkNRows { + break + } + + if row == pkNRows-32 { + if !movColumns(&mat, pi[:], pivots) { + return false + } + } + + for k := row + 1; k < pkNRows; k++ { + mask := mat[row][i] ^ mat[k][i] + mask >>= j + mask &= 1 + mask = -mask + + for c := 0; c < sysN/8; c++ { + mat[row][c] ^= mat[k][c] & mask + } + } + + // return if not systematic + if ((mat[row][i] >> j) & 1) == 0 { + return false + } + + for k := 0; k < pkNRows; k++ { + if k != row { + mask := mat[k][i] >> j + mask &= 1 + mask = -mask + + for c := 0; c < sysN/8; c++ { + mat[k][c] ^= mat[row][c] & mask + } + } + } + } + } + + for i := 0; i < pkNRows; i++ { + copy(pk[i*pkRowBytes:], mat[i][pkNRows/8:pkNRows/8+pkRowBytes]) + } + + return true +} diff --git a/kem/mceliece/mceliece348864f/pk_gen_test.go b/kem/mceliece/mceliece348864f/pk_gen_test.go new file mode 100644 index 000000000..a59c9a3d4 --- /dev/null +++ b/kem/mceliece/mceliece348864f/pk_gen_test.go @@ -0,0 +1,44 @@ +package mceliece348864f + +import ( + "testing" + + "github.com/cloudflare/circl/internal/test" +) + +func TestCtz(t *testing.T) { + expected := []int{ + 64, 0, 1, 0, 2, 0, 1, 0, 3, 0, 1, 0, 2, 0, 1, 0, 4, 0, 1, 0, 2, 0, 1, 0, 3, 0, 1, 0, 2, + 0, 1, 0, 5, 0, 1, 0, 2, 0, 1, 0, 3, 0, 1, 0, 2, 0, 1, 0, 4, 0, 1, 0, 2, 0, 1, 0, 3, 0, + 1, 0, 2, 0, 1, 0, 6, 0, 1, 0, 2, 0, 1, 0, 3, 0, 1, 0, 2, 0, 1, 0, 4, 0, 1, 0, 2, 0, 1, + 0, 3, 0, 1, 0, 2, 0, 1, 0, 5, 0, 1, 0, 2, 0, 1, 0, 3, 0, 1, 0, 2, 0, 1, 0, 4, 0, 1, 0, + 2, 0, 1, 0, 3, 0, 1, 0, 2, 0, 1, 0, 7, 0, 1, 0, 2, 0, 1, 0, 3, 0, 1, 0, 2, 0, 1, 0, 4, + 0, 1, 0, 2, 0, 1, 0, 3, 0, 1, 0, 2, 0, 1, 0, 5, 0, 1, 0, 2, 0, 1, 0, 3, 0, 1, 0, 2, 0, + 1, 0, 4, 0, 1, 0, + } + for i := uint64(0); i < 100; i++ { + got := ctz(i) + if got != expected[i] { + test.ReportError(t, got, expected[i]) + } + } +} + +func TestSameMask(t *testing.T) { + expected := []uint64{ + 0xFFFFFFFFFFFFFFFF, 0, 0, 0, 0, 0, + 0xFFFFFFFFFFFFFFFF, 0, 0, 0, 0, 0, + 0xFFFFFFFFFFFFFFFF, 0, 0, 0, 0, 0, + 0xFFFFFFFFFFFFFFFF, 0, 0, 0, 0, 0, + 0xFFFFFFFFFFFFFFFF, + } + for i := 0; i < 5; i++ { + for j := 0; j < 5; j++ { + got := sameMask64(uint16(i), uint16(j)) + want := expected[i*5+j] + if got != want { + test.ReportError(t, got, want) + } + } + } +} diff --git a/kem/mceliece/mceliece460896/benes.go b/kem/mceliece/mceliece460896/benes.go new file mode 100644 index 000000000..5610405dc --- /dev/null +++ b/kem/mceliece/mceliece460896/benes.go @@ -0,0 +1,121 @@ +// Code generated from benes_other.templ.go. DO NOT EDIT. + +package mceliece460896 + +func layerIn(data *[2][64]uint64, bits *[64]uint64, lgs int) { + s := 1 << lgs + index := 0 + for i := 0; i < 64; i += s * 2 { + for j := i; j < i+s; j++ { + d := data[0][j+0] ^ data[0][j+s] + d &= bits[index] + data[0][j+0] ^= d + data[0][j+s] ^= d + index += 1 + + d = data[1][j+0] ^ data[1][j+s] + d &= bits[index] + data[1][j+0] ^= d + data[1][j+s] ^= d + index += 1 + } + } +} + +func layerEx(data *[2][64]uint64, bits *[64]uint64, lgs int) { + data0Idx := 0 + data1Idx := 32 + s := 1 << lgs + if s == 64 { + for j := 0; j < 64; j++ { + d := data[0][j+0] ^ data[1][j] + d &= bits[data0Idx] + data0Idx += 1 + data[0][j+0] ^= d + data[1][j] ^= d + } + } else { + for i := 0; i < 64; i += s * 2 { + for j := i; j < i+s; j++ { + d := data[0][j+0] ^ data[0][j+s] + d &= bits[data0Idx] + data0Idx += 1 + + data[0][j+0] ^= d + data[0][j+s] ^= d + + // data[1] computations + d = data[1][j+0] ^ data[1][j+s] + d &= bits[data1Idx] + data1Idx += 1 + + data[1][j+0] ^= d + data[1][j+s] ^= d + } + } + } +} + +func applyBenes(r *[1024]byte, bits *[condBytes]byte) { + rIntV := [2][64]uint64{} + rIntH := [2][64]uint64{} + bIntV := [64]uint64{} + bIntH := [64]uint64{} + bitsPtr := bits[:] + + for i := 0; i < 64; i++ { + rIntV[0][i] = load8(r[i*16:]) + rIntV[1][i] = load8(r[i*16+8:]) + } + + transpose64x64(&rIntH[0], &rIntV[0]) + transpose64x64(&rIntH[1], &rIntV[1]) + + for iter := 0; iter <= 6; iter++ { + for i := 0; i < 64; i++ { + bIntV[i] = load8(bitsPtr) + bitsPtr = bitsPtr[8:] + } + transpose64x64(&bIntH, &bIntV) + layerEx(&rIntH, &bIntH, iter) + } + + transpose64x64(&rIntV[0], &rIntH[0]) + transpose64x64(&rIntV[1], &rIntH[1]) + + for iter := 0; iter <= 5; iter++ { + for i := 0; i < 64; i++ { + bIntV[i] = load8(bitsPtr) + bitsPtr = bitsPtr[8:] + } + layerIn(&rIntV, &bIntV, iter) + } + + for iter := 4; iter >= 0; iter-- { + for i := 0; i < 64; i++ { + bIntV[i] = load8(bitsPtr) + bitsPtr = bitsPtr[8:] + } + layerIn(&rIntV, &bIntV, iter) + } + + transpose64x64(&rIntH[0], &rIntV[0]) + transpose64x64(&rIntH[1], &rIntV[1]) + + for iter := 6; iter >= 0; iter-- { + for i := 0; i < 64; i++ { + bIntV[i] = load8(bitsPtr) + bitsPtr = bitsPtr[8:] + } + transpose64x64(&bIntH, &bIntV) + layerEx(&rIntH, &bIntH, iter) + } + + transpose64x64(&rIntV[0], &rIntH[0]) + transpose64x64(&rIntV[1], &rIntH[1]) + + for i := 0; i < 64; i++ { + store8(r[i*16+0:], rIntV[0][i]) + store8(r[i*16+8:], rIntV[1][i]) + } +} diff --git a/kem/mceliece/mceliece460896/benes_test.go b/kem/mceliece/mceliece460896/benes_test.go new file mode 100644 index 000000000..7a8421070 --- /dev/null +++ b/kem/mceliece/mceliece460896/benes_test.go @@ -0,0 +1,99 @@ +package mceliece460896 + +import ( + "fmt" + "reflect" + "testing" + + "github.com/cloudflare/circl/internal/test" + "github.com/cloudflare/circl/kem/mceliece/testdata" +) + +const testPath = "../testdata/testdata.txt" + +func TestLayerIn(t *testing.T) { + data0, err := testdata.FindTestDataU64("mceliece460896_benes_layer_in_data0_before", testPath) + if err != nil { + t.Fatal(err) + } + data1, err := testdata.FindTestDataU64("mceliece460896_benes_layer_in_data1_before", testPath) + if err != nil { + t.Fatal(err) + } + data := [2][64]uint64{} + copy(data[0][:], data0) + copy(data[1][:], data1) + bitsArg, err := testdata.FindTestDataU64("mceliece460896_benes_layer_in_bits", testPath) + if err != nil { + t.Fatal(err) + } + layerIn(&data, (*[64]uint64)(bitsArg), 0) + want0, err := testdata.FindTestDataU64("mceliece460896_benes_layer_in_data0_after", testPath) + if err != nil { + t.Fatal(err) + } + want1, err := testdata.FindTestDataU64("mceliece460896_benes_layer_in_data1_after", testPath) + if err != nil { + t.Fatal(err) + } + want := [2][64]uint64{} + copy(want[0][:], want0) + copy(want[1][:], want1) + if !reflect.DeepEqual(want, data) { + test.ReportError(t, data, want) + } +} + +func TestLayerEx(t *testing.T) { + data := [2][64]uint64{} + bits := [64]uint64{} + for i := uint64(0); i < 64; i++ { + data[0][i] = 0xFC81 ^ (i * 17) + data[1][i] = 0x9837 ^ (i * 3) + bits[i] = i << 3 + } + layerEx(&data, &bits, 5) + + want := [2][64]uint64{ + { + 0xFC81, 0xFC90, 0xFCA3, 0xFCB2, 0xFCE5, 0xFCF4, 0xFCC7, 0xFCD6, 0xFC09, 0xFC18, + 0xFC6B, 0xFC7A, 0xFC6D, 0xFC7C, 0xFC0F, 0xFC1E, 0xFD91, 0xFDA0, 0xFDB3, 0xFDC2, + 0xFDF5, 0xFD44, 0xFD57, 0xFD26, 0xFD19, 0xFD68, 0xFD7B, 0xFD4A, 0xFD7D, 0xFD8C, + 0xFD9F, 0xFEAE, 0xFEA1, 0xFEB0, 0xFEC3, 0xFED2, 0xFEC5, 0xFED4, 0xFE27, 0xFE36, + 0xFE29, 0xFE38, 0xFE0B, 0xFE1A, 0xFE4D, 0xFE5C, 0xFFEF, 0xFFFE, 0xFFB1, 0xFFC0, + 0xFFD3, 0xFFE2, 0xFFD5, 0xFFA4, 0xFFB7, 0xFF06, 0xFF39, 0xFF08, 0xFF1B, 0xFF6A, + 0xFF5D, 0xF86C, 0xF87F, 0xF88E, + }, { + 0x9837, 0x9834, 0x9831, 0x983E, 0x981B, 0x9818, 0x9805, 0x9802, 0x986F, 0x986C, + 0x9869, 0x9816, 0x9833, 0x9830, 0x983D, 0x983A, 0x9887, 0x9884, 0x9881, 0x988E, + 0x98AB, 0x98A8, 0x98D5, 0x98D2, 0x98BF, 0x98BC, 0x98B9, 0x98A6, 0x9883, 0x9880, + 0x988D, 0x988A, 0x9857, 0x9854, 0x9851, 0x985E, 0x987B, 0x9878, 0x9865, 0x9862, + 0x980F, 0x980C, 0x9809, 0x98B6, 0x9893, 0x9890, 0x989D, 0x989A, 0x9827, 0x9824, + 0x9821, 0x982E, 0x980B, 0x9808, 0x9835, 0x9832, 0x985F, 0x985C, 0x9859, 0x9846, + 0x9863, 0x9860, 0x986D, 0x986A, + }, + } + + if !reflect.DeepEqual(want, data) { + test.ReportError(t, data, want) + } +} + +func TestBenes(t *testing.T) { + rArg, err := testdata.FindTestDataByte("mceliece460896orlarger_benes_apply_benes_r_before", testPath) + if err != nil { + t.Fatal(err) + } + bitsArg, err := testdata.FindTestDataByte("mceliece460896orlarger_benes_apply_benes_bits", testPath) + if err != nil { + t.Fatal(err) + } + applyBenes((*[1024]byte)(rArg), (*[condBytes]byte)(bitsArg)) + want, err := testdata.FindTestDataByte("mceliece460896orlarger_benes_apply_benes_r_after", testPath) + if err != nil { + t.Fatal(err) + } + if !reflect.DeepEqual(want, rArg) { + test.ReportError(t, fmt.Sprintf("%X", rArg), fmt.Sprintf("%X", want)) + } +} diff --git a/kem/mceliece/mceliece460896/mceliece.go b/kem/mceliece/mceliece460896/mceliece.go new file mode 100644 index 000000000..6c5f8e038 --- /dev/null +++ b/kem/mceliece/mceliece460896/mceliece.go @@ -0,0 +1,756 @@ +// Code generated from mceliece.templ.go. DO NOT EDIT. + +package mceliece460896 + +import ( + "bytes" + cryptoRand "crypto/rand" + "io" + + "github.com/cloudflare/circl/internal/nist" + "github.com/cloudflare/circl/internal/sha3" + "github.com/cloudflare/circl/kem" + "github.com/cloudflare/circl/kem/mceliece/internal" + "github.com/cloudflare/circl/math/gf8192" +) + +const ( + sysT = 96 // F(y) is 64 degree + gfBits = gf8192.GfBits + gfMask = gf8192.GfMask + unusedBits = 16 - gfBits + sysN = 4608 + condBytes = (1 << (gfBits - 4)) * (2*gfBits - 1) + irrBytes = sysT * 2 + pkNRows = sysT * gfBits + pkNCols = sysN - pkNRows + pkRowBytes = (pkNCols + 7) / 8 + syndBytes = (pkNRows + 7) / 8 + PublicKeySize = 524160 + PrivateKeySize = 13608 + CiphertextSize = 188 + SharedKeySize = 32 + seedSize = 32 + encapsulationSeedSize = 48 +) + +type PublicKey struct { + pk [PublicKeySize]byte +} + +type PrivateKey struct { + sk [PrivateKeySize]byte +} + +type ( + gf = gf8192.Gf + randFunc = func(pool []byte) error +) + +func deriveKeyPair(entropy []byte) (*PublicKey, *PrivateKey) { + const ( + irrPolys = sysN/8 + (1<>= 8 + + preimage[0] = byte(m & 1) + for i := 0; i < sysN/8; i++ { + preimage[1+i] = (byte(^m) & s[i]) | (byte(m) & e[i]) + } + + copy(preimage[1+sysN/8:][:syndBytes+32], c[0:syndBytes+32]) + return shake256(key[0:32], preimage[:]) +} + +/* input: public key pk, error vector e */ +/* output: syndrome s */ +func syndrome(s []byte, pk []byte, e []byte) { + row := [sysN / 8]byte{} + var b byte + + for i := 0; i < syndBytes; i++ { + s[i] = 0 + } + + for i := 0; i < pkNRows; i++ { + for j := 0; j < sysN/8; j++ { + row[j] = 0 + } + + for j := 0; j < pkRowBytes; j++ { + row[sysN/8-pkRowBytes+j] = pk[j] + } + + row[i/8] |= 1 << (i % 8) + + b = 0 + for j := 0; j < sysN/8; j++ { + b ^= row[j] & e[j] + } + + b ^= b >> 4 + b ^= b >> 2 + b ^= b >> 1 + b &= 1 + + s[i/8] |= b << (i % 8) + + pk = pk[pkRowBytes:] + } +} + +func genE(e []byte, rand randFunc) error { + ind := [sysT]uint16{} + val := [sysT]byte{} + for { + buf := make([]byte, sysT*4) + err := rand(buf) + if err != nil { + return err + } + + nums := [sysT * 2]uint16{} + for i := 0; i < sysT*2; i++ { + nums[i] = loadGf(buf[:]) + buf = buf[2:] + } + + count := 0 + for i := 0; i < sysT*2 && count < sysT; i++ { + if nums[i] < sysN { + ind[count] = nums[i] + count++ + } + } + if count < sysT { + continue + } + + eq := false + for i := 1; i < sysT; i++ { + for j := 0; j < i; j++ { + if ind[i] == ind[j] { + eq = true + } + } + } + + if !eq { + break + } + } + + for j := 0; j < sysT; j++ { + val[j] = 1 << (ind[j] & 7) + } + + for i := uint16(0); i < sysN/8; i++ { + e[i] = 0 + + for j := 0; j < sysT; j++ { + mask := sameMask(i, ind[j]>>3) + e[i] |= val[j] & mask + } + } + return nil +} + +func sameMask(x uint16, y uint16) byte { + mask := uint32(x ^ y) + mask -= 1 + mask >>= 31 + mask = -mask + + return byte(mask & 0xFF) +} + +func supportGen(s *[sysN]gf, c *[condBytes]byte) { + L := [gfBits][(1 << gfBits) / 8]byte{} + for i := 0; i < (1 << gfBits); i++ { + a := bitRev(gf(i)) + for j := 0; j < gfBits; j++ { + L[j][i/8] |= byte(((a >> j) & 1) << (i % 8)) + } + } + for j := 0; j < gfBits; j++ { + applyBenes(&L[j], c) + } + for i := 0; i < sysN; i++ { + s[i] = 0 + for j := gfBits - 1; j >= 0; j-- { + s[i] <<= 1 + s[i] |= uint16(L[j][i/8]>>(i%8)) & 1 + } + } +} + +func synd(out *[sysT * 2]gf, f *[sysT + 1]gf, L *[sysN]gf, r *[sysN / 8]byte) { + for j := 0; j < 2*sysT; j++ { + out[j] = 0 + } + + for i := 0; i < sysN; i++ { + c := uint16(r[i/8]>>(i%8)) & 1 + e := eval(f, L[i]) + eInv := gf8192.Inv(gf8192.Mul(e, e)) + for j := 0; j < 2*sysT; j++ { + out[j] = gf8192.Add(out[j], gf8192.Mul(eInv, c)) + eInv = gf8192.Mul(eInv, L[i]) + } + } +} + +func min(a, b int) int { + if a > b { + return b + } + return a +} + +func bm(out *[sysT + 1]gf, s *[2 * sysT]gf) { + var L, mle, mne uint16 + T := [sysT + 1]gf{} + C := [sysT + 1]gf{} + B := [sysT + 1]gf{} + var b, d, f gf + b = 1 + B[1] = 1 + C[0] = 1 + for N := 0; N < 2*sysT; N++ { + d = 0 + for i := 0; i <= min(N, sysT); i++ { + d ^= gf8192.Mul(C[i], s[N-i]) + } + mne = d + mne -= 1 + mne >>= 15 + mne -= 1 + mle = uint16(N) + mle -= 2 * L + mle >>= 15 + mle -= 1 + mle &= mne + for i := 0; i <= sysT; i++ { + T[i] = C[i] + } + f = gf8192.Div(d, b) + for i := 0; i <= sysT; i++ { + C[i] ^= gf8192.Mul(f, B[i]) & mne + } + L = (L & ^mle) | ((uint16(N) + 1 - L) & mle) + + for i := 0; i <= sysT; i++ { + B[i] = (B[i] & ^mle) | (T[i] & mle) + } + + b = (b & ^mle) | (d & mle) + + for i := sysT; i >= 1; i-- { + B[i] = B[i-1] + } + B[0] = 0 + } + + for i := 0; i <= sysT; i++ { + out[i] = C[sysT-i] + } +} + +func decrypt(e *[sysN / 8]byte, sk []byte, c *[syndBytes]byte) uint16 { + var check uint16 + w := 0 + r := [sysN / 8]byte{} + + g := [sysT + 1]gf{} + L := [sysN]gf{} + + s := [sysT * 2]gf{} + sCmp := [sysT * 2]gf{} + locator := [sysT + 1]gf{} + images := [sysN]gf{} + + copy(r[:syndBytes], c[:syndBytes]) + for i := 0; i < sysT; i++ { + g[i] = loadGf(sk) + sk = sk[2:] + } + g[sysT] = 1 + + supportGen(&L, (*[condBytes]byte)(sk[:condBytes])) + + synd(&s, &g, &L, &r) + bm(&locator, &s) + root(&images, &locator, &L) + + for i := 0; i < sysN/8; i++ { + e[i] = 0 + } + for i := 0; i < sysN; i++ { + t := isZeroMask(images[i]) & 1 + + e[i/8] |= byte(t << (i % 8)) + w += int(t) + } + + synd(&sCmp, &g, &L, e) + check = uint16(w) ^ sysT + for i := 0; i < sysT*2; i++ { + check |= s[i] ^ sCmp[i] + } + + check -= 1 + check >>= 15 + + return check ^ 1 +} + +// check if element is 0, returns a mask with all bits set if so, and 0 otherwise +func isZeroMask(element gf) uint16 { + t := uint32(element) - 1 + t >>= 19 + return uint16(t) +} + +// calculate the minimal polynomial of f and store it in out +func minimalPolynomial(out *[sysT]gf, f *[sysT]gf) bool { + mat := [sysT + 1][sysT]gf{} + mat[0][0] = 1 + for i := 1; i < sysT; i++ { + mat[0][i] = 0 + } + + for i := 0; i < sysT; i++ { + mat[1][i] = f[i] + } + + for i := 2; i <= sysT; i++ { + polyMul(&mat[i], &mat[i-1], f) + } + + for j := 0; j < sysT; j++ { + for k := j + 1; k < sysT; k++ { + mask := isZeroMask(mat[j][j]) + // if mat[j][j] is not zero, add mat[c..sysT+1][k] to mat[c][j] + // do nothing otherwise + for c := j; c <= sysT; c++ { + mat[c][j] ^= mat[c][k] & mask + } + } + + if mat[j][j] == 0 { + return false + } + + inv := gf8192.Inv(mat[j][j]) + for c := 0; c <= sysT; c++ { + mat[c][j] = gf8192.Mul(mat[c][j], inv) + } + + for k := 0; k < sysT; k++ { + if k != j { + t := mat[j][k] + for c := 0; c <= sysT; c++ { + mat[c][k] ^= gf8192.Mul(mat[c][j], t) + } + } + } + } + + for i := 0; i < sysT; i++ { + out[i] = mat[sysT][i] + } + + return true +} + +// calculate the product of a and b in Fq^t +func polyMul(out *[sysT]gf, a *[sysT]gf, b *[sysT]gf) { + product := [sysT*2 - 1]gf{} + for i := 0; i < sysT; i++ { + for j := 0; j < sysT; j++ { + product[i+j] ^= gf8192.Mul(a[i], b[j]) + } + } + + for i := (sysT - 1) * 2; i >= sysT; i-- { + // polynomial reduction + + product[i-sysT+10] ^= product[i] + product[i-sysT+9] ^= product[i] + product[i-sysT+6] ^= product[i] + product[i-sysT] ^= product[i] + + } + + for i := 0; i < sysT; i++ { + out[i] = product[i] + } +} + +func transpose64x64(out, in *[64]uint64) { + masks := [6][2]uint64{ + {0x5555555555555555, 0xAAAAAAAAAAAAAAAA}, + {0x3333333333333333, 0xCCCCCCCCCCCCCCCC}, + {0x0F0F0F0F0F0F0F0F, 0xF0F0F0F0F0F0F0F0}, + {0x00FF00FF00FF00FF, 0xFF00FF00FF00FF00}, + {0x0000FFFF0000FFFF, 0xFFFF0000FFFF0000}, + {0x00000000FFFFFFFF, 0xFFFFFFFF00000000}, + } + copy(out[:], in[:]) + + for d := 5; d >= 0; d-- { + s := 1 << d + for i := 0; i < 64; i += s * 2 { + for j := i; j < i+s; j++ { + x := (out[j] & masks[d][0]) | ((out[j+s] & masks[d][0]) << s) + y := ((out[j] & masks[d][1]) >> s) | (out[j+s] & masks[d][1]) + + out[j+0] = x + out[j+s] = y + } + } + } +} + +func eval(f *[sysT + 1]gf, a gf) gf { + r := f[sysT] + for i := sysT - 1; i >= 0; i-- { + r = gf8192.Mul(r, a) + r = gf8192.Add(r, f[i]) + } + return r +} + +func root(out *[sysN]gf, f *[sysT + 1]gf, l *[sysN]gf) { + for i := 0; i < sysN; i++ { + out[i] = eval(f, l[i]) + } +} + +func shake256(output []byte, input []byte) error { + shake := sha3.NewShake256() + _, err := shake.Write(input) + if err != nil { + return err + } + _, err = shake.Read(output) + if err != nil { + return err + } + return nil +} + +func storeGf(dest []byte, a gf) { + dest[0] = byte(a & 0xFF) + dest[1] = byte(a >> 8) +} + +func loadGf(src []byte) gf { + a := uint16(src[1]) + a <<= 8 + a |= uint16(src[0]) + return a & gfMask +} + +func load4(in []byte) uint32 { + ret := uint32(in[3]) + for i := 2; i >= 0; i-- { + ret <<= 8 + ret |= uint32(in[i]) + } + return ret +} + +func store8(out []byte, in uint64) { + out[0] = byte((in >> 0x00) & 0xFF) + out[1] = byte((in >> 0x08) & 0xFF) + out[2] = byte((in >> 0x10) & 0xFF) + out[3] = byte((in >> 0x18) & 0xFF) + out[4] = byte((in >> 0x20) & 0xFF) + out[5] = byte((in >> 0x28) & 0xFF) + out[6] = byte((in >> 0x30) & 0xFF) + out[7] = byte((in >> 0x38) & 0xFF) +} + +func load8(in []byte) uint64 { + ret := uint64(in[7]) + for i := 6; i >= 0; i-- { + ret <<= 8 + ret |= uint64(in[i]) + } + return ret +} + +func bitRev(a gf) gf { + a = ((a & 0x00FF) << 8) | ((a & 0xFF00) >> 8) + a = ((a & 0x0F0F) << 4) | ((a & 0xF0F0) >> 4) + a = ((a & 0x3333) << 2) | ((a & 0xCCCC) >> 2) + a = ((a & 0x5555) << 1) | ((a & 0xAAAA) >> 1) + + return a >> unusedBits +} + +type scheme struct{} + +var sch kem.Scheme = &scheme{} + +// Scheme returns a KEM interface. +func Scheme() kem.Scheme { return sch } + +func (*scheme) Name() string { return "mceliece460896" } +func (*scheme) PublicKeySize() int { return PublicKeySize } +func (*scheme) PrivateKeySize() int { return PrivateKeySize } +func (*scheme) SeedSize() int { return seedSize } +func (*scheme) SharedKeySize() int { return SharedKeySize } +func (*scheme) CiphertextSize() int { return CiphertextSize } +func (*scheme) EncapsulationSeedSize() int { return encapsulationSeedSize } + +func (sk *PrivateKey) Scheme() kem.Scheme { return sch } +func (pk *PublicKey) Scheme() kem.Scheme { return sch } + +func (sk *PrivateKey) MarshalBinary() ([]byte, error) { + var ret [PrivateKeySize]byte + copy(ret[:], sk.sk[:]) + return ret[:], nil +} + +// MarshalCompressedBinary returns a 32-byte seed that can be used to regenerate +// the key pair when passed to DeriveKeyPair +func (sk *PrivateKey) MarshalCompressedBinary() []byte { + seed := [32]byte{} + copy(seed[:], sk.sk[:32]) + return seed[:] +} + +func (sk *PrivateKey) Equal(other kem.PrivateKey) bool { + oth, ok := other.(*PrivateKey) + if !ok { + return false + } + return bytes.Equal(sk.sk[:], oth.sk[:]) +} + +func (pk *PublicKey) Equal(other kem.PublicKey) bool { + oth, ok := other.(*PublicKey) + if !ok { + return false + } + return bytes.Equal(pk.pk[:], oth.pk[:]) +} + +func (sk *PrivateKey) Public() kem.PublicKey { + pk, _ := sch.DeriveKeyPair(sk.MarshalCompressedBinary()) + return pk +} + +func (pk *PublicKey) MarshalBinary() ([]byte, error) { + var ret [PublicKeySize]byte + copy(ret[:], pk.pk[:]) + return ret[:], nil +} + +func (*scheme) GenerateKeyPair() (kem.PublicKey, kem.PrivateKey, error) { + seed := [32]byte{} + _, err := io.ReadFull(cryptoRand.Reader, seed[:]) + if err != nil { + return nil, nil, err + } + pk, sk := deriveKeyPair(seed[:]) + return pk, sk, nil +} + +func (*scheme) DeriveKeyPair(seed []byte) (kem.PublicKey, kem.PrivateKey) { + if len(seed) != seedSize { + panic("seed must be of length EncapsulationSeedSize") + } + return deriveKeyPair(seed) +} + +func encapsulate(pk kem.PublicKey, rand randFunc) (ct, ss []byte, err error) { + ppk, ok := pk.(*PublicKey) + if !ok { + return nil, nil, kem.ErrTypeMismatch + } + + ciphertext := [CiphertextSize]byte{} + sharedSecret := [SharedKeySize]byte{} + err = kemEncapsulate(&ciphertext, &sharedSecret, &ppk.pk, rand) + if err != nil { + return nil, nil, err + } + return ciphertext[:], sharedSecret[:], nil +} + +func (*scheme) Encapsulate(pk kem.PublicKey) (ct, ss []byte, err error) { + return encapsulate(pk, func(pool []byte) error { + _, err2 := io.ReadFull(cryptoRand.Reader, pool) + return err2 + }) +} + +func (*scheme) EncapsulateDeterministically(pk kem.PublicKey, seed []byte) (ct, ss []byte, err error) { + // This follow test standards + if len(seed) != encapsulationSeedSize { + return nil, nil, kem.ErrSeedSize + } + + entropy := [48]byte{} + waste := [32]byte{} + copy(entropy[:], seed) + dRng := nist.NewDRBG(&entropy) + dRng.Fill(waste[:]) + + return encapsulate(pk, func(pool []byte) error { + dRng.Fill(pool) + return nil + }) +} + +func (*scheme) Decapsulate(sk kem.PrivateKey, ct []byte) ([]byte, error) { + ssk, ok := sk.(*PrivateKey) + if !ok { + return nil, kem.ErrTypeMismatch + } + + if len(ct) != CiphertextSize { + return nil, kem.ErrCiphertextSize + } + ss := [SharedKeySize]byte{} + err := kemDecapsulate(&ss, (*[CiphertextSize]byte)(ct), &ssk.sk) + if err != nil { + return nil, err + } + return ss[:], nil +} + +func (*scheme) UnmarshalBinaryPublicKey(buf []byte) (kem.PublicKey, error) { + if len(buf) != PublicKeySize { + return nil, kem.ErrPubKeySize + } + pk := [PublicKeySize]byte{} + copy(pk[:], buf) + return &PublicKey{pk: pk}, nil +} + +func (*scheme) UnmarshalBinaryPrivateKey(buf []byte) (kem.PrivateKey, error) { + if len(buf) != PrivateKeySize { + return nil, kem.ErrPrivKeySize + } + sk := [PrivateKeySize]byte{} + copy(sk[:], buf) + return &PrivateKey{sk: sk}, nil +} diff --git a/kem/mceliece/mceliece460896/pk_gen.go b/kem/mceliece/mceliece460896/pk_gen.go new file mode 100644 index 000000000..30e75b7e9 --- /dev/null +++ b/kem/mceliece/mceliece460896/pk_gen.go @@ -0,0 +1,125 @@ +// Code generated from pk_gen.templ.go. DO NOT EDIT. + +package mceliece460896 + +import ( + "github.com/cloudflare/circl/kem/mceliece/internal" + "github.com/cloudflare/circl/math/gf8192" +) + +// nolint:unparam +func pkGen(pk *[pkNRows * pkRowBytes]byte, sk []byte, perm *[1 << gfBits]uint32, pi *[1 << gfBits]int16, pivots *uint64) bool { + buf := [1 << gfBits]uint64{} + mat := [pkNRows][sysN / 8]byte{} + g := [sysT + 1]gf{} + L := [sysN]gf{} + inv := [sysN]gf{} + + g[sysT] = 1 + for i := 0; i < sysT; i++ { + g[i] = loadGf(sk) + sk = sk[2:] + } + + for i := 0; i < 1<> 31) == (buf[i] >> 31) { + return false + } + } + + for i := 0; i < (1 << gfBits); i++ { + pi[i] = int16(buf[i] & gfMask) + } + + for i := 0; i < sysN; i++ { + L[i] = bitRev(gf(pi[i])) + } + + // filling the matrix + root(&inv, &g, &L) + + for i := 0; i < sysN; i++ { + inv[i] = gf8192.Inv(inv[i]) + } + + for i := 0; i < sysT; i++ { + for j := 0; j < sysN; j += 8 { + for k := 0; k < gfBits; k++ { + b := byte(inv[j+7]>>k) & 1 + b <<= 1 + b |= byte(inv[j+6]>>k) & 1 + b <<= 1 + b |= byte(inv[j+5]>>k) & 1 + b <<= 1 + b |= byte(inv[j+4]>>k) & 1 + b <<= 1 + b |= byte(inv[j+3]>>k) & 1 + b <<= 1 + b |= byte(inv[j+2]>>k) & 1 + b <<= 1 + b |= byte(inv[j+1]>>k) & 1 + b <<= 1 + b |= byte(inv[j+0]>>k) & 1 + + mat[i*gfBits+k][j/8] = b + } + } + + for j := 0; j < sysN; j++ { + inv[j] = gf8192.Mul(inv[j], L[j]) + } + } + + // gaussian elimination + for i := 0; i < (pkNRows+7)/8; i++ { + for j := 0; j < 8; j++ { + row := i*8 + j + + if row >= pkNRows { + break + } + + for k := row + 1; k < pkNRows; k++ { + mask := mat[row][i] ^ mat[k][i] + mask >>= j + mask &= 1 + mask = -mask + + for c := 0; c < sysN/8; c++ { + mat[row][c] ^= mat[k][c] & mask + } + } + + // return if not systematic + if ((mat[row][i] >> j) & 1) == 0 { + return false + } + + for k := 0; k < pkNRows; k++ { + if k != row { + mask := mat[k][i] >> j + mask &= 1 + mask = -mask + + for c := 0; c < sysN/8; c++ { + mat[k][c] ^= mat[row][c] & mask + } + } + } + } + } + + for i := 0; i < pkNRows; i++ { + copy(pk[i*pkRowBytes:], mat[i][pkNRows/8:pkNRows/8+pkRowBytes]) + } + + return true +} diff --git a/kem/mceliece/mceliece460896f/benes.go b/kem/mceliece/mceliece460896f/benes.go new file mode 100644 index 000000000..7b6ed4ef6 --- /dev/null +++ b/kem/mceliece/mceliece460896f/benes.go @@ -0,0 +1,121 @@ +// Code generated from benes_other.templ.go. DO NOT EDIT. + +package mceliece460896f + +func layerIn(data *[2][64]uint64, bits *[64]uint64, lgs int) { + s := 1 << lgs + index := 0 + for i := 0; i < 64; i += s * 2 { + for j := i; j < i+s; j++ { + d := data[0][j+0] ^ data[0][j+s] + d &= bits[index] + data[0][j+0] ^= d + data[0][j+s] ^= d + index += 1 + + d = data[1][j+0] ^ data[1][j+s] + d &= bits[index] + data[1][j+0] ^= d + data[1][j+s] ^= d + index += 1 + } + } +} + +func layerEx(data *[2][64]uint64, bits *[64]uint64, lgs int) { + data0Idx := 0 + data1Idx := 32 + s := 1 << lgs + if s == 64 { + for j := 0; j < 64; j++ { + d := data[0][j+0] ^ data[1][j] + d &= bits[data0Idx] + data0Idx += 1 + data[0][j+0] ^= d + data[1][j] ^= d + } + } else { + for i := 0; i < 64; i += s * 2 { + for j := i; j < i+s; j++ { + d := data[0][j+0] ^ data[0][j+s] + d &= bits[data0Idx] + data0Idx += 1 + + data[0][j+0] ^= d + data[0][j+s] ^= d + + // data[1] computations + d = data[1][j+0] ^ data[1][j+s] + d &= bits[data1Idx] + data1Idx += 1 + + data[1][j+0] ^= d + data[1][j+s] ^= d + } + } + } +} + +func applyBenes(r *[1024]byte, bits *[condBytes]byte) { + rIntV := [2][64]uint64{} + rIntH := [2][64]uint64{} + bIntV := [64]uint64{} + bIntH := [64]uint64{} + bitsPtr := bits[:] + + for i := 0; i < 64; i++ { + rIntV[0][i] = load8(r[i*16:]) + rIntV[1][i] = load8(r[i*16+8:]) + } + + transpose64x64(&rIntH[0], &rIntV[0]) + transpose64x64(&rIntH[1], &rIntV[1]) + + for iter := 0; iter <= 6; iter++ { + for i := 0; i < 64; i++ { + bIntV[i] = load8(bitsPtr) + bitsPtr = bitsPtr[8:] + } + transpose64x64(&bIntH, &bIntV) + layerEx(&rIntH, &bIntH, iter) + } + + transpose64x64(&rIntV[0], &rIntH[0]) + transpose64x64(&rIntV[1], &rIntH[1]) + + for iter := 0; iter <= 5; iter++ { + for i := 0; i < 64; i++ { + bIntV[i] = load8(bitsPtr) + bitsPtr = bitsPtr[8:] + } + layerIn(&rIntV, &bIntV, iter) + } + + for iter := 4; iter >= 0; iter-- { + for i := 0; i < 64; i++ { + bIntV[i] = load8(bitsPtr) + bitsPtr = bitsPtr[8:] + } + layerIn(&rIntV, &bIntV, iter) + } + + transpose64x64(&rIntH[0], &rIntV[0]) + transpose64x64(&rIntH[1], &rIntV[1]) + + for iter := 6; iter >= 0; iter-- { + for i := 0; i < 64; i++ { + bIntV[i] = load8(bitsPtr) + bitsPtr = bitsPtr[8:] + } + transpose64x64(&bIntH, &bIntV) + layerEx(&rIntH, &bIntH, iter) + } + + transpose64x64(&rIntV[0], &rIntH[0]) + transpose64x64(&rIntV[1], &rIntH[1]) + + for i := 0; i < 64; i++ { + store8(r[i*16+0:], rIntV[0][i]) + store8(r[i*16+8:], rIntV[1][i]) + } +} diff --git a/kem/mceliece/mceliece460896f/mceliece.go b/kem/mceliece/mceliece460896f/mceliece.go new file mode 100644 index 000000000..63f79809f --- /dev/null +++ b/kem/mceliece/mceliece460896f/mceliece.go @@ -0,0 +1,756 @@ +// Code generated from mceliece.templ.go. DO NOT EDIT. + +package mceliece460896f + +import ( + "bytes" + cryptoRand "crypto/rand" + "io" + + "github.com/cloudflare/circl/internal/nist" + "github.com/cloudflare/circl/internal/sha3" + "github.com/cloudflare/circl/kem" + "github.com/cloudflare/circl/kem/mceliece/internal" + "github.com/cloudflare/circl/math/gf8192" +) + +const ( + sysT = 96 // F(y) is 64 degree + gfBits = gf8192.GfBits + gfMask = gf8192.GfMask + unusedBits = 16 - gfBits + sysN = 4608 + condBytes = (1 << (gfBits - 4)) * (2*gfBits - 1) + irrBytes = sysT * 2 + pkNRows = sysT * gfBits + pkNCols = sysN - pkNRows + pkRowBytes = (pkNCols + 7) / 8 + syndBytes = (pkNRows + 7) / 8 + PublicKeySize = 524160 + PrivateKeySize = 13608 + CiphertextSize = 188 + SharedKeySize = 32 + seedSize = 32 + encapsulationSeedSize = 48 +) + +type PublicKey struct { + pk [PublicKeySize]byte +} + +type PrivateKey struct { + sk [PrivateKeySize]byte +} + +type ( + gf = gf8192.Gf + randFunc = func(pool []byte) error +) + +func deriveKeyPair(entropy []byte) (*PublicKey, *PrivateKey) { + const ( + irrPolys = sysN/8 + (1<>= 8 + + preimage[0] = byte(m & 1) + for i := 0; i < sysN/8; i++ { + preimage[1+i] = (byte(^m) & s[i]) | (byte(m) & e[i]) + } + + copy(preimage[1+sysN/8:][:syndBytes+32], c[0:syndBytes+32]) + return shake256(key[0:32], preimage[:]) +} + +/* input: public key pk, error vector e */ +/* output: syndrome s */ +func syndrome(s []byte, pk []byte, e []byte) { + row := [sysN / 8]byte{} + var b byte + + for i := 0; i < syndBytes; i++ { + s[i] = 0 + } + + for i := 0; i < pkNRows; i++ { + for j := 0; j < sysN/8; j++ { + row[j] = 0 + } + + for j := 0; j < pkRowBytes; j++ { + row[sysN/8-pkRowBytes+j] = pk[j] + } + + row[i/8] |= 1 << (i % 8) + + b = 0 + for j := 0; j < sysN/8; j++ { + b ^= row[j] & e[j] + } + + b ^= b >> 4 + b ^= b >> 2 + b ^= b >> 1 + b &= 1 + + s[i/8] |= b << (i % 8) + + pk = pk[pkRowBytes:] + } +} + +func genE(e []byte, rand randFunc) error { + ind := [sysT]uint16{} + val := [sysT]byte{} + for { + buf := make([]byte, sysT*4) + err := rand(buf) + if err != nil { + return err + } + + nums := [sysT * 2]uint16{} + for i := 0; i < sysT*2; i++ { + nums[i] = loadGf(buf[:]) + buf = buf[2:] + } + + count := 0 + for i := 0; i < sysT*2 && count < sysT; i++ { + if nums[i] < sysN { + ind[count] = nums[i] + count++ + } + } + if count < sysT { + continue + } + + eq := false + for i := 1; i < sysT; i++ { + for j := 0; j < i; j++ { + if ind[i] == ind[j] { + eq = true + } + } + } + + if !eq { + break + } + } + + for j := 0; j < sysT; j++ { + val[j] = 1 << (ind[j] & 7) + } + + for i := uint16(0); i < sysN/8; i++ { + e[i] = 0 + + for j := 0; j < sysT; j++ { + mask := sameMask(i, ind[j]>>3) + e[i] |= val[j] & mask + } + } + return nil +} + +func sameMask(x uint16, y uint16) byte { + mask := uint32(x ^ y) + mask -= 1 + mask >>= 31 + mask = -mask + + return byte(mask & 0xFF) +} + +func supportGen(s *[sysN]gf, c *[condBytes]byte) { + L := [gfBits][(1 << gfBits) / 8]byte{} + for i := 0; i < (1 << gfBits); i++ { + a := bitRev(gf(i)) + for j := 0; j < gfBits; j++ { + L[j][i/8] |= byte(((a >> j) & 1) << (i % 8)) + } + } + for j := 0; j < gfBits; j++ { + applyBenes(&L[j], c) + } + for i := 0; i < sysN; i++ { + s[i] = 0 + for j := gfBits - 1; j >= 0; j-- { + s[i] <<= 1 + s[i] |= uint16(L[j][i/8]>>(i%8)) & 1 + } + } +} + +func synd(out *[sysT * 2]gf, f *[sysT + 1]gf, L *[sysN]gf, r *[sysN / 8]byte) { + for j := 0; j < 2*sysT; j++ { + out[j] = 0 + } + + for i := 0; i < sysN; i++ { + c := uint16(r[i/8]>>(i%8)) & 1 + e := eval(f, L[i]) + eInv := gf8192.Inv(gf8192.Mul(e, e)) + for j := 0; j < 2*sysT; j++ { + out[j] = gf8192.Add(out[j], gf8192.Mul(eInv, c)) + eInv = gf8192.Mul(eInv, L[i]) + } + } +} + +func min(a, b int) int { + if a > b { + return b + } + return a +} + +func bm(out *[sysT + 1]gf, s *[2 * sysT]gf) { + var L, mle, mne uint16 + T := [sysT + 1]gf{} + C := [sysT + 1]gf{} + B := [sysT + 1]gf{} + var b, d, f gf + b = 1 + B[1] = 1 + C[0] = 1 + for N := 0; N < 2*sysT; N++ { + d = 0 + for i := 0; i <= min(N, sysT); i++ { + d ^= gf8192.Mul(C[i], s[N-i]) + } + mne = d + mne -= 1 + mne >>= 15 + mne -= 1 + mle = uint16(N) + mle -= 2 * L + mle >>= 15 + mle -= 1 + mle &= mne + for i := 0; i <= sysT; i++ { + T[i] = C[i] + } + f = gf8192.Div(d, b) + for i := 0; i <= sysT; i++ { + C[i] ^= gf8192.Mul(f, B[i]) & mne + } + L = (L & ^mle) | ((uint16(N) + 1 - L) & mle) + + for i := 0; i <= sysT; i++ { + B[i] = (B[i] & ^mle) | (T[i] & mle) + } + + b = (b & ^mle) | (d & mle) + + for i := sysT; i >= 1; i-- { + B[i] = B[i-1] + } + B[0] = 0 + } + + for i := 0; i <= sysT; i++ { + out[i] = C[sysT-i] + } +} + +func decrypt(e *[sysN / 8]byte, sk []byte, c *[syndBytes]byte) uint16 { + var check uint16 + w := 0 + r := [sysN / 8]byte{} + + g := [sysT + 1]gf{} + L := [sysN]gf{} + + s := [sysT * 2]gf{} + sCmp := [sysT * 2]gf{} + locator := [sysT + 1]gf{} + images := [sysN]gf{} + + copy(r[:syndBytes], c[:syndBytes]) + for i := 0; i < sysT; i++ { + g[i] = loadGf(sk) + sk = sk[2:] + } + g[sysT] = 1 + + supportGen(&L, (*[condBytes]byte)(sk[:condBytes])) + + synd(&s, &g, &L, &r) + bm(&locator, &s) + root(&images, &locator, &L) + + for i := 0; i < sysN/8; i++ { + e[i] = 0 + } + for i := 0; i < sysN; i++ { + t := isZeroMask(images[i]) & 1 + + e[i/8] |= byte(t << (i % 8)) + w += int(t) + } + + synd(&sCmp, &g, &L, e) + check = uint16(w) ^ sysT + for i := 0; i < sysT*2; i++ { + check |= s[i] ^ sCmp[i] + } + + check -= 1 + check >>= 15 + + return check ^ 1 +} + +// check if element is 0, returns a mask with all bits set if so, and 0 otherwise +func isZeroMask(element gf) uint16 { + t := uint32(element) - 1 + t >>= 19 + return uint16(t) +} + +// calculate the minimal polynomial of f and store it in out +func minimalPolynomial(out *[sysT]gf, f *[sysT]gf) bool { + mat := [sysT + 1][sysT]gf{} + mat[0][0] = 1 + for i := 1; i < sysT; i++ { + mat[0][i] = 0 + } + + for i := 0; i < sysT; i++ { + mat[1][i] = f[i] + } + + for i := 2; i <= sysT; i++ { + polyMul(&mat[i], &mat[i-1], f) + } + + for j := 0; j < sysT; j++ { + for k := j + 1; k < sysT; k++ { + mask := isZeroMask(mat[j][j]) + // if mat[j][j] is not zero, add mat[c..sysT+1][k] to mat[c][j] + // do nothing otherwise + for c := j; c <= sysT; c++ { + mat[c][j] ^= mat[c][k] & mask + } + } + + if mat[j][j] == 0 { + return false + } + + inv := gf8192.Inv(mat[j][j]) + for c := 0; c <= sysT; c++ { + mat[c][j] = gf8192.Mul(mat[c][j], inv) + } + + for k := 0; k < sysT; k++ { + if k != j { + t := mat[j][k] + for c := 0; c <= sysT; c++ { + mat[c][k] ^= gf8192.Mul(mat[c][j], t) + } + } + } + } + + for i := 0; i < sysT; i++ { + out[i] = mat[sysT][i] + } + + return true +} + +// calculate the product of a and b in Fq^t +func polyMul(out *[sysT]gf, a *[sysT]gf, b *[sysT]gf) { + product := [sysT*2 - 1]gf{} + for i := 0; i < sysT; i++ { + for j := 0; j < sysT; j++ { + product[i+j] ^= gf8192.Mul(a[i], b[j]) + } + } + + for i := (sysT - 1) * 2; i >= sysT; i-- { + // polynomial reduction + + product[i-sysT+10] ^= product[i] + product[i-sysT+9] ^= product[i] + product[i-sysT+6] ^= product[i] + product[i-sysT] ^= product[i] + + } + + for i := 0; i < sysT; i++ { + out[i] = product[i] + } +} + +func transpose64x64(out, in *[64]uint64) { + masks := [6][2]uint64{ + {0x5555555555555555, 0xAAAAAAAAAAAAAAAA}, + {0x3333333333333333, 0xCCCCCCCCCCCCCCCC}, + {0x0F0F0F0F0F0F0F0F, 0xF0F0F0F0F0F0F0F0}, + {0x00FF00FF00FF00FF, 0xFF00FF00FF00FF00}, + {0x0000FFFF0000FFFF, 0xFFFF0000FFFF0000}, + {0x00000000FFFFFFFF, 0xFFFFFFFF00000000}, + } + copy(out[:], in[:]) + + for d := 5; d >= 0; d-- { + s := 1 << d + for i := 0; i < 64; i += s * 2 { + for j := i; j < i+s; j++ { + x := (out[j] & masks[d][0]) | ((out[j+s] & masks[d][0]) << s) + y := ((out[j] & masks[d][1]) >> s) | (out[j+s] & masks[d][1]) + + out[j+0] = x + out[j+s] = y + } + } + } +} + +func eval(f *[sysT + 1]gf, a gf) gf { + r := f[sysT] + for i := sysT - 1; i >= 0; i-- { + r = gf8192.Mul(r, a) + r = gf8192.Add(r, f[i]) + } + return r +} + +func root(out *[sysN]gf, f *[sysT + 1]gf, l *[sysN]gf) { + for i := 0; i < sysN; i++ { + out[i] = eval(f, l[i]) + } +} + +func shake256(output []byte, input []byte) error { + shake := sha3.NewShake256() + _, err := shake.Write(input) + if err != nil { + return err + } + _, err = shake.Read(output) + if err != nil { + return err + } + return nil +} + +func storeGf(dest []byte, a gf) { + dest[0] = byte(a & 0xFF) + dest[1] = byte(a >> 8) +} + +func loadGf(src []byte) gf { + a := uint16(src[1]) + a <<= 8 + a |= uint16(src[0]) + return a & gfMask +} + +func load4(in []byte) uint32 { + ret := uint32(in[3]) + for i := 2; i >= 0; i-- { + ret <<= 8 + ret |= uint32(in[i]) + } + return ret +} + +func store8(out []byte, in uint64) { + out[0] = byte((in >> 0x00) & 0xFF) + out[1] = byte((in >> 0x08) & 0xFF) + out[2] = byte((in >> 0x10) & 0xFF) + out[3] = byte((in >> 0x18) & 0xFF) + out[4] = byte((in >> 0x20) & 0xFF) + out[5] = byte((in >> 0x28) & 0xFF) + out[6] = byte((in >> 0x30) & 0xFF) + out[7] = byte((in >> 0x38) & 0xFF) +} + +func load8(in []byte) uint64 { + ret := uint64(in[7]) + for i := 6; i >= 0; i-- { + ret <<= 8 + ret |= uint64(in[i]) + } + return ret +} + +func bitRev(a gf) gf { + a = ((a & 0x00FF) << 8) | ((a & 0xFF00) >> 8) + a = ((a & 0x0F0F) << 4) | ((a & 0xF0F0) >> 4) + a = ((a & 0x3333) << 2) | ((a & 0xCCCC) >> 2) + a = ((a & 0x5555) << 1) | ((a & 0xAAAA) >> 1) + + return a >> unusedBits +} + +type scheme struct{} + +var sch kem.Scheme = &scheme{} + +// Scheme returns a KEM interface. +func Scheme() kem.Scheme { return sch } + +func (*scheme) Name() string { return "mceliece460896f" } +func (*scheme) PublicKeySize() int { return PublicKeySize } +func (*scheme) PrivateKeySize() int { return PrivateKeySize } +func (*scheme) SeedSize() int { return seedSize } +func (*scheme) SharedKeySize() int { return SharedKeySize } +func (*scheme) CiphertextSize() int { return CiphertextSize } +func (*scheme) EncapsulationSeedSize() int { return encapsulationSeedSize } + +func (sk *PrivateKey) Scheme() kem.Scheme { return sch } +func (pk *PublicKey) Scheme() kem.Scheme { return sch } + +func (sk *PrivateKey) MarshalBinary() ([]byte, error) { + var ret [PrivateKeySize]byte + copy(ret[:], sk.sk[:]) + return ret[:], nil +} + +// MarshalCompressedBinary returns a 32-byte seed that can be used to regenerate +// the key pair when passed to DeriveKeyPair +func (sk *PrivateKey) MarshalCompressedBinary() []byte { + seed := [32]byte{} + copy(seed[:], sk.sk[:32]) + return seed[:] +} + +func (sk *PrivateKey) Equal(other kem.PrivateKey) bool { + oth, ok := other.(*PrivateKey) + if !ok { + return false + } + return bytes.Equal(sk.sk[:], oth.sk[:]) +} + +func (pk *PublicKey) Equal(other kem.PublicKey) bool { + oth, ok := other.(*PublicKey) + if !ok { + return false + } + return bytes.Equal(pk.pk[:], oth.pk[:]) +} + +func (sk *PrivateKey) Public() kem.PublicKey { + pk, _ := sch.DeriveKeyPair(sk.MarshalCompressedBinary()) + return pk +} + +func (pk *PublicKey) MarshalBinary() ([]byte, error) { + var ret [PublicKeySize]byte + copy(ret[:], pk.pk[:]) + return ret[:], nil +} + +func (*scheme) GenerateKeyPair() (kem.PublicKey, kem.PrivateKey, error) { + seed := [32]byte{} + _, err := io.ReadFull(cryptoRand.Reader, seed[:]) + if err != nil { + return nil, nil, err + } + pk, sk := deriveKeyPair(seed[:]) + return pk, sk, nil +} + +func (*scheme) DeriveKeyPair(seed []byte) (kem.PublicKey, kem.PrivateKey) { + if len(seed) != seedSize { + panic("seed must be of length EncapsulationSeedSize") + } + return deriveKeyPair(seed) +} + +func encapsulate(pk kem.PublicKey, rand randFunc) (ct, ss []byte, err error) { + ppk, ok := pk.(*PublicKey) + if !ok { + return nil, nil, kem.ErrTypeMismatch + } + + ciphertext := [CiphertextSize]byte{} + sharedSecret := [SharedKeySize]byte{} + err = kemEncapsulate(&ciphertext, &sharedSecret, &ppk.pk, rand) + if err != nil { + return nil, nil, err + } + return ciphertext[:], sharedSecret[:], nil +} + +func (*scheme) Encapsulate(pk kem.PublicKey) (ct, ss []byte, err error) { + return encapsulate(pk, func(pool []byte) error { + _, err2 := io.ReadFull(cryptoRand.Reader, pool) + return err2 + }) +} + +func (*scheme) EncapsulateDeterministically(pk kem.PublicKey, seed []byte) (ct, ss []byte, err error) { + // This follow test standards + if len(seed) != encapsulationSeedSize { + return nil, nil, kem.ErrSeedSize + } + + entropy := [48]byte{} + waste := [32]byte{} + copy(entropy[:], seed) + dRng := nist.NewDRBG(&entropy) + dRng.Fill(waste[:]) + + return encapsulate(pk, func(pool []byte) error { + dRng.Fill(pool) + return nil + }) +} + +func (*scheme) Decapsulate(sk kem.PrivateKey, ct []byte) ([]byte, error) { + ssk, ok := sk.(*PrivateKey) + if !ok { + return nil, kem.ErrTypeMismatch + } + + if len(ct) != CiphertextSize { + return nil, kem.ErrCiphertextSize + } + ss := [SharedKeySize]byte{} + err := kemDecapsulate(&ss, (*[CiphertextSize]byte)(ct), &ssk.sk) + if err != nil { + return nil, err + } + return ss[:], nil +} + +func (*scheme) UnmarshalBinaryPublicKey(buf []byte) (kem.PublicKey, error) { + if len(buf) != PublicKeySize { + return nil, kem.ErrPubKeySize + } + pk := [PublicKeySize]byte{} + copy(pk[:], buf) + return &PublicKey{pk: pk}, nil +} + +func (*scheme) UnmarshalBinaryPrivateKey(buf []byte) (kem.PrivateKey, error) { + if len(buf) != PrivateKeySize { + return nil, kem.ErrPrivKeySize + } + sk := [PrivateKeySize]byte{} + copy(sk[:], buf) + return &PrivateKey{sk: sk}, nil +} diff --git a/kem/mceliece/mceliece460896f/pk_gen.go b/kem/mceliece/mceliece460896f/pk_gen.go new file mode 100644 index 000000000..0960edebf --- /dev/null +++ b/kem/mceliece/mceliece460896f/pk_gen.go @@ -0,0 +1,222 @@ +// Code generated from pk_gen.templ.go. DO NOT EDIT. + +package mceliece460896f + +import ( + "github.com/cloudflare/circl/kem/mceliece/internal" + "github.com/cloudflare/circl/math/gf8192" +) + +func ctz(in uint64) int { + m := 0 + r := 0 + for i := 0; i < 64; i++ { + b := int((in >> i) & 1) + m |= b + r += (m ^ 1) & (b ^ 1) + } + return r +} + +func sameMask64(x, y uint16) uint64 { + mask := uint64(x ^ y) + mask -= 1 + mask >>= 63 + mask = -mask + return mask +} + +func movColumns(mat *[pkNRows][sysN / 8]byte, pi []int16, pivots *uint64) bool { + buf := [64]uint64{} + ctzList := [32]uint64{} + row := pkNRows - 32 + blockIdx := row / 8 + + // extract the 32x64 matrix + + for i := 0; i < 32; i++ { + buf[i] = load8(mat[row+i][blockIdx:]) + } + + // compute the column indices of pivots by Gaussian elimination. + // the indices are stored in ctz_list + + *pivots = 0 + + for i := 0; i < 32; i++ { + t := buf[i] + for j := i + 1; j < 32; j++ { + t |= buf[j] + } + if t == 0 { + return false // return if buf is not full rank + } + s := ctz(t) + ctzList[i] = uint64(s) + *pivots |= 1 << s + + for j := i + 1; j < 32; j++ { + mask := (buf[i] >> s) & 1 + mask -= 1 + buf[i] ^= buf[j] & mask + } + for j := i + 1; j < 32; j++ { + mask := (buf[j] >> s) & 1 + mask = -mask + buf[j] ^= buf[i] & mask + } + } + + // updating permutation + for j := 0; j < 32; j++ { + for k := j + 1; k < 64; k++ { + d := uint64(pi[row+j] ^ pi[row+k]) + d &= sameMask64(uint16(k), uint16(ctzList[j])) + pi[row+j] ^= int16(d) + pi[row+k] ^= int16(d) + } + } + + // moving columns of mat according to the column indices of pivots + for i := 0; i < pkNRows; i++ { + + t := load8(mat[i][blockIdx:]) + + for j := 0; j < 32; j++ { + d := t >> j + d ^= t >> ctzList[j] + d &= 1 + + t ^= d << ctzList[j] + t ^= d << j + } + + store8(mat[i][blockIdx:], t) + + } + + return true +} + +// nolint:unparam +func pkGen(pk *[pkNRows * pkRowBytes]byte, sk []byte, perm *[1 << gfBits]uint32, pi *[1 << gfBits]int16, pivots *uint64) bool { + buf := [1 << gfBits]uint64{} + mat := [pkNRows][sysN / 8]byte{} + g := [sysT + 1]gf{} + L := [sysN]gf{} + inv := [sysN]gf{} + + g[sysT] = 1 + for i := 0; i < sysT; i++ { + g[i] = loadGf(sk) + sk = sk[2:] + } + + for i := 0; i < 1<> 31) == (buf[i] >> 31) { + return false + } + } + + for i := 0; i < (1 << gfBits); i++ { + pi[i] = int16(buf[i] & gfMask) + } + + for i := 0; i < sysN; i++ { + L[i] = bitRev(gf(pi[i])) + } + + // filling the matrix + root(&inv, &g, &L) + + for i := 0; i < sysN; i++ { + inv[i] = gf8192.Inv(inv[i]) + } + + for i := 0; i < sysT; i++ { + for j := 0; j < sysN; j += 8 { + for k := 0; k < gfBits; k++ { + b := byte(inv[j+7]>>k) & 1 + b <<= 1 + b |= byte(inv[j+6]>>k) & 1 + b <<= 1 + b |= byte(inv[j+5]>>k) & 1 + b <<= 1 + b |= byte(inv[j+4]>>k) & 1 + b <<= 1 + b |= byte(inv[j+3]>>k) & 1 + b <<= 1 + b |= byte(inv[j+2]>>k) & 1 + b <<= 1 + b |= byte(inv[j+1]>>k) & 1 + b <<= 1 + b |= byte(inv[j+0]>>k) & 1 + + mat[i*gfBits+k][j/8] = b + } + } + + for j := 0; j < sysN; j++ { + inv[j] = gf8192.Mul(inv[j], L[j]) + } + } + + // gaussian elimination + for i := 0; i < (pkNRows+7)/8; i++ { + for j := 0; j < 8; j++ { + row := i*8 + j + + if row >= pkNRows { + break + } + + if row == pkNRows-32 { + if !movColumns(&mat, pi[:], pivots) { + return false + } + } + + for k := row + 1; k < pkNRows; k++ { + mask := mat[row][i] ^ mat[k][i] + mask >>= j + mask &= 1 + mask = -mask + + for c := 0; c < sysN/8; c++ { + mat[row][c] ^= mat[k][c] & mask + } + } + + // return if not systematic + if ((mat[row][i] >> j) & 1) == 0 { + return false + } + + for k := 0; k < pkNRows; k++ { + if k != row { + mask := mat[k][i] >> j + mask &= 1 + mask = -mask + + for c := 0; c < sysN/8; c++ { + mat[k][c] ^= mat[row][c] & mask + } + } + } + } + } + + for i := 0; i < pkNRows; i++ { + copy(pk[i*pkRowBytes:], mat[i][pkNRows/8:pkNRows/8+pkRowBytes]) + } + + return true +} diff --git a/kem/mceliece/mceliece6688128/benes.go b/kem/mceliece/mceliece6688128/benes.go new file mode 100644 index 000000000..a1364a7ee --- /dev/null +++ b/kem/mceliece/mceliece6688128/benes.go @@ -0,0 +1,121 @@ +// Code generated from benes_other.templ.go. DO NOT EDIT. + +package mceliece6688128 + +func layerIn(data *[2][64]uint64, bits *[64]uint64, lgs int) { + s := 1 << lgs + index := 0 + for i := 0; i < 64; i += s * 2 { + for j := i; j < i+s; j++ { + d := data[0][j+0] ^ data[0][j+s] + d &= bits[index] + data[0][j+0] ^= d + data[0][j+s] ^= d + index += 1 + + d = data[1][j+0] ^ data[1][j+s] + d &= bits[index] + data[1][j+0] ^= d + data[1][j+s] ^= d + index += 1 + } + } +} + +func layerEx(data *[2][64]uint64, bits *[64]uint64, lgs int) { + data0Idx := 0 + data1Idx := 32 + s := 1 << lgs + if s == 64 { + for j := 0; j < 64; j++ { + d := data[0][j+0] ^ data[1][j] + d &= bits[data0Idx] + data0Idx += 1 + data[0][j+0] ^= d + data[1][j] ^= d + } + } else { + for i := 0; i < 64; i += s * 2 { + for j := i; j < i+s; j++ { + d := data[0][j+0] ^ data[0][j+s] + d &= bits[data0Idx] + data0Idx += 1 + + data[0][j+0] ^= d + data[0][j+s] ^= d + + // data[1] computations + d = data[1][j+0] ^ data[1][j+s] + d &= bits[data1Idx] + data1Idx += 1 + + data[1][j+0] ^= d + data[1][j+s] ^= d + } + } + } +} + +func applyBenes(r *[1024]byte, bits *[condBytes]byte) { + rIntV := [2][64]uint64{} + rIntH := [2][64]uint64{} + bIntV := [64]uint64{} + bIntH := [64]uint64{} + bitsPtr := bits[:] + + for i := 0; i < 64; i++ { + rIntV[0][i] = load8(r[i*16:]) + rIntV[1][i] = load8(r[i*16+8:]) + } + + transpose64x64(&rIntH[0], &rIntV[0]) + transpose64x64(&rIntH[1], &rIntV[1]) + + for iter := 0; iter <= 6; iter++ { + for i := 0; i < 64; i++ { + bIntV[i] = load8(bitsPtr) + bitsPtr = bitsPtr[8:] + } + transpose64x64(&bIntH, &bIntV) + layerEx(&rIntH, &bIntH, iter) + } + + transpose64x64(&rIntV[0], &rIntH[0]) + transpose64x64(&rIntV[1], &rIntH[1]) + + for iter := 0; iter <= 5; iter++ { + for i := 0; i < 64; i++ { + bIntV[i] = load8(bitsPtr) + bitsPtr = bitsPtr[8:] + } + layerIn(&rIntV, &bIntV, iter) + } + + for iter := 4; iter >= 0; iter-- { + for i := 0; i < 64; i++ { + bIntV[i] = load8(bitsPtr) + bitsPtr = bitsPtr[8:] + } + layerIn(&rIntV, &bIntV, iter) + } + + transpose64x64(&rIntH[0], &rIntV[0]) + transpose64x64(&rIntH[1], &rIntV[1]) + + for iter := 6; iter >= 0; iter-- { + for i := 0; i < 64; i++ { + bIntV[i] = load8(bitsPtr) + bitsPtr = bitsPtr[8:] + } + transpose64x64(&bIntH, &bIntV) + layerEx(&rIntH, &bIntH, iter) + } + + transpose64x64(&rIntV[0], &rIntH[0]) + transpose64x64(&rIntV[1], &rIntH[1]) + + for i := 0; i < 64; i++ { + store8(r[i*16+0:], rIntV[0][i]) + store8(r[i*16+8:], rIntV[1][i]) + } +} diff --git a/kem/mceliece/mceliece6688128/mceliece.go b/kem/mceliece/mceliece6688128/mceliece.go new file mode 100644 index 000000000..a026082b8 --- /dev/null +++ b/kem/mceliece/mceliece6688128/mceliece.go @@ -0,0 +1,756 @@ +// Code generated from mceliece.templ.go. DO NOT EDIT. + +package mceliece6688128 + +import ( + "bytes" + cryptoRand "crypto/rand" + "io" + + "github.com/cloudflare/circl/internal/nist" + "github.com/cloudflare/circl/internal/sha3" + "github.com/cloudflare/circl/kem" + "github.com/cloudflare/circl/kem/mceliece/internal" + "github.com/cloudflare/circl/math/gf8192" +) + +const ( + sysT = 128 // F(y) is 64 degree + gfBits = gf8192.GfBits + gfMask = gf8192.GfMask + unusedBits = 16 - gfBits + sysN = 6688 + condBytes = (1 << (gfBits - 4)) * (2*gfBits - 1) + irrBytes = sysT * 2 + pkNRows = sysT * gfBits + pkNCols = sysN - pkNRows + pkRowBytes = (pkNCols + 7) / 8 + syndBytes = (pkNRows + 7) / 8 + PublicKeySize = 1044992 + PrivateKeySize = 13932 + CiphertextSize = 240 + SharedKeySize = 32 + seedSize = 32 + encapsulationSeedSize = 48 +) + +type PublicKey struct { + pk [PublicKeySize]byte +} + +type PrivateKey struct { + sk [PrivateKeySize]byte +} + +type ( + gf = gf8192.Gf + randFunc = func(pool []byte) error +) + +func deriveKeyPair(entropy []byte) (*PublicKey, *PrivateKey) { + const ( + irrPolys = sysN/8 + (1<>= 8 + + preimage[0] = byte(m & 1) + for i := 0; i < sysN/8; i++ { + preimage[1+i] = (byte(^m) & s[i]) | (byte(m) & e[i]) + } + + copy(preimage[1+sysN/8:][:syndBytes+32], c[0:syndBytes+32]) + return shake256(key[0:32], preimage[:]) +} + +/* input: public key pk, error vector e */ +/* output: syndrome s */ +func syndrome(s []byte, pk []byte, e []byte) { + row := [sysN / 8]byte{} + var b byte + + for i := 0; i < syndBytes; i++ { + s[i] = 0 + } + + for i := 0; i < pkNRows; i++ { + for j := 0; j < sysN/8; j++ { + row[j] = 0 + } + + for j := 0; j < pkRowBytes; j++ { + row[sysN/8-pkRowBytes+j] = pk[j] + } + + row[i/8] |= 1 << (i % 8) + + b = 0 + for j := 0; j < sysN/8; j++ { + b ^= row[j] & e[j] + } + + b ^= b >> 4 + b ^= b >> 2 + b ^= b >> 1 + b &= 1 + + s[i/8] |= b << (i % 8) + + pk = pk[pkRowBytes:] + } +} + +func genE(e []byte, rand randFunc) error { + ind := [sysT]uint16{} + val := [sysT]byte{} + for { + buf := make([]byte, sysT*4) + err := rand(buf) + if err != nil { + return err + } + + nums := [sysT * 2]uint16{} + for i := 0; i < sysT*2; i++ { + nums[i] = loadGf(buf[:]) + buf = buf[2:] + } + + count := 0 + for i := 0; i < sysT*2 && count < sysT; i++ { + if nums[i] < sysN { + ind[count] = nums[i] + count++ + } + } + if count < sysT { + continue + } + + eq := false + for i := 1; i < sysT; i++ { + for j := 0; j < i; j++ { + if ind[i] == ind[j] { + eq = true + } + } + } + + if !eq { + break + } + } + + for j := 0; j < sysT; j++ { + val[j] = 1 << (ind[j] & 7) + } + + for i := uint16(0); i < sysN/8; i++ { + e[i] = 0 + + for j := 0; j < sysT; j++ { + mask := sameMask(i, ind[j]>>3) + e[i] |= val[j] & mask + } + } + return nil +} + +func sameMask(x uint16, y uint16) byte { + mask := uint32(x ^ y) + mask -= 1 + mask >>= 31 + mask = -mask + + return byte(mask & 0xFF) +} + +func supportGen(s *[sysN]gf, c *[condBytes]byte) { + L := [gfBits][(1 << gfBits) / 8]byte{} + for i := 0; i < (1 << gfBits); i++ { + a := bitRev(gf(i)) + for j := 0; j < gfBits; j++ { + L[j][i/8] |= byte(((a >> j) & 1) << (i % 8)) + } + } + for j := 0; j < gfBits; j++ { + applyBenes(&L[j], c) + } + for i := 0; i < sysN; i++ { + s[i] = 0 + for j := gfBits - 1; j >= 0; j-- { + s[i] <<= 1 + s[i] |= uint16(L[j][i/8]>>(i%8)) & 1 + } + } +} + +func synd(out *[sysT * 2]gf, f *[sysT + 1]gf, L *[sysN]gf, r *[sysN / 8]byte) { + for j := 0; j < 2*sysT; j++ { + out[j] = 0 + } + + for i := 0; i < sysN; i++ { + c := uint16(r[i/8]>>(i%8)) & 1 + e := eval(f, L[i]) + eInv := gf8192.Inv(gf8192.Mul(e, e)) + for j := 0; j < 2*sysT; j++ { + out[j] = gf8192.Add(out[j], gf8192.Mul(eInv, c)) + eInv = gf8192.Mul(eInv, L[i]) + } + } +} + +func min(a, b int) int { + if a > b { + return b + } + return a +} + +func bm(out *[sysT + 1]gf, s *[2 * sysT]gf) { + var L, mle, mne uint16 + T := [sysT + 1]gf{} + C := [sysT + 1]gf{} + B := [sysT + 1]gf{} + var b, d, f gf + b = 1 + B[1] = 1 + C[0] = 1 + for N := 0; N < 2*sysT; N++ { + d = 0 + for i := 0; i <= min(N, sysT); i++ { + d ^= gf8192.Mul(C[i], s[N-i]) + } + mne = d + mne -= 1 + mne >>= 15 + mne -= 1 + mle = uint16(N) + mle -= 2 * L + mle >>= 15 + mle -= 1 + mle &= mne + for i := 0; i <= sysT; i++ { + T[i] = C[i] + } + f = gf8192.Div(d, b) + for i := 0; i <= sysT; i++ { + C[i] ^= gf8192.Mul(f, B[i]) & mne + } + L = (L & ^mle) | ((uint16(N) + 1 - L) & mle) + + for i := 0; i <= sysT; i++ { + B[i] = (B[i] & ^mle) | (T[i] & mle) + } + + b = (b & ^mle) | (d & mle) + + for i := sysT; i >= 1; i-- { + B[i] = B[i-1] + } + B[0] = 0 + } + + for i := 0; i <= sysT; i++ { + out[i] = C[sysT-i] + } +} + +func decrypt(e *[sysN / 8]byte, sk []byte, c *[syndBytes]byte) uint16 { + var check uint16 + w := 0 + r := [sysN / 8]byte{} + + g := [sysT + 1]gf{} + L := [sysN]gf{} + + s := [sysT * 2]gf{} + sCmp := [sysT * 2]gf{} + locator := [sysT + 1]gf{} + images := [sysN]gf{} + + copy(r[:syndBytes], c[:syndBytes]) + for i := 0; i < sysT; i++ { + g[i] = loadGf(sk) + sk = sk[2:] + } + g[sysT] = 1 + + supportGen(&L, (*[condBytes]byte)(sk[:condBytes])) + + synd(&s, &g, &L, &r) + bm(&locator, &s) + root(&images, &locator, &L) + + for i := 0; i < sysN/8; i++ { + e[i] = 0 + } + for i := 0; i < sysN; i++ { + t := isZeroMask(images[i]) & 1 + + e[i/8] |= byte(t << (i % 8)) + w += int(t) + } + + synd(&sCmp, &g, &L, e) + check = uint16(w) ^ sysT + for i := 0; i < sysT*2; i++ { + check |= s[i] ^ sCmp[i] + } + + check -= 1 + check >>= 15 + + return check ^ 1 +} + +// check if element is 0, returns a mask with all bits set if so, and 0 otherwise +func isZeroMask(element gf) uint16 { + t := uint32(element) - 1 + t >>= 19 + return uint16(t) +} + +// calculate the minimal polynomial of f and store it in out +func minimalPolynomial(out *[sysT]gf, f *[sysT]gf) bool { + mat := [sysT + 1][sysT]gf{} + mat[0][0] = 1 + for i := 1; i < sysT; i++ { + mat[0][i] = 0 + } + + for i := 0; i < sysT; i++ { + mat[1][i] = f[i] + } + + for i := 2; i <= sysT; i++ { + polyMul(&mat[i], &mat[i-1], f) + } + + for j := 0; j < sysT; j++ { + for k := j + 1; k < sysT; k++ { + mask := isZeroMask(mat[j][j]) + // if mat[j][j] is not zero, add mat[c..sysT+1][k] to mat[c][j] + // do nothing otherwise + for c := j; c <= sysT; c++ { + mat[c][j] ^= mat[c][k] & mask + } + } + + if mat[j][j] == 0 { + return false + } + + inv := gf8192.Inv(mat[j][j]) + for c := 0; c <= sysT; c++ { + mat[c][j] = gf8192.Mul(mat[c][j], inv) + } + + for k := 0; k < sysT; k++ { + if k != j { + t := mat[j][k] + for c := 0; c <= sysT; c++ { + mat[c][k] ^= gf8192.Mul(mat[c][j], t) + } + } + } + } + + for i := 0; i < sysT; i++ { + out[i] = mat[sysT][i] + } + + return true +} + +// calculate the product of a and b in Fq^t +func polyMul(out *[sysT]gf, a *[sysT]gf, b *[sysT]gf) { + product := [sysT*2 - 1]gf{} + for i := 0; i < sysT; i++ { + for j := 0; j < sysT; j++ { + product[i+j] ^= gf8192.Mul(a[i], b[j]) + } + } + + for i := (sysT - 1) * 2; i >= sysT; i-- { + // polynomial reduction + + product[i-sysT+7] ^= product[i] + product[i-sysT+2] ^= product[i] + product[i-sysT+1] ^= product[i] + product[i-sysT] ^= product[i] + + } + + for i := 0; i < sysT; i++ { + out[i] = product[i] + } +} + +func transpose64x64(out, in *[64]uint64) { + masks := [6][2]uint64{ + {0x5555555555555555, 0xAAAAAAAAAAAAAAAA}, + {0x3333333333333333, 0xCCCCCCCCCCCCCCCC}, + {0x0F0F0F0F0F0F0F0F, 0xF0F0F0F0F0F0F0F0}, + {0x00FF00FF00FF00FF, 0xFF00FF00FF00FF00}, + {0x0000FFFF0000FFFF, 0xFFFF0000FFFF0000}, + {0x00000000FFFFFFFF, 0xFFFFFFFF00000000}, + } + copy(out[:], in[:]) + + for d := 5; d >= 0; d-- { + s := 1 << d + for i := 0; i < 64; i += s * 2 { + for j := i; j < i+s; j++ { + x := (out[j] & masks[d][0]) | ((out[j+s] & masks[d][0]) << s) + y := ((out[j] & masks[d][1]) >> s) | (out[j+s] & masks[d][1]) + + out[j+0] = x + out[j+s] = y + } + } + } +} + +func eval(f *[sysT + 1]gf, a gf) gf { + r := f[sysT] + for i := sysT - 1; i >= 0; i-- { + r = gf8192.Mul(r, a) + r = gf8192.Add(r, f[i]) + } + return r +} + +func root(out *[sysN]gf, f *[sysT + 1]gf, l *[sysN]gf) { + for i := 0; i < sysN; i++ { + out[i] = eval(f, l[i]) + } +} + +func shake256(output []byte, input []byte) error { + shake := sha3.NewShake256() + _, err := shake.Write(input) + if err != nil { + return err + } + _, err = shake.Read(output) + if err != nil { + return err + } + return nil +} + +func storeGf(dest []byte, a gf) { + dest[0] = byte(a & 0xFF) + dest[1] = byte(a >> 8) +} + +func loadGf(src []byte) gf { + a := uint16(src[1]) + a <<= 8 + a |= uint16(src[0]) + return a & gfMask +} + +func load4(in []byte) uint32 { + ret := uint32(in[3]) + for i := 2; i >= 0; i-- { + ret <<= 8 + ret |= uint32(in[i]) + } + return ret +} + +func store8(out []byte, in uint64) { + out[0] = byte((in >> 0x00) & 0xFF) + out[1] = byte((in >> 0x08) & 0xFF) + out[2] = byte((in >> 0x10) & 0xFF) + out[3] = byte((in >> 0x18) & 0xFF) + out[4] = byte((in >> 0x20) & 0xFF) + out[5] = byte((in >> 0x28) & 0xFF) + out[6] = byte((in >> 0x30) & 0xFF) + out[7] = byte((in >> 0x38) & 0xFF) +} + +func load8(in []byte) uint64 { + ret := uint64(in[7]) + for i := 6; i >= 0; i-- { + ret <<= 8 + ret |= uint64(in[i]) + } + return ret +} + +func bitRev(a gf) gf { + a = ((a & 0x00FF) << 8) | ((a & 0xFF00) >> 8) + a = ((a & 0x0F0F) << 4) | ((a & 0xF0F0) >> 4) + a = ((a & 0x3333) << 2) | ((a & 0xCCCC) >> 2) + a = ((a & 0x5555) << 1) | ((a & 0xAAAA) >> 1) + + return a >> unusedBits +} + +type scheme struct{} + +var sch kem.Scheme = &scheme{} + +// Scheme returns a KEM interface. +func Scheme() kem.Scheme { return sch } + +func (*scheme) Name() string { return "mceliece6688128" } +func (*scheme) PublicKeySize() int { return PublicKeySize } +func (*scheme) PrivateKeySize() int { return PrivateKeySize } +func (*scheme) SeedSize() int { return seedSize } +func (*scheme) SharedKeySize() int { return SharedKeySize } +func (*scheme) CiphertextSize() int { return CiphertextSize } +func (*scheme) EncapsulationSeedSize() int { return encapsulationSeedSize } + +func (sk *PrivateKey) Scheme() kem.Scheme { return sch } +func (pk *PublicKey) Scheme() kem.Scheme { return sch } + +func (sk *PrivateKey) MarshalBinary() ([]byte, error) { + var ret [PrivateKeySize]byte + copy(ret[:], sk.sk[:]) + return ret[:], nil +} + +// MarshalCompressedBinary returns a 32-byte seed that can be used to regenerate +// the key pair when passed to DeriveKeyPair +func (sk *PrivateKey) MarshalCompressedBinary() []byte { + seed := [32]byte{} + copy(seed[:], sk.sk[:32]) + return seed[:] +} + +func (sk *PrivateKey) Equal(other kem.PrivateKey) bool { + oth, ok := other.(*PrivateKey) + if !ok { + return false + } + return bytes.Equal(sk.sk[:], oth.sk[:]) +} + +func (pk *PublicKey) Equal(other kem.PublicKey) bool { + oth, ok := other.(*PublicKey) + if !ok { + return false + } + return bytes.Equal(pk.pk[:], oth.pk[:]) +} + +func (sk *PrivateKey) Public() kem.PublicKey { + pk, _ := sch.DeriveKeyPair(sk.MarshalCompressedBinary()) + return pk +} + +func (pk *PublicKey) MarshalBinary() ([]byte, error) { + var ret [PublicKeySize]byte + copy(ret[:], pk.pk[:]) + return ret[:], nil +} + +func (*scheme) GenerateKeyPair() (kem.PublicKey, kem.PrivateKey, error) { + seed := [32]byte{} + _, err := io.ReadFull(cryptoRand.Reader, seed[:]) + if err != nil { + return nil, nil, err + } + pk, sk := deriveKeyPair(seed[:]) + return pk, sk, nil +} + +func (*scheme) DeriveKeyPair(seed []byte) (kem.PublicKey, kem.PrivateKey) { + if len(seed) != seedSize { + panic("seed must be of length EncapsulationSeedSize") + } + return deriveKeyPair(seed) +} + +func encapsulate(pk kem.PublicKey, rand randFunc) (ct, ss []byte, err error) { + ppk, ok := pk.(*PublicKey) + if !ok { + return nil, nil, kem.ErrTypeMismatch + } + + ciphertext := [CiphertextSize]byte{} + sharedSecret := [SharedKeySize]byte{} + err = kemEncapsulate(&ciphertext, &sharedSecret, &ppk.pk, rand) + if err != nil { + return nil, nil, err + } + return ciphertext[:], sharedSecret[:], nil +} + +func (*scheme) Encapsulate(pk kem.PublicKey) (ct, ss []byte, err error) { + return encapsulate(pk, func(pool []byte) error { + _, err2 := io.ReadFull(cryptoRand.Reader, pool) + return err2 + }) +} + +func (*scheme) EncapsulateDeterministically(pk kem.PublicKey, seed []byte) (ct, ss []byte, err error) { + // This follow test standards + if len(seed) != encapsulationSeedSize { + return nil, nil, kem.ErrSeedSize + } + + entropy := [48]byte{} + waste := [32]byte{} + copy(entropy[:], seed) + dRng := nist.NewDRBG(&entropy) + dRng.Fill(waste[:]) + + return encapsulate(pk, func(pool []byte) error { + dRng.Fill(pool) + return nil + }) +} + +func (*scheme) Decapsulate(sk kem.PrivateKey, ct []byte) ([]byte, error) { + ssk, ok := sk.(*PrivateKey) + if !ok { + return nil, kem.ErrTypeMismatch + } + + if len(ct) != CiphertextSize { + return nil, kem.ErrCiphertextSize + } + ss := [SharedKeySize]byte{} + err := kemDecapsulate(&ss, (*[CiphertextSize]byte)(ct), &ssk.sk) + if err != nil { + return nil, err + } + return ss[:], nil +} + +func (*scheme) UnmarshalBinaryPublicKey(buf []byte) (kem.PublicKey, error) { + if len(buf) != PublicKeySize { + return nil, kem.ErrPubKeySize + } + pk := [PublicKeySize]byte{} + copy(pk[:], buf) + return &PublicKey{pk: pk}, nil +} + +func (*scheme) UnmarshalBinaryPrivateKey(buf []byte) (kem.PrivateKey, error) { + if len(buf) != PrivateKeySize { + return nil, kem.ErrPrivKeySize + } + sk := [PrivateKeySize]byte{} + copy(sk[:], buf) + return &PrivateKey{sk: sk}, nil +} diff --git a/kem/mceliece/mceliece6688128/pk_gen.go b/kem/mceliece/mceliece6688128/pk_gen.go new file mode 100644 index 000000000..c6ca6220d --- /dev/null +++ b/kem/mceliece/mceliece6688128/pk_gen.go @@ -0,0 +1,125 @@ +// Code generated from pk_gen.templ.go. DO NOT EDIT. + +package mceliece6688128 + +import ( + "github.com/cloudflare/circl/kem/mceliece/internal" + "github.com/cloudflare/circl/math/gf8192" +) + +// nolint:unparam +func pkGen(pk *[pkNRows * pkRowBytes]byte, sk []byte, perm *[1 << gfBits]uint32, pi *[1 << gfBits]int16, pivots *uint64) bool { + buf := [1 << gfBits]uint64{} + mat := [pkNRows][sysN / 8]byte{} + g := [sysT + 1]gf{} + L := [sysN]gf{} + inv := [sysN]gf{} + + g[sysT] = 1 + for i := 0; i < sysT; i++ { + g[i] = loadGf(sk) + sk = sk[2:] + } + + for i := 0; i < 1<> 31) == (buf[i] >> 31) { + return false + } + } + + for i := 0; i < (1 << gfBits); i++ { + pi[i] = int16(buf[i] & gfMask) + } + + for i := 0; i < sysN; i++ { + L[i] = bitRev(gf(pi[i])) + } + + // filling the matrix + root(&inv, &g, &L) + + for i := 0; i < sysN; i++ { + inv[i] = gf8192.Inv(inv[i]) + } + + for i := 0; i < sysT; i++ { + for j := 0; j < sysN; j += 8 { + for k := 0; k < gfBits; k++ { + b := byte(inv[j+7]>>k) & 1 + b <<= 1 + b |= byte(inv[j+6]>>k) & 1 + b <<= 1 + b |= byte(inv[j+5]>>k) & 1 + b <<= 1 + b |= byte(inv[j+4]>>k) & 1 + b <<= 1 + b |= byte(inv[j+3]>>k) & 1 + b <<= 1 + b |= byte(inv[j+2]>>k) & 1 + b <<= 1 + b |= byte(inv[j+1]>>k) & 1 + b <<= 1 + b |= byte(inv[j+0]>>k) & 1 + + mat[i*gfBits+k][j/8] = b + } + } + + for j := 0; j < sysN; j++ { + inv[j] = gf8192.Mul(inv[j], L[j]) + } + } + + // gaussian elimination + for i := 0; i < (pkNRows+7)/8; i++ { + for j := 0; j < 8; j++ { + row := i*8 + j + + if row >= pkNRows { + break + } + + for k := row + 1; k < pkNRows; k++ { + mask := mat[row][i] ^ mat[k][i] + mask >>= j + mask &= 1 + mask = -mask + + for c := 0; c < sysN/8; c++ { + mat[row][c] ^= mat[k][c] & mask + } + } + + // return if not systematic + if ((mat[row][i] >> j) & 1) == 0 { + return false + } + + for k := 0; k < pkNRows; k++ { + if k != row { + mask := mat[k][i] >> j + mask &= 1 + mask = -mask + + for c := 0; c < sysN/8; c++ { + mat[k][c] ^= mat[row][c] & mask + } + } + } + } + } + + for i := 0; i < pkNRows; i++ { + copy(pk[i*pkRowBytes:], mat[i][pkNRows/8:pkNRows/8+pkRowBytes]) + } + + return true +} diff --git a/kem/mceliece/mceliece6688128f/benes.go b/kem/mceliece/mceliece6688128f/benes.go new file mode 100644 index 000000000..4d63aad29 --- /dev/null +++ b/kem/mceliece/mceliece6688128f/benes.go @@ -0,0 +1,121 @@ +// Code generated from benes_other.templ.go. DO NOT EDIT. + +package mceliece6688128f + +func layerIn(data *[2][64]uint64, bits *[64]uint64, lgs int) { + s := 1 << lgs + index := 0 + for i := 0; i < 64; i += s * 2 { + for j := i; j < i+s; j++ { + d := data[0][j+0] ^ data[0][j+s] + d &= bits[index] + data[0][j+0] ^= d + data[0][j+s] ^= d + index += 1 + + d = data[1][j+0] ^ data[1][j+s] + d &= bits[index] + data[1][j+0] ^= d + data[1][j+s] ^= d + index += 1 + } + } +} + +func layerEx(data *[2][64]uint64, bits *[64]uint64, lgs int) { + data0Idx := 0 + data1Idx := 32 + s := 1 << lgs + if s == 64 { + for j := 0; j < 64; j++ { + d := data[0][j+0] ^ data[1][j] + d &= bits[data0Idx] + data0Idx += 1 + data[0][j+0] ^= d + data[1][j] ^= d + } + } else { + for i := 0; i < 64; i += s * 2 { + for j := i; j < i+s; j++ { + d := data[0][j+0] ^ data[0][j+s] + d &= bits[data0Idx] + data0Idx += 1 + + data[0][j+0] ^= d + data[0][j+s] ^= d + + // data[1] computations + d = data[1][j+0] ^ data[1][j+s] + d &= bits[data1Idx] + data1Idx += 1 + + data[1][j+0] ^= d + data[1][j+s] ^= d + } + } + } +} + +func applyBenes(r *[1024]byte, bits *[condBytes]byte) { + rIntV := [2][64]uint64{} + rIntH := [2][64]uint64{} + bIntV := [64]uint64{} + bIntH := [64]uint64{} + bitsPtr := bits[:] + + for i := 0; i < 64; i++ { + rIntV[0][i] = load8(r[i*16:]) + rIntV[1][i] = load8(r[i*16+8:]) + } + + transpose64x64(&rIntH[0], &rIntV[0]) + transpose64x64(&rIntH[1], &rIntV[1]) + + for iter := 0; iter <= 6; iter++ { + for i := 0; i < 64; i++ { + bIntV[i] = load8(bitsPtr) + bitsPtr = bitsPtr[8:] + } + transpose64x64(&bIntH, &bIntV) + layerEx(&rIntH, &bIntH, iter) + } + + transpose64x64(&rIntV[0], &rIntH[0]) + transpose64x64(&rIntV[1], &rIntH[1]) + + for iter := 0; iter <= 5; iter++ { + for i := 0; i < 64; i++ { + bIntV[i] = load8(bitsPtr) + bitsPtr = bitsPtr[8:] + } + layerIn(&rIntV, &bIntV, iter) + } + + for iter := 4; iter >= 0; iter-- { + for i := 0; i < 64; i++ { + bIntV[i] = load8(bitsPtr) + bitsPtr = bitsPtr[8:] + } + layerIn(&rIntV, &bIntV, iter) + } + + transpose64x64(&rIntH[0], &rIntV[0]) + transpose64x64(&rIntH[1], &rIntV[1]) + + for iter := 6; iter >= 0; iter-- { + for i := 0; i < 64; i++ { + bIntV[i] = load8(bitsPtr) + bitsPtr = bitsPtr[8:] + } + transpose64x64(&bIntH, &bIntV) + layerEx(&rIntH, &bIntH, iter) + } + + transpose64x64(&rIntV[0], &rIntH[0]) + transpose64x64(&rIntV[1], &rIntH[1]) + + for i := 0; i < 64; i++ { + store8(r[i*16+0:], rIntV[0][i]) + store8(r[i*16+8:], rIntV[1][i]) + } +} diff --git a/kem/mceliece/mceliece6688128f/mceliece.go b/kem/mceliece/mceliece6688128f/mceliece.go new file mode 100644 index 000000000..013e4b14d --- /dev/null +++ b/kem/mceliece/mceliece6688128f/mceliece.go @@ -0,0 +1,756 @@ +// Code generated from mceliece.templ.go. DO NOT EDIT. + +package mceliece6688128f + +import ( + "bytes" + cryptoRand "crypto/rand" + "io" + + "github.com/cloudflare/circl/internal/nist" + "github.com/cloudflare/circl/internal/sha3" + "github.com/cloudflare/circl/kem" + "github.com/cloudflare/circl/kem/mceliece/internal" + "github.com/cloudflare/circl/math/gf8192" +) + +const ( + sysT = 128 // F(y) is 64 degree + gfBits = gf8192.GfBits + gfMask = gf8192.GfMask + unusedBits = 16 - gfBits + sysN = 6688 + condBytes = (1 << (gfBits - 4)) * (2*gfBits - 1) + irrBytes = sysT * 2 + pkNRows = sysT * gfBits + pkNCols = sysN - pkNRows + pkRowBytes = (pkNCols + 7) / 8 + syndBytes = (pkNRows + 7) / 8 + PublicKeySize = 1044992 + PrivateKeySize = 13932 + CiphertextSize = 240 + SharedKeySize = 32 + seedSize = 32 + encapsulationSeedSize = 48 +) + +type PublicKey struct { + pk [PublicKeySize]byte +} + +type PrivateKey struct { + sk [PrivateKeySize]byte +} + +type ( + gf = gf8192.Gf + randFunc = func(pool []byte) error +) + +func deriveKeyPair(entropy []byte) (*PublicKey, *PrivateKey) { + const ( + irrPolys = sysN/8 + (1<>= 8 + + preimage[0] = byte(m & 1) + for i := 0; i < sysN/8; i++ { + preimage[1+i] = (byte(^m) & s[i]) | (byte(m) & e[i]) + } + + copy(preimage[1+sysN/8:][:syndBytes+32], c[0:syndBytes+32]) + return shake256(key[0:32], preimage[:]) +} + +/* input: public key pk, error vector e */ +/* output: syndrome s */ +func syndrome(s []byte, pk []byte, e []byte) { + row := [sysN / 8]byte{} + var b byte + + for i := 0; i < syndBytes; i++ { + s[i] = 0 + } + + for i := 0; i < pkNRows; i++ { + for j := 0; j < sysN/8; j++ { + row[j] = 0 + } + + for j := 0; j < pkRowBytes; j++ { + row[sysN/8-pkRowBytes+j] = pk[j] + } + + row[i/8] |= 1 << (i % 8) + + b = 0 + for j := 0; j < sysN/8; j++ { + b ^= row[j] & e[j] + } + + b ^= b >> 4 + b ^= b >> 2 + b ^= b >> 1 + b &= 1 + + s[i/8] |= b << (i % 8) + + pk = pk[pkRowBytes:] + } +} + +func genE(e []byte, rand randFunc) error { + ind := [sysT]uint16{} + val := [sysT]byte{} + for { + buf := make([]byte, sysT*4) + err := rand(buf) + if err != nil { + return err + } + + nums := [sysT * 2]uint16{} + for i := 0; i < sysT*2; i++ { + nums[i] = loadGf(buf[:]) + buf = buf[2:] + } + + count := 0 + for i := 0; i < sysT*2 && count < sysT; i++ { + if nums[i] < sysN { + ind[count] = nums[i] + count++ + } + } + if count < sysT { + continue + } + + eq := false + for i := 1; i < sysT; i++ { + for j := 0; j < i; j++ { + if ind[i] == ind[j] { + eq = true + } + } + } + + if !eq { + break + } + } + + for j := 0; j < sysT; j++ { + val[j] = 1 << (ind[j] & 7) + } + + for i := uint16(0); i < sysN/8; i++ { + e[i] = 0 + + for j := 0; j < sysT; j++ { + mask := sameMask(i, ind[j]>>3) + e[i] |= val[j] & mask + } + } + return nil +} + +func sameMask(x uint16, y uint16) byte { + mask := uint32(x ^ y) + mask -= 1 + mask >>= 31 + mask = -mask + + return byte(mask & 0xFF) +} + +func supportGen(s *[sysN]gf, c *[condBytes]byte) { + L := [gfBits][(1 << gfBits) / 8]byte{} + for i := 0; i < (1 << gfBits); i++ { + a := bitRev(gf(i)) + for j := 0; j < gfBits; j++ { + L[j][i/8] |= byte(((a >> j) & 1) << (i % 8)) + } + } + for j := 0; j < gfBits; j++ { + applyBenes(&L[j], c) + } + for i := 0; i < sysN; i++ { + s[i] = 0 + for j := gfBits - 1; j >= 0; j-- { + s[i] <<= 1 + s[i] |= uint16(L[j][i/8]>>(i%8)) & 1 + } + } +} + +func synd(out *[sysT * 2]gf, f *[sysT + 1]gf, L *[sysN]gf, r *[sysN / 8]byte) { + for j := 0; j < 2*sysT; j++ { + out[j] = 0 + } + + for i := 0; i < sysN; i++ { + c := uint16(r[i/8]>>(i%8)) & 1 + e := eval(f, L[i]) + eInv := gf8192.Inv(gf8192.Mul(e, e)) + for j := 0; j < 2*sysT; j++ { + out[j] = gf8192.Add(out[j], gf8192.Mul(eInv, c)) + eInv = gf8192.Mul(eInv, L[i]) + } + } +} + +func min(a, b int) int { + if a > b { + return b + } + return a +} + +func bm(out *[sysT + 1]gf, s *[2 * sysT]gf) { + var L, mle, mne uint16 + T := [sysT + 1]gf{} + C := [sysT + 1]gf{} + B := [sysT + 1]gf{} + var b, d, f gf + b = 1 + B[1] = 1 + C[0] = 1 + for N := 0; N < 2*sysT; N++ { + d = 0 + for i := 0; i <= min(N, sysT); i++ { + d ^= gf8192.Mul(C[i], s[N-i]) + } + mne = d + mne -= 1 + mne >>= 15 + mne -= 1 + mle = uint16(N) + mle -= 2 * L + mle >>= 15 + mle -= 1 + mle &= mne + for i := 0; i <= sysT; i++ { + T[i] = C[i] + } + f = gf8192.Div(d, b) + for i := 0; i <= sysT; i++ { + C[i] ^= gf8192.Mul(f, B[i]) & mne + } + L = (L & ^mle) | ((uint16(N) + 1 - L) & mle) + + for i := 0; i <= sysT; i++ { + B[i] = (B[i] & ^mle) | (T[i] & mle) + } + + b = (b & ^mle) | (d & mle) + + for i := sysT; i >= 1; i-- { + B[i] = B[i-1] + } + B[0] = 0 + } + + for i := 0; i <= sysT; i++ { + out[i] = C[sysT-i] + } +} + +func decrypt(e *[sysN / 8]byte, sk []byte, c *[syndBytes]byte) uint16 { + var check uint16 + w := 0 + r := [sysN / 8]byte{} + + g := [sysT + 1]gf{} + L := [sysN]gf{} + + s := [sysT * 2]gf{} + sCmp := [sysT * 2]gf{} + locator := [sysT + 1]gf{} + images := [sysN]gf{} + + copy(r[:syndBytes], c[:syndBytes]) + for i := 0; i < sysT; i++ { + g[i] = loadGf(sk) + sk = sk[2:] + } + g[sysT] = 1 + + supportGen(&L, (*[condBytes]byte)(sk[:condBytes])) + + synd(&s, &g, &L, &r) + bm(&locator, &s) + root(&images, &locator, &L) + + for i := 0; i < sysN/8; i++ { + e[i] = 0 + } + for i := 0; i < sysN; i++ { + t := isZeroMask(images[i]) & 1 + + e[i/8] |= byte(t << (i % 8)) + w += int(t) + } + + synd(&sCmp, &g, &L, e) + check = uint16(w) ^ sysT + for i := 0; i < sysT*2; i++ { + check |= s[i] ^ sCmp[i] + } + + check -= 1 + check >>= 15 + + return check ^ 1 +} + +// check if element is 0, returns a mask with all bits set if so, and 0 otherwise +func isZeroMask(element gf) uint16 { + t := uint32(element) - 1 + t >>= 19 + return uint16(t) +} + +// calculate the minimal polynomial of f and store it in out +func minimalPolynomial(out *[sysT]gf, f *[sysT]gf) bool { + mat := [sysT + 1][sysT]gf{} + mat[0][0] = 1 + for i := 1; i < sysT; i++ { + mat[0][i] = 0 + } + + for i := 0; i < sysT; i++ { + mat[1][i] = f[i] + } + + for i := 2; i <= sysT; i++ { + polyMul(&mat[i], &mat[i-1], f) + } + + for j := 0; j < sysT; j++ { + for k := j + 1; k < sysT; k++ { + mask := isZeroMask(mat[j][j]) + // if mat[j][j] is not zero, add mat[c..sysT+1][k] to mat[c][j] + // do nothing otherwise + for c := j; c <= sysT; c++ { + mat[c][j] ^= mat[c][k] & mask + } + } + + if mat[j][j] == 0 { + return false + } + + inv := gf8192.Inv(mat[j][j]) + for c := 0; c <= sysT; c++ { + mat[c][j] = gf8192.Mul(mat[c][j], inv) + } + + for k := 0; k < sysT; k++ { + if k != j { + t := mat[j][k] + for c := 0; c <= sysT; c++ { + mat[c][k] ^= gf8192.Mul(mat[c][j], t) + } + } + } + } + + for i := 0; i < sysT; i++ { + out[i] = mat[sysT][i] + } + + return true +} + +// calculate the product of a and b in Fq^t +func polyMul(out *[sysT]gf, a *[sysT]gf, b *[sysT]gf) { + product := [sysT*2 - 1]gf{} + for i := 0; i < sysT; i++ { + for j := 0; j < sysT; j++ { + product[i+j] ^= gf8192.Mul(a[i], b[j]) + } + } + + for i := (sysT - 1) * 2; i >= sysT; i-- { + // polynomial reduction + + product[i-sysT+7] ^= product[i] + product[i-sysT+2] ^= product[i] + product[i-sysT+1] ^= product[i] + product[i-sysT] ^= product[i] + + } + + for i := 0; i < sysT; i++ { + out[i] = product[i] + } +} + +func transpose64x64(out, in *[64]uint64) { + masks := [6][2]uint64{ + {0x5555555555555555, 0xAAAAAAAAAAAAAAAA}, + {0x3333333333333333, 0xCCCCCCCCCCCCCCCC}, + {0x0F0F0F0F0F0F0F0F, 0xF0F0F0F0F0F0F0F0}, + {0x00FF00FF00FF00FF, 0xFF00FF00FF00FF00}, + {0x0000FFFF0000FFFF, 0xFFFF0000FFFF0000}, + {0x00000000FFFFFFFF, 0xFFFFFFFF00000000}, + } + copy(out[:], in[:]) + + for d := 5; d >= 0; d-- { + s := 1 << d + for i := 0; i < 64; i += s * 2 { + for j := i; j < i+s; j++ { + x := (out[j] & masks[d][0]) | ((out[j+s] & masks[d][0]) << s) + y := ((out[j] & masks[d][1]) >> s) | (out[j+s] & masks[d][1]) + + out[j+0] = x + out[j+s] = y + } + } + } +} + +func eval(f *[sysT + 1]gf, a gf) gf { + r := f[sysT] + for i := sysT - 1; i >= 0; i-- { + r = gf8192.Mul(r, a) + r = gf8192.Add(r, f[i]) + } + return r +} + +func root(out *[sysN]gf, f *[sysT + 1]gf, l *[sysN]gf) { + for i := 0; i < sysN; i++ { + out[i] = eval(f, l[i]) + } +} + +func shake256(output []byte, input []byte) error { + shake := sha3.NewShake256() + _, err := shake.Write(input) + if err != nil { + return err + } + _, err = shake.Read(output) + if err != nil { + return err + } + return nil +} + +func storeGf(dest []byte, a gf) { + dest[0] = byte(a & 0xFF) + dest[1] = byte(a >> 8) +} + +func loadGf(src []byte) gf { + a := uint16(src[1]) + a <<= 8 + a |= uint16(src[0]) + return a & gfMask +} + +func load4(in []byte) uint32 { + ret := uint32(in[3]) + for i := 2; i >= 0; i-- { + ret <<= 8 + ret |= uint32(in[i]) + } + return ret +} + +func store8(out []byte, in uint64) { + out[0] = byte((in >> 0x00) & 0xFF) + out[1] = byte((in >> 0x08) & 0xFF) + out[2] = byte((in >> 0x10) & 0xFF) + out[3] = byte((in >> 0x18) & 0xFF) + out[4] = byte((in >> 0x20) & 0xFF) + out[5] = byte((in >> 0x28) & 0xFF) + out[6] = byte((in >> 0x30) & 0xFF) + out[7] = byte((in >> 0x38) & 0xFF) +} + +func load8(in []byte) uint64 { + ret := uint64(in[7]) + for i := 6; i >= 0; i-- { + ret <<= 8 + ret |= uint64(in[i]) + } + return ret +} + +func bitRev(a gf) gf { + a = ((a & 0x00FF) << 8) | ((a & 0xFF00) >> 8) + a = ((a & 0x0F0F) << 4) | ((a & 0xF0F0) >> 4) + a = ((a & 0x3333) << 2) | ((a & 0xCCCC) >> 2) + a = ((a & 0x5555) << 1) | ((a & 0xAAAA) >> 1) + + return a >> unusedBits +} + +type scheme struct{} + +var sch kem.Scheme = &scheme{} + +// Scheme returns a KEM interface. +func Scheme() kem.Scheme { return sch } + +func (*scheme) Name() string { return "mceliece6688128f" } +func (*scheme) PublicKeySize() int { return PublicKeySize } +func (*scheme) PrivateKeySize() int { return PrivateKeySize } +func (*scheme) SeedSize() int { return seedSize } +func (*scheme) SharedKeySize() int { return SharedKeySize } +func (*scheme) CiphertextSize() int { return CiphertextSize } +func (*scheme) EncapsulationSeedSize() int { return encapsulationSeedSize } + +func (sk *PrivateKey) Scheme() kem.Scheme { return sch } +func (pk *PublicKey) Scheme() kem.Scheme { return sch } + +func (sk *PrivateKey) MarshalBinary() ([]byte, error) { + var ret [PrivateKeySize]byte + copy(ret[:], sk.sk[:]) + return ret[:], nil +} + +// MarshalCompressedBinary returns a 32-byte seed that can be used to regenerate +// the key pair when passed to DeriveKeyPair +func (sk *PrivateKey) MarshalCompressedBinary() []byte { + seed := [32]byte{} + copy(seed[:], sk.sk[:32]) + return seed[:] +} + +func (sk *PrivateKey) Equal(other kem.PrivateKey) bool { + oth, ok := other.(*PrivateKey) + if !ok { + return false + } + return bytes.Equal(sk.sk[:], oth.sk[:]) +} + +func (pk *PublicKey) Equal(other kem.PublicKey) bool { + oth, ok := other.(*PublicKey) + if !ok { + return false + } + return bytes.Equal(pk.pk[:], oth.pk[:]) +} + +func (sk *PrivateKey) Public() kem.PublicKey { + pk, _ := sch.DeriveKeyPair(sk.MarshalCompressedBinary()) + return pk +} + +func (pk *PublicKey) MarshalBinary() ([]byte, error) { + var ret [PublicKeySize]byte + copy(ret[:], pk.pk[:]) + return ret[:], nil +} + +func (*scheme) GenerateKeyPair() (kem.PublicKey, kem.PrivateKey, error) { + seed := [32]byte{} + _, err := io.ReadFull(cryptoRand.Reader, seed[:]) + if err != nil { + return nil, nil, err + } + pk, sk := deriveKeyPair(seed[:]) + return pk, sk, nil +} + +func (*scheme) DeriveKeyPair(seed []byte) (kem.PublicKey, kem.PrivateKey) { + if len(seed) != seedSize { + panic("seed must be of length EncapsulationSeedSize") + } + return deriveKeyPair(seed) +} + +func encapsulate(pk kem.PublicKey, rand randFunc) (ct, ss []byte, err error) { + ppk, ok := pk.(*PublicKey) + if !ok { + return nil, nil, kem.ErrTypeMismatch + } + + ciphertext := [CiphertextSize]byte{} + sharedSecret := [SharedKeySize]byte{} + err = kemEncapsulate(&ciphertext, &sharedSecret, &ppk.pk, rand) + if err != nil { + return nil, nil, err + } + return ciphertext[:], sharedSecret[:], nil +} + +func (*scheme) Encapsulate(pk kem.PublicKey) (ct, ss []byte, err error) { + return encapsulate(pk, func(pool []byte) error { + _, err2 := io.ReadFull(cryptoRand.Reader, pool) + return err2 + }) +} + +func (*scheme) EncapsulateDeterministically(pk kem.PublicKey, seed []byte) (ct, ss []byte, err error) { + // This follow test standards + if len(seed) != encapsulationSeedSize { + return nil, nil, kem.ErrSeedSize + } + + entropy := [48]byte{} + waste := [32]byte{} + copy(entropy[:], seed) + dRng := nist.NewDRBG(&entropy) + dRng.Fill(waste[:]) + + return encapsulate(pk, func(pool []byte) error { + dRng.Fill(pool) + return nil + }) +} + +func (*scheme) Decapsulate(sk kem.PrivateKey, ct []byte) ([]byte, error) { + ssk, ok := sk.(*PrivateKey) + if !ok { + return nil, kem.ErrTypeMismatch + } + + if len(ct) != CiphertextSize { + return nil, kem.ErrCiphertextSize + } + ss := [SharedKeySize]byte{} + err := kemDecapsulate(&ss, (*[CiphertextSize]byte)(ct), &ssk.sk) + if err != nil { + return nil, err + } + return ss[:], nil +} + +func (*scheme) UnmarshalBinaryPublicKey(buf []byte) (kem.PublicKey, error) { + if len(buf) != PublicKeySize { + return nil, kem.ErrPubKeySize + } + pk := [PublicKeySize]byte{} + copy(pk[:], buf) + return &PublicKey{pk: pk}, nil +} + +func (*scheme) UnmarshalBinaryPrivateKey(buf []byte) (kem.PrivateKey, error) { + if len(buf) != PrivateKeySize { + return nil, kem.ErrPrivKeySize + } + sk := [PrivateKeySize]byte{} + copy(sk[:], buf) + return &PrivateKey{sk: sk}, nil +} diff --git a/kem/mceliece/mceliece6688128f/pk_gen.go b/kem/mceliece/mceliece6688128f/pk_gen.go new file mode 100644 index 000000000..9049d3569 --- /dev/null +++ b/kem/mceliece/mceliece6688128f/pk_gen.go @@ -0,0 +1,222 @@ +// Code generated from pk_gen.templ.go. DO NOT EDIT. + +package mceliece6688128f + +import ( + "github.com/cloudflare/circl/kem/mceliece/internal" + "github.com/cloudflare/circl/math/gf8192" +) + +func ctz(in uint64) int { + m := 0 + r := 0 + for i := 0; i < 64; i++ { + b := int((in >> i) & 1) + m |= b + r += (m ^ 1) & (b ^ 1) + } + return r +} + +func sameMask64(x, y uint16) uint64 { + mask := uint64(x ^ y) + mask -= 1 + mask >>= 63 + mask = -mask + return mask +} + +func movColumns(mat *[pkNRows][sysN / 8]byte, pi []int16, pivots *uint64) bool { + buf := [64]uint64{} + ctzList := [32]uint64{} + row := pkNRows - 32 + blockIdx := row / 8 + + // extract the 32x64 matrix + + for i := 0; i < 32; i++ { + buf[i] = load8(mat[row+i][blockIdx:]) + } + + // compute the column indices of pivots by Gaussian elimination. + // the indices are stored in ctz_list + + *pivots = 0 + + for i := 0; i < 32; i++ { + t := buf[i] + for j := i + 1; j < 32; j++ { + t |= buf[j] + } + if t == 0 { + return false // return if buf is not full rank + } + s := ctz(t) + ctzList[i] = uint64(s) + *pivots |= 1 << s + + for j := i + 1; j < 32; j++ { + mask := (buf[i] >> s) & 1 + mask -= 1 + buf[i] ^= buf[j] & mask + } + for j := i + 1; j < 32; j++ { + mask := (buf[j] >> s) & 1 + mask = -mask + buf[j] ^= buf[i] & mask + } + } + + // updating permutation + for j := 0; j < 32; j++ { + for k := j + 1; k < 64; k++ { + d := uint64(pi[row+j] ^ pi[row+k]) + d &= sameMask64(uint16(k), uint16(ctzList[j])) + pi[row+j] ^= int16(d) + pi[row+k] ^= int16(d) + } + } + + // moving columns of mat according to the column indices of pivots + for i := 0; i < pkNRows; i++ { + + t := load8(mat[i][blockIdx:]) + + for j := 0; j < 32; j++ { + d := t >> j + d ^= t >> ctzList[j] + d &= 1 + + t ^= d << ctzList[j] + t ^= d << j + } + + store8(mat[i][blockIdx:], t) + + } + + return true +} + +// nolint:unparam +func pkGen(pk *[pkNRows * pkRowBytes]byte, sk []byte, perm *[1 << gfBits]uint32, pi *[1 << gfBits]int16, pivots *uint64) bool { + buf := [1 << gfBits]uint64{} + mat := [pkNRows][sysN / 8]byte{} + g := [sysT + 1]gf{} + L := [sysN]gf{} + inv := [sysN]gf{} + + g[sysT] = 1 + for i := 0; i < sysT; i++ { + g[i] = loadGf(sk) + sk = sk[2:] + } + + for i := 0; i < 1<> 31) == (buf[i] >> 31) { + return false + } + } + + for i := 0; i < (1 << gfBits); i++ { + pi[i] = int16(buf[i] & gfMask) + } + + for i := 0; i < sysN; i++ { + L[i] = bitRev(gf(pi[i])) + } + + // filling the matrix + root(&inv, &g, &L) + + for i := 0; i < sysN; i++ { + inv[i] = gf8192.Inv(inv[i]) + } + + for i := 0; i < sysT; i++ { + for j := 0; j < sysN; j += 8 { + for k := 0; k < gfBits; k++ { + b := byte(inv[j+7]>>k) & 1 + b <<= 1 + b |= byte(inv[j+6]>>k) & 1 + b <<= 1 + b |= byte(inv[j+5]>>k) & 1 + b <<= 1 + b |= byte(inv[j+4]>>k) & 1 + b <<= 1 + b |= byte(inv[j+3]>>k) & 1 + b <<= 1 + b |= byte(inv[j+2]>>k) & 1 + b <<= 1 + b |= byte(inv[j+1]>>k) & 1 + b <<= 1 + b |= byte(inv[j+0]>>k) & 1 + + mat[i*gfBits+k][j/8] = b + } + } + + for j := 0; j < sysN; j++ { + inv[j] = gf8192.Mul(inv[j], L[j]) + } + } + + // gaussian elimination + for i := 0; i < (pkNRows+7)/8; i++ { + for j := 0; j < 8; j++ { + row := i*8 + j + + if row >= pkNRows { + break + } + + if row == pkNRows-32 { + if !movColumns(&mat, pi[:], pivots) { + return false + } + } + + for k := row + 1; k < pkNRows; k++ { + mask := mat[row][i] ^ mat[k][i] + mask >>= j + mask &= 1 + mask = -mask + + for c := 0; c < sysN/8; c++ { + mat[row][c] ^= mat[k][c] & mask + } + } + + // return if not systematic + if ((mat[row][i] >> j) & 1) == 0 { + return false + } + + for k := 0; k < pkNRows; k++ { + if k != row { + mask := mat[k][i] >> j + mask &= 1 + mask = -mask + + for c := 0; c < sysN/8; c++ { + mat[k][c] ^= mat[row][c] & mask + } + } + } + } + } + + for i := 0; i < pkNRows; i++ { + copy(pk[i*pkRowBytes:], mat[i][pkNRows/8:pkNRows/8+pkRowBytes]) + } + + return true +} diff --git a/kem/mceliece/mceliece6960119/benes.go b/kem/mceliece/mceliece6960119/benes.go new file mode 100644 index 000000000..e05711f98 --- /dev/null +++ b/kem/mceliece/mceliece6960119/benes.go @@ -0,0 +1,121 @@ +// Code generated from benes_other.templ.go. DO NOT EDIT. + +package mceliece6960119 + +func layerIn(data *[2][64]uint64, bits *[64]uint64, lgs int) { + s := 1 << lgs + index := 0 + for i := 0; i < 64; i += s * 2 { + for j := i; j < i+s; j++ { + d := data[0][j+0] ^ data[0][j+s] + d &= bits[index] + data[0][j+0] ^= d + data[0][j+s] ^= d + index += 1 + + d = data[1][j+0] ^ data[1][j+s] + d &= bits[index] + data[1][j+0] ^= d + data[1][j+s] ^= d + index += 1 + } + } +} + +func layerEx(data *[2][64]uint64, bits *[64]uint64, lgs int) { + data0Idx := 0 + data1Idx := 32 + s := 1 << lgs + if s == 64 { + for j := 0; j < 64; j++ { + d := data[0][j+0] ^ data[1][j] + d &= bits[data0Idx] + data0Idx += 1 + data[0][j+0] ^= d + data[1][j] ^= d + } + } else { + for i := 0; i < 64; i += s * 2 { + for j := i; j < i+s; j++ { + d := data[0][j+0] ^ data[0][j+s] + d &= bits[data0Idx] + data0Idx += 1 + + data[0][j+0] ^= d + data[0][j+s] ^= d + + // data[1] computations + d = data[1][j+0] ^ data[1][j+s] + d &= bits[data1Idx] + data1Idx += 1 + + data[1][j+0] ^= d + data[1][j+s] ^= d + } + } + } +} + +func applyBenes(r *[1024]byte, bits *[condBytes]byte) { + rIntV := [2][64]uint64{} + rIntH := [2][64]uint64{} + bIntV := [64]uint64{} + bIntH := [64]uint64{} + bitsPtr := bits[:] + + for i := 0; i < 64; i++ { + rIntV[0][i] = load8(r[i*16:]) + rIntV[1][i] = load8(r[i*16+8:]) + } + + transpose64x64(&rIntH[0], &rIntV[0]) + transpose64x64(&rIntH[1], &rIntV[1]) + + for iter := 0; iter <= 6; iter++ { + for i := 0; i < 64; i++ { + bIntV[i] = load8(bitsPtr) + bitsPtr = bitsPtr[8:] + } + transpose64x64(&bIntH, &bIntV) + layerEx(&rIntH, &bIntH, iter) + } + + transpose64x64(&rIntV[0], &rIntH[0]) + transpose64x64(&rIntV[1], &rIntH[1]) + + for iter := 0; iter <= 5; iter++ { + for i := 0; i < 64; i++ { + bIntV[i] = load8(bitsPtr) + bitsPtr = bitsPtr[8:] + } + layerIn(&rIntV, &bIntV, iter) + } + + for iter := 4; iter >= 0; iter-- { + for i := 0; i < 64; i++ { + bIntV[i] = load8(bitsPtr) + bitsPtr = bitsPtr[8:] + } + layerIn(&rIntV, &bIntV, iter) + } + + transpose64x64(&rIntH[0], &rIntV[0]) + transpose64x64(&rIntH[1], &rIntV[1]) + + for iter := 6; iter >= 0; iter-- { + for i := 0; i < 64; i++ { + bIntV[i] = load8(bitsPtr) + bitsPtr = bitsPtr[8:] + } + transpose64x64(&bIntH, &bIntV) + layerEx(&rIntH, &bIntH, iter) + } + + transpose64x64(&rIntV[0], &rIntH[0]) + transpose64x64(&rIntV[1], &rIntH[1]) + + for i := 0; i < 64; i++ { + store8(r[i*16+0:], rIntV[0][i]) + store8(r[i*16+8:], rIntV[1][i]) + } +} diff --git a/kem/mceliece/mceliece6960119/mceliece.go b/kem/mceliece/mceliece6960119/mceliece.go new file mode 100644 index 000000000..bfed193e7 --- /dev/null +++ b/kem/mceliece/mceliece6960119/mceliece.go @@ -0,0 +1,665 @@ +// Code generated from mceliece.templ.go. DO NOT EDIT. + +package mceliece6960119 + +import ( + "bytes" + cryptoRand "crypto/rand" + "io" + + "github.com/cloudflare/circl/internal/nist" + "github.com/cloudflare/circl/internal/sha3" + "github.com/cloudflare/circl/kem" + "github.com/cloudflare/circl/kem/mceliece/internal" + "github.com/cloudflare/circl/math/gf8192" +) + +const ( + sysT = 119 // F(y) is 64 degree + gfBits = gf8192.GfBits + gfMask = gf8192.GfMask + unusedBits = 16 - gfBits + sysN = 6960 + condBytes = (1 << (gfBits - 4)) * (2*gfBits - 1) + irrBytes = sysT * 2 + pkNRows = sysT * gfBits + pkNCols = sysN - pkNRows + pkRowBytes = (pkNCols + 7) / 8 + syndBytes = (pkNRows + 7) / 8 + PublicKeySize = 1047319 + PrivateKeySize = 13948 + CiphertextSize = 226 + SharedKeySize = 32 + seedSize = 32 + encapsulationSeedSize = 48 +) + +type PublicKey struct { + pk [PublicKeySize]byte +} + +type PrivateKey struct { + sk [PrivateKeySize]byte +} + +type ( + gf = gf8192.Gf + randFunc = func(pool []byte) error +) + +func deriveKeyPair(entropy []byte) (*PublicKey, *PrivateKey) { + const ( + irrPolys = sysN/8 + (1<>3) + e[i] |= val[j] & mask + } + } + return nil +} + +func sameMask(x uint16, y uint16) byte { + mask := uint32(x ^ y) + mask -= 1 + mask >>= 31 + mask = -mask + + return byte(mask & 0xFF) +} + +func supportGen(s *[sysN]gf, c *[condBytes]byte) { + L := [gfBits][(1 << gfBits) / 8]byte{} + for i := 0; i < (1 << gfBits); i++ { + a := bitRev(gf(i)) + for j := 0; j < gfBits; j++ { + L[j][i/8] |= byte(((a >> j) & 1) << (i % 8)) + } + } + for j := 0; j < gfBits; j++ { + applyBenes(&L[j], c) + } + for i := 0; i < sysN; i++ { + s[i] = 0 + for j := gfBits - 1; j >= 0; j-- { + s[i] <<= 1 + s[i] |= uint16(L[j][i/8]>>(i%8)) & 1 + } + } +} + +func synd(out *[sysT * 2]gf, f *[sysT + 1]gf, L *[sysN]gf, r *[sysN / 8]byte) { + for j := 0; j < 2*sysT; j++ { + out[j] = 0 + } + + for i := 0; i < sysN; i++ { + c := uint16(r[i/8]>>(i%8)) & 1 + e := eval(f, L[i]) + eInv := gf8192.Inv(gf8192.Mul(e, e)) + for j := 0; j < 2*sysT; j++ { + out[j] = gf8192.Add(out[j], gf8192.Mul(eInv, c)) + eInv = gf8192.Mul(eInv, L[i]) + } + } +} + +func min(a, b int) int { + if a > b { + return b + } + return a +} + +func bm(out *[sysT + 1]gf, s *[2 * sysT]gf) { + var L, mle, mne uint16 + T := [sysT + 1]gf{} + C := [sysT + 1]gf{} + B := [sysT + 1]gf{} + var b, d, f gf + b = 1 + B[1] = 1 + C[0] = 1 + for N := 0; N < 2*sysT; N++ { + d = 0 + for i := 0; i <= min(N, sysT); i++ { + d ^= gf8192.Mul(C[i], s[N-i]) + } + mne = d + mne -= 1 + mne >>= 15 + mne -= 1 + mle = uint16(N) + mle -= 2 * L + mle >>= 15 + mle -= 1 + mle &= mne + for i := 0; i <= sysT; i++ { + T[i] = C[i] + } + f = gf8192.Div(d, b) + for i := 0; i <= sysT; i++ { + C[i] ^= gf8192.Mul(f, B[i]) & mne + } + L = (L & ^mle) | ((uint16(N) + 1 - L) & mle) + + for i := 0; i <= sysT; i++ { + B[i] = (B[i] & ^mle) | (T[i] & mle) + } + + b = (b & ^mle) | (d & mle) + + for i := sysT; i >= 1; i-- { + B[i] = B[i-1] + } + B[0] = 0 + } + + for i := 0; i <= sysT; i++ { + out[i] = C[sysT-i] + } +} + +func decrypt(e *[sysN / 8]byte, sk []byte, c *[syndBytes]byte) uint16 { + var check uint16 + w := 0 + r := [sysN / 8]byte{} + + g := [sysT + 1]gf{} + L := [sysN]gf{} + + s := [sysT * 2]gf{} + sCmp := [sysT * 2]gf{} + locator := [sysT + 1]gf{} + images := [sysN]gf{} + + copy(r[:syndBytes], c[:syndBytes]) + for i := 0; i < sysT; i++ { + g[i] = loadGf(sk) + sk = sk[2:] + } + g[sysT] = 1 + + supportGen(&L, (*[condBytes]byte)(sk[:condBytes])) + + synd(&s, &g, &L, &r) + bm(&locator, &s) + root(&images, &locator, &L) + + for i := 0; i < sysN/8; i++ { + e[i] = 0 + } + for i := 0; i < sysN; i++ { + t := isZeroMask(images[i]) & 1 + + e[i/8] |= byte(t << (i % 8)) + w += int(t) + } + + synd(&sCmp, &g, &L, e) + check = uint16(w) ^ sysT + for i := 0; i < sysT*2; i++ { + check |= s[i] ^ sCmp[i] + } + + check -= 1 + check >>= 15 + + return check ^ 1 +} + +// check if element is 0, returns a mask with all bits set if so, and 0 otherwise +func isZeroMask(element gf) uint16 { + t := uint32(element) - 1 + t >>= 19 + return uint16(t) +} + +// calculate the minimal polynomial of f and store it in out +func minimalPolynomial(out *[sysT]gf, f *[sysT]gf) bool { + mat := [sysT + 1][sysT]gf{} + mat[0][0] = 1 + for i := 1; i < sysT; i++ { + mat[0][i] = 0 + } + + for i := 0; i < sysT; i++ { + mat[1][i] = f[i] + } + + for i := 2; i <= sysT; i++ { + polyMul(&mat[i], &mat[i-1], f) + } + + for j := 0; j < sysT; j++ { + for k := j + 1; k < sysT; k++ { + mask := isZeroMask(mat[j][j]) + // if mat[j][j] is not zero, add mat[c..sysT+1][k] to mat[c][j] + // do nothing otherwise + for c := j; c <= sysT; c++ { + mat[c][j] ^= mat[c][k] & mask + } + } + + if mat[j][j] == 0 { + return false + } + + inv := gf8192.Inv(mat[j][j]) + for c := 0; c <= sysT; c++ { + mat[c][j] = gf8192.Mul(mat[c][j], inv) + } + + for k := 0; k < sysT; k++ { + if k != j { + t := mat[j][k] + for c := 0; c <= sysT; c++ { + mat[c][k] ^= gf8192.Mul(mat[c][j], t) + } + } + } + } + + for i := 0; i < sysT; i++ { + out[i] = mat[sysT][i] + } + + return true +} + +// calculate the product of a and b in Fq^t +func polyMul(out *[sysT]gf, a *[sysT]gf, b *[sysT]gf) { + product := [sysT*2 - 1]gf{} + for i := 0; i < sysT; i++ { + for j := 0; j < sysT; j++ { + product[i+j] ^= gf8192.Mul(a[i], b[j]) + } + } + + for i := (sysT - 1) * 2; i >= sysT; i-- { + // polynomial reduction + + product[i-sysT+8] ^= product[i] + product[i-sysT+0] ^= product[i] + + } + + for i := 0; i < sysT; i++ { + out[i] = product[i] + } +} + +func transpose64x64(out, in *[64]uint64) { + masks := [6][2]uint64{ + {0x5555555555555555, 0xAAAAAAAAAAAAAAAA}, + {0x3333333333333333, 0xCCCCCCCCCCCCCCCC}, + {0x0F0F0F0F0F0F0F0F, 0xF0F0F0F0F0F0F0F0}, + {0x00FF00FF00FF00FF, 0xFF00FF00FF00FF00}, + {0x0000FFFF0000FFFF, 0xFFFF0000FFFF0000}, + {0x00000000FFFFFFFF, 0xFFFFFFFF00000000}, + } + copy(out[:], in[:]) + + for d := 5; d >= 0; d-- { + s := 1 << d + for i := 0; i < 64; i += s * 2 { + for j := i; j < i+s; j++ { + x := (out[j] & masks[d][0]) | ((out[j+s] & masks[d][0]) << s) + y := ((out[j] & masks[d][1]) >> s) | (out[j+s] & masks[d][1]) + + out[j+0] = x + out[j+s] = y + } + } + } +} + +func eval(f *[sysT + 1]gf, a gf) gf { + r := f[sysT] + for i := sysT - 1; i >= 0; i-- { + r = gf8192.Mul(r, a) + r = gf8192.Add(r, f[i]) + } + return r +} + +func root(out *[sysN]gf, f *[sysT + 1]gf, l *[sysN]gf) { + for i := 0; i < sysN; i++ { + out[i] = eval(f, l[i]) + } +} + +func shake256(output []byte, input []byte) error { + shake := sha3.NewShake256() + _, err := shake.Write(input) + if err != nil { + return err + } + _, err = shake.Read(output) + if err != nil { + return err + } + return nil +} + +func storeGf(dest []byte, a gf) { + dest[0] = byte(a & 0xFF) + dest[1] = byte(a >> 8) +} + +func loadGf(src []byte) gf { + a := uint16(src[1]) + a <<= 8 + a |= uint16(src[0]) + return a & gfMask +} + +func load4(in []byte) uint32 { + ret := uint32(in[3]) + for i := 2; i >= 0; i-- { + ret <<= 8 + ret |= uint32(in[i]) + } + return ret +} + +func store8(out []byte, in uint64) { + out[0] = byte((in >> 0x00) & 0xFF) + out[1] = byte((in >> 0x08) & 0xFF) + out[2] = byte((in >> 0x10) & 0xFF) + out[3] = byte((in >> 0x18) & 0xFF) + out[4] = byte((in >> 0x20) & 0xFF) + out[5] = byte((in >> 0x28) & 0xFF) + out[6] = byte((in >> 0x30) & 0xFF) + out[7] = byte((in >> 0x38) & 0xFF) +} + +func load8(in []byte) uint64 { + ret := uint64(in[7]) + for i := 6; i >= 0; i-- { + ret <<= 8 + ret |= uint64(in[i]) + } + return ret +} + +func bitRev(a gf) gf { + a = ((a & 0x00FF) << 8) | ((a & 0xFF00) >> 8) + a = ((a & 0x0F0F) << 4) | ((a & 0xF0F0) >> 4) + a = ((a & 0x3333) << 2) | ((a & 0xCCCC) >> 2) + a = ((a & 0x5555) << 1) | ((a & 0xAAAA) >> 1) + + return a >> unusedBits +} + +type scheme struct{} + +var sch kem.Scheme = &scheme{} + +// Scheme returns a KEM interface. +func Scheme() kem.Scheme { return sch } + +func (*scheme) Name() string { return "mceliece6960119" } +func (*scheme) PublicKeySize() int { return PublicKeySize } +func (*scheme) PrivateKeySize() int { return PrivateKeySize } +func (*scheme) SeedSize() int { return seedSize } +func (*scheme) SharedKeySize() int { return SharedKeySize } +func (*scheme) CiphertextSize() int { return CiphertextSize } +func (*scheme) EncapsulationSeedSize() int { return encapsulationSeedSize } + +func (sk *PrivateKey) Scheme() kem.Scheme { return sch } +func (pk *PublicKey) Scheme() kem.Scheme { return sch } + +func (sk *PrivateKey) MarshalBinary() ([]byte, error) { + var ret [PrivateKeySize]byte + copy(ret[:], sk.sk[:]) + return ret[:], nil +} + +// MarshalCompressedBinary returns a 32-byte seed that can be used to regenerate +// the key pair when passed to DeriveKeyPair +func (sk *PrivateKey) MarshalCompressedBinary() []byte { + seed := [32]byte{} + copy(seed[:], sk.sk[:32]) + return seed[:] +} + +func (sk *PrivateKey) Equal(other kem.PrivateKey) bool { + oth, ok := other.(*PrivateKey) + if !ok { + return false + } + return bytes.Equal(sk.sk[:], oth.sk[:]) +} + +func (pk *PublicKey) Equal(other kem.PublicKey) bool { + oth, ok := other.(*PublicKey) + if !ok { + return false + } + return bytes.Equal(pk.pk[:], oth.pk[:]) +} + +func (sk *PrivateKey) Public() kem.PublicKey { + pk, _ := sch.DeriveKeyPair(sk.MarshalCompressedBinary()) + return pk +} + +func (pk *PublicKey) MarshalBinary() ([]byte, error) { + var ret [PublicKeySize]byte + copy(ret[:], pk.pk[:]) + return ret[:], nil +} + +func (*scheme) GenerateKeyPair() (kem.PublicKey, kem.PrivateKey, error) { + seed := [32]byte{} + _, err := io.ReadFull(cryptoRand.Reader, seed[:]) + if err != nil { + return nil, nil, err + } + pk, sk := deriveKeyPair(seed[:]) + return pk, sk, nil +} + +func (*scheme) DeriveKeyPair(seed []byte) (kem.PublicKey, kem.PrivateKey) { + if len(seed) != seedSize { + panic("seed must be of length EncapsulationSeedSize") + } + return deriveKeyPair(seed) +} + +func encapsulate(pk kem.PublicKey, rand randFunc) (ct, ss []byte, err error) { + ppk, ok := pk.(*PublicKey) + if !ok { + return nil, nil, kem.ErrTypeMismatch + } + + ciphertext := [CiphertextSize]byte{} + sharedSecret := [SharedKeySize]byte{} + err = kemEncapsulate(&ciphertext, &sharedSecret, &ppk.pk, rand) + if err != nil { + return nil, nil, err + } + return ciphertext[:], sharedSecret[:], nil +} + +func (*scheme) Encapsulate(pk kem.PublicKey) (ct, ss []byte, err error) { + return encapsulate(pk, func(pool []byte) error { + _, err2 := io.ReadFull(cryptoRand.Reader, pool) + return err2 + }) +} + +func (*scheme) EncapsulateDeterministically(pk kem.PublicKey, seed []byte) (ct, ss []byte, err error) { + // This follow test standards + if len(seed) != encapsulationSeedSize { + return nil, nil, kem.ErrSeedSize + } + + entropy := [48]byte{} + waste := [32]byte{} + copy(entropy[:], seed) + dRng := nist.NewDRBG(&entropy) + dRng.Fill(waste[:]) + + return encapsulate(pk, func(pool []byte) error { + dRng.Fill(pool) + return nil + }) +} + +func (*scheme) Decapsulate(sk kem.PrivateKey, ct []byte) ([]byte, error) { + ssk, ok := sk.(*PrivateKey) + if !ok { + return nil, kem.ErrTypeMismatch + } + + if len(ct) != CiphertextSize { + return nil, kem.ErrCiphertextSize + } + ss := [SharedKeySize]byte{} + err := kemDecapsulate(&ss, (*[CiphertextSize]byte)(ct), &ssk.sk) + if err != nil { + return nil, err + } + return ss[:], nil +} + +func (*scheme) UnmarshalBinaryPublicKey(buf []byte) (kem.PublicKey, error) { + if len(buf) != PublicKeySize { + return nil, kem.ErrPubKeySize + } + pk := [PublicKeySize]byte{} + copy(pk[:], buf) + return &PublicKey{pk: pk}, nil +} + +func (*scheme) UnmarshalBinaryPrivateKey(buf []byte) (kem.PrivateKey, error) { + if len(buf) != PrivateKeySize { + return nil, kem.ErrPrivKeySize + } + sk := [PrivateKeySize]byte{} + copy(sk[:], buf) + return &PrivateKey{sk: sk}, nil +} diff --git a/kem/mceliece/mceliece6960119/operations.go b/kem/mceliece/mceliece6960119/operations.go new file mode 100644 index 000000000..422dd53c5 --- /dev/null +++ b/kem/mceliece/mceliece6960119/operations.go @@ -0,0 +1,137 @@ +// Code generated from operations_6960119.templ.go. DO NOT EDIT. + +package mceliece6960119 + +import "fmt" + +func checkPkPadding(pk *[PublicKeySize]byte) byte { + b := byte(0) + for i := 0; i < pkNRows; i++ { + b |= pk[i*pkRowBytes+pkRowBytes-1] + } + b >>= pkNCols % 8 + b -= 1 + b >>= 7 + return b - 1 +} + +func checkCPadding(c []byte) byte { + b := c[syndBytes-1] >> (pkNRows % 8) + b -= 1 + b >>= 7 + return b - 1 +} + +/* input: public key pk, error vector e */ +/* output: syndrome s */ +func syndrome(s []byte, pk []byte, e []byte) { + row := [sysN / 8]byte{} + pkSegment := pk + tail := pkNRows % 8 + for i := 0; i < syndBytes; i++ { + s[i] = 0 + } + for i := 0; i < pkNRows; i++ { + for j := 0; j < sysN/8; j++ { + row[j] = 0 + } + for j := 0; j < pkRowBytes; j++ { + row[sysN/8-pkRowBytes+j] = pkSegment[j] + } + for j := sysN/8 - 1; j >= sysN/8-pkRowBytes; j-- { + row[j] = (row[j] << tail) | (row[j-1] >> (8 - tail)) + } + row[i/8] |= 1 << (i % 8) + + b := byte(0) + for j := 0; j < sysN/8; j++ { + b ^= row[j] & e[j] + } + + b ^= b >> 4 + b ^= b >> 2 + b ^= b >> 1 + b &= 1 + + s[i/8] |= b << (i % 8) + + pkSegment = pkSegment[pkRowBytes:] + } +} + +func kemEncapsulate(c *[CiphertextSize]byte, key *[SharedKeySize]byte, pk *[PublicKeySize]byte, rand randFunc) error { + twoE := [1 + sysN/8]byte{2} + oneEC := [1 + sysN/8 + (syndBytes + 32)]byte{1} + paddingOk := checkPkPadding(pk) + err := encrypt(c[:], pk[:], twoE[1:1+sysN/8], rand) + if err != nil { + return err + } + err = shake256(c[syndBytes:syndBytes+32], twoE[:]) + if err != nil { + return err + } + copy(oneEC[1:1+(sysN/8)], twoE[1:(sysN/8)+1]) + copy(oneEC[1+(sysN/8):1+(sysN/8)+syndBytes+32], c[0:syndBytes+32]) + err = shake256(key[0:32], oneEC[:]) + if err != nil { + return err + } + + mask := paddingOk ^ 0xFF + for i := 0; i < syndBytes+32; i++ { + c[i] &= mask + } + for i := 0; i < 32; i++ { + key[i] &= mask + } + + if paddingOk == 0 { + return nil + } + return fmt.Errorf("public key padding error %d", paddingOk) +} + +func kemDecapsulate(key *[SharedKeySize]byte, c *[CiphertextSize]byte, sk *[PrivateKeySize]byte) error { + conf := [32]byte{} + twoE := [1 + sysN/8]byte{2} + e := twoE[1:] + preimage := [1 + sysN/8 + (syndBytes + 32)]byte{} + s := sk[40+irrBytes+condBytes:] + + paddingOk := checkCPadding(c[:]) + retDecrypt := decrypt((*[sysN / 8]byte)(e[:sysN/8]), sk[40:], (*[syndBytes]byte)(c[:syndBytes])) + err := shake256(conf[0:32], twoE[:]) + if err != nil { + return err + } + + var retConfirm byte + for i := 0; i < 32; i++ { + retConfirm |= conf[i] ^ c[syndBytes+i] + } + + m := retDecrypt | uint16(retConfirm) + m -= 1 + m >>= 8 + + preimage[0] = byte(m & 1) + for i := 0; i < sysN/8; i++ { + preimage[1+i] = (byte(^m) & s[i]) | (byte(m) & twoE[1+i]) + } + copy(preimage[1+(sysN/8):][0:syndBytes+32], c[0:syndBytes+32]) + err = shake256(key[0:32], preimage[:]) + if err != nil { + return err + } + + mask := paddingOk + for i := 0; i < 32; i++ { + key[i] |= mask + } + + if paddingOk == 0 { + return nil + } + return fmt.Errorf("public key padding error %d", paddingOk) +} diff --git a/kem/mceliece/mceliece6960119/pk_gen.go b/kem/mceliece/mceliece6960119/pk_gen.go new file mode 100644 index 000000000..f18ae8fa3 --- /dev/null +++ b/kem/mceliece/mceliece6960119/pk_gen.go @@ -0,0 +1,132 @@ +// Code generated from pk_gen.templ.go. DO NOT EDIT. + +package mceliece6960119 + +import ( + "github.com/cloudflare/circl/kem/mceliece/internal" + "github.com/cloudflare/circl/math/gf8192" +) + +// nolint:unparam +func pkGen(pk *[pkNRows * pkRowBytes]byte, sk []byte, perm *[1 << gfBits]uint32, pi *[1 << gfBits]int16, pivots *uint64) bool { + buf := [1 << gfBits]uint64{} + mat := [pkNRows][sysN / 8]byte{} + g := [sysT + 1]gf{} + L := [sysN]gf{} + inv := [sysN]gf{} + + g[sysT] = 1 + for i := 0; i < sysT; i++ { + g[i] = loadGf(sk) + sk = sk[2:] + } + + for i := 0; i < 1<> 31) == (buf[i] >> 31) { + return false + } + } + + for i := 0; i < (1 << gfBits); i++ { + pi[i] = int16(buf[i] & gfMask) + } + + for i := 0; i < sysN; i++ { + L[i] = bitRev(gf(pi[i])) + } + + // filling the matrix + root(&inv, &g, &L) + + for i := 0; i < sysN; i++ { + inv[i] = gf8192.Inv(inv[i]) + } + + for i := 0; i < sysT; i++ { + for j := 0; j < sysN; j += 8 { + for k := 0; k < gfBits; k++ { + b := byte(inv[j+7]>>k) & 1 + b <<= 1 + b |= byte(inv[j+6]>>k) & 1 + b <<= 1 + b |= byte(inv[j+5]>>k) & 1 + b <<= 1 + b |= byte(inv[j+4]>>k) & 1 + b <<= 1 + b |= byte(inv[j+3]>>k) & 1 + b <<= 1 + b |= byte(inv[j+2]>>k) & 1 + b <<= 1 + b |= byte(inv[j+1]>>k) & 1 + b <<= 1 + b |= byte(inv[j+0]>>k) & 1 + + mat[i*gfBits+k][j/8] = b + } + } + + for j := 0; j < sysN; j++ { + inv[j] = gf8192.Mul(inv[j], L[j]) + } + } + + // gaussian elimination + for i := 0; i < (pkNRows+7)/8; i++ { + for j := 0; j < 8; j++ { + row := i*8 + j + + if row >= pkNRows { + break + } + + for k := row + 1; k < pkNRows; k++ { + mask := mat[row][i] ^ mat[k][i] + mask >>= j + mask &= 1 + mask = -mask + + for c := 0; c < sysN/8; c++ { + mat[row][c] ^= mat[k][c] & mask + } + } + + // return if not systematic + if ((mat[row][i] >> j) & 1) == 0 { + return false + } + + for k := 0; k < pkNRows; k++ { + if k != row { + mask := mat[k][i] >> j + mask &= 1 + mask = -mask + + for c := 0; c < sysN/8; c++ { + mat[k][c] ^= mat[row][c] & mask + } + } + } + } + } + + tail := pkNRows % 8 + const innerPkAccesses = ((sysN/8 - 1) - (pkNRows-1)/8) + 1 + for i := 0; i < pkNRows; i++ { + idx := 0 + for j := (pkNRows - 1) / 8; j < sysN/8-1; j++ { + pk[i*innerPkAccesses+idx] = (mat[i][j] >> tail) | (mat[i][j+1] << (8 - tail)) + idx++ + } + pk[(i+1)*innerPkAccesses-1] = mat[i][sysN/8-1] >> tail + } + + return true +} diff --git a/kem/mceliece/mceliece6960119f/benes.go b/kem/mceliece/mceliece6960119f/benes.go new file mode 100644 index 000000000..2e6ec8eb3 --- /dev/null +++ b/kem/mceliece/mceliece6960119f/benes.go @@ -0,0 +1,121 @@ +// Code generated from benes_other.templ.go. DO NOT EDIT. + +package mceliece6960119f + +func layerIn(data *[2][64]uint64, bits *[64]uint64, lgs int) { + s := 1 << lgs + index := 0 + for i := 0; i < 64; i += s * 2 { + for j := i; j < i+s; j++ { + d := data[0][j+0] ^ data[0][j+s] + d &= bits[index] + data[0][j+0] ^= d + data[0][j+s] ^= d + index += 1 + + d = data[1][j+0] ^ data[1][j+s] + d &= bits[index] + data[1][j+0] ^= d + data[1][j+s] ^= d + index += 1 + } + } +} + +func layerEx(data *[2][64]uint64, bits *[64]uint64, lgs int) { + data0Idx := 0 + data1Idx := 32 + s := 1 << lgs + if s == 64 { + for j := 0; j < 64; j++ { + d := data[0][j+0] ^ data[1][j] + d &= bits[data0Idx] + data0Idx += 1 + data[0][j+0] ^= d + data[1][j] ^= d + } + } else { + for i := 0; i < 64; i += s * 2 { + for j := i; j < i+s; j++ { + d := data[0][j+0] ^ data[0][j+s] + d &= bits[data0Idx] + data0Idx += 1 + + data[0][j+0] ^= d + data[0][j+s] ^= d + + // data[1] computations + d = data[1][j+0] ^ data[1][j+s] + d &= bits[data1Idx] + data1Idx += 1 + + data[1][j+0] ^= d + data[1][j+s] ^= d + } + } + } +} + +func applyBenes(r *[1024]byte, bits *[condBytes]byte) { + rIntV := [2][64]uint64{} + rIntH := [2][64]uint64{} + bIntV := [64]uint64{} + bIntH := [64]uint64{} + bitsPtr := bits[:] + + for i := 0; i < 64; i++ { + rIntV[0][i] = load8(r[i*16:]) + rIntV[1][i] = load8(r[i*16+8:]) + } + + transpose64x64(&rIntH[0], &rIntV[0]) + transpose64x64(&rIntH[1], &rIntV[1]) + + for iter := 0; iter <= 6; iter++ { + for i := 0; i < 64; i++ { + bIntV[i] = load8(bitsPtr) + bitsPtr = bitsPtr[8:] + } + transpose64x64(&bIntH, &bIntV) + layerEx(&rIntH, &bIntH, iter) + } + + transpose64x64(&rIntV[0], &rIntH[0]) + transpose64x64(&rIntV[1], &rIntH[1]) + + for iter := 0; iter <= 5; iter++ { + for i := 0; i < 64; i++ { + bIntV[i] = load8(bitsPtr) + bitsPtr = bitsPtr[8:] + } + layerIn(&rIntV, &bIntV, iter) + } + + for iter := 4; iter >= 0; iter-- { + for i := 0; i < 64; i++ { + bIntV[i] = load8(bitsPtr) + bitsPtr = bitsPtr[8:] + } + layerIn(&rIntV, &bIntV, iter) + } + + transpose64x64(&rIntH[0], &rIntV[0]) + transpose64x64(&rIntH[1], &rIntV[1]) + + for iter := 6; iter >= 0; iter-- { + for i := 0; i < 64; i++ { + bIntV[i] = load8(bitsPtr) + bitsPtr = bitsPtr[8:] + } + transpose64x64(&bIntH, &bIntV) + layerEx(&rIntH, &bIntH, iter) + } + + transpose64x64(&rIntV[0], &rIntH[0]) + transpose64x64(&rIntV[1], &rIntH[1]) + + for i := 0; i < 64; i++ { + store8(r[i*16+0:], rIntV[0][i]) + store8(r[i*16+8:], rIntV[1][i]) + } +} diff --git a/kem/mceliece/mceliece6960119f/mceliece.go b/kem/mceliece/mceliece6960119f/mceliece.go new file mode 100644 index 000000000..59e195a37 --- /dev/null +++ b/kem/mceliece/mceliece6960119f/mceliece.go @@ -0,0 +1,665 @@ +// Code generated from mceliece.templ.go. DO NOT EDIT. + +package mceliece6960119f + +import ( + "bytes" + cryptoRand "crypto/rand" + "io" + + "github.com/cloudflare/circl/internal/nist" + "github.com/cloudflare/circl/internal/sha3" + "github.com/cloudflare/circl/kem" + "github.com/cloudflare/circl/kem/mceliece/internal" + "github.com/cloudflare/circl/math/gf8192" +) + +const ( + sysT = 119 // F(y) is 64 degree + gfBits = gf8192.GfBits + gfMask = gf8192.GfMask + unusedBits = 16 - gfBits + sysN = 6960 + condBytes = (1 << (gfBits - 4)) * (2*gfBits - 1) + irrBytes = sysT * 2 + pkNRows = sysT * gfBits + pkNCols = sysN - pkNRows + pkRowBytes = (pkNCols + 7) / 8 + syndBytes = (pkNRows + 7) / 8 + PublicKeySize = 1047319 + PrivateKeySize = 13948 + CiphertextSize = 226 + SharedKeySize = 32 + seedSize = 32 + encapsulationSeedSize = 48 +) + +type PublicKey struct { + pk [PublicKeySize]byte +} + +type PrivateKey struct { + sk [PrivateKeySize]byte +} + +type ( + gf = gf8192.Gf + randFunc = func(pool []byte) error +) + +func deriveKeyPair(entropy []byte) (*PublicKey, *PrivateKey) { + const ( + irrPolys = sysN/8 + (1<>3) + e[i] |= val[j] & mask + } + } + return nil +} + +func sameMask(x uint16, y uint16) byte { + mask := uint32(x ^ y) + mask -= 1 + mask >>= 31 + mask = -mask + + return byte(mask & 0xFF) +} + +func supportGen(s *[sysN]gf, c *[condBytes]byte) { + L := [gfBits][(1 << gfBits) / 8]byte{} + for i := 0; i < (1 << gfBits); i++ { + a := bitRev(gf(i)) + for j := 0; j < gfBits; j++ { + L[j][i/8] |= byte(((a >> j) & 1) << (i % 8)) + } + } + for j := 0; j < gfBits; j++ { + applyBenes(&L[j], c) + } + for i := 0; i < sysN; i++ { + s[i] = 0 + for j := gfBits - 1; j >= 0; j-- { + s[i] <<= 1 + s[i] |= uint16(L[j][i/8]>>(i%8)) & 1 + } + } +} + +func synd(out *[sysT * 2]gf, f *[sysT + 1]gf, L *[sysN]gf, r *[sysN / 8]byte) { + for j := 0; j < 2*sysT; j++ { + out[j] = 0 + } + + for i := 0; i < sysN; i++ { + c := uint16(r[i/8]>>(i%8)) & 1 + e := eval(f, L[i]) + eInv := gf8192.Inv(gf8192.Mul(e, e)) + for j := 0; j < 2*sysT; j++ { + out[j] = gf8192.Add(out[j], gf8192.Mul(eInv, c)) + eInv = gf8192.Mul(eInv, L[i]) + } + } +} + +func min(a, b int) int { + if a > b { + return b + } + return a +} + +func bm(out *[sysT + 1]gf, s *[2 * sysT]gf) { + var L, mle, mne uint16 + T := [sysT + 1]gf{} + C := [sysT + 1]gf{} + B := [sysT + 1]gf{} + var b, d, f gf + b = 1 + B[1] = 1 + C[0] = 1 + for N := 0; N < 2*sysT; N++ { + d = 0 + for i := 0; i <= min(N, sysT); i++ { + d ^= gf8192.Mul(C[i], s[N-i]) + } + mne = d + mne -= 1 + mne >>= 15 + mne -= 1 + mle = uint16(N) + mle -= 2 * L + mle >>= 15 + mle -= 1 + mle &= mne + for i := 0; i <= sysT; i++ { + T[i] = C[i] + } + f = gf8192.Div(d, b) + for i := 0; i <= sysT; i++ { + C[i] ^= gf8192.Mul(f, B[i]) & mne + } + L = (L & ^mle) | ((uint16(N) + 1 - L) & mle) + + for i := 0; i <= sysT; i++ { + B[i] = (B[i] & ^mle) | (T[i] & mle) + } + + b = (b & ^mle) | (d & mle) + + for i := sysT; i >= 1; i-- { + B[i] = B[i-1] + } + B[0] = 0 + } + + for i := 0; i <= sysT; i++ { + out[i] = C[sysT-i] + } +} + +func decrypt(e *[sysN / 8]byte, sk []byte, c *[syndBytes]byte) uint16 { + var check uint16 + w := 0 + r := [sysN / 8]byte{} + + g := [sysT + 1]gf{} + L := [sysN]gf{} + + s := [sysT * 2]gf{} + sCmp := [sysT * 2]gf{} + locator := [sysT + 1]gf{} + images := [sysN]gf{} + + copy(r[:syndBytes], c[:syndBytes]) + for i := 0; i < sysT; i++ { + g[i] = loadGf(sk) + sk = sk[2:] + } + g[sysT] = 1 + + supportGen(&L, (*[condBytes]byte)(sk[:condBytes])) + + synd(&s, &g, &L, &r) + bm(&locator, &s) + root(&images, &locator, &L) + + for i := 0; i < sysN/8; i++ { + e[i] = 0 + } + for i := 0; i < sysN; i++ { + t := isZeroMask(images[i]) & 1 + + e[i/8] |= byte(t << (i % 8)) + w += int(t) + } + + synd(&sCmp, &g, &L, e) + check = uint16(w) ^ sysT + for i := 0; i < sysT*2; i++ { + check |= s[i] ^ sCmp[i] + } + + check -= 1 + check >>= 15 + + return check ^ 1 +} + +// check if element is 0, returns a mask with all bits set if so, and 0 otherwise +func isZeroMask(element gf) uint16 { + t := uint32(element) - 1 + t >>= 19 + return uint16(t) +} + +// calculate the minimal polynomial of f and store it in out +func minimalPolynomial(out *[sysT]gf, f *[sysT]gf) bool { + mat := [sysT + 1][sysT]gf{} + mat[0][0] = 1 + for i := 1; i < sysT; i++ { + mat[0][i] = 0 + } + + for i := 0; i < sysT; i++ { + mat[1][i] = f[i] + } + + for i := 2; i <= sysT; i++ { + polyMul(&mat[i], &mat[i-1], f) + } + + for j := 0; j < sysT; j++ { + for k := j + 1; k < sysT; k++ { + mask := isZeroMask(mat[j][j]) + // if mat[j][j] is not zero, add mat[c..sysT+1][k] to mat[c][j] + // do nothing otherwise + for c := j; c <= sysT; c++ { + mat[c][j] ^= mat[c][k] & mask + } + } + + if mat[j][j] == 0 { + return false + } + + inv := gf8192.Inv(mat[j][j]) + for c := 0; c <= sysT; c++ { + mat[c][j] = gf8192.Mul(mat[c][j], inv) + } + + for k := 0; k < sysT; k++ { + if k != j { + t := mat[j][k] + for c := 0; c <= sysT; c++ { + mat[c][k] ^= gf8192.Mul(mat[c][j], t) + } + } + } + } + + for i := 0; i < sysT; i++ { + out[i] = mat[sysT][i] + } + + return true +} + +// calculate the product of a and b in Fq^t +func polyMul(out *[sysT]gf, a *[sysT]gf, b *[sysT]gf) { + product := [sysT*2 - 1]gf{} + for i := 0; i < sysT; i++ { + for j := 0; j < sysT; j++ { + product[i+j] ^= gf8192.Mul(a[i], b[j]) + } + } + + for i := (sysT - 1) * 2; i >= sysT; i-- { + // polynomial reduction + + product[i-sysT+8] ^= product[i] + product[i-sysT+0] ^= product[i] + + } + + for i := 0; i < sysT; i++ { + out[i] = product[i] + } +} + +func transpose64x64(out, in *[64]uint64) { + masks := [6][2]uint64{ + {0x5555555555555555, 0xAAAAAAAAAAAAAAAA}, + {0x3333333333333333, 0xCCCCCCCCCCCCCCCC}, + {0x0F0F0F0F0F0F0F0F, 0xF0F0F0F0F0F0F0F0}, + {0x00FF00FF00FF00FF, 0xFF00FF00FF00FF00}, + {0x0000FFFF0000FFFF, 0xFFFF0000FFFF0000}, + {0x00000000FFFFFFFF, 0xFFFFFFFF00000000}, + } + copy(out[:], in[:]) + + for d := 5; d >= 0; d-- { + s := 1 << d + for i := 0; i < 64; i += s * 2 { + for j := i; j < i+s; j++ { + x := (out[j] & masks[d][0]) | ((out[j+s] & masks[d][0]) << s) + y := ((out[j] & masks[d][1]) >> s) | (out[j+s] & masks[d][1]) + + out[j+0] = x + out[j+s] = y + } + } + } +} + +func eval(f *[sysT + 1]gf, a gf) gf { + r := f[sysT] + for i := sysT - 1; i >= 0; i-- { + r = gf8192.Mul(r, a) + r = gf8192.Add(r, f[i]) + } + return r +} + +func root(out *[sysN]gf, f *[sysT + 1]gf, l *[sysN]gf) { + for i := 0; i < sysN; i++ { + out[i] = eval(f, l[i]) + } +} + +func shake256(output []byte, input []byte) error { + shake := sha3.NewShake256() + _, err := shake.Write(input) + if err != nil { + return err + } + _, err = shake.Read(output) + if err != nil { + return err + } + return nil +} + +func storeGf(dest []byte, a gf) { + dest[0] = byte(a & 0xFF) + dest[1] = byte(a >> 8) +} + +func loadGf(src []byte) gf { + a := uint16(src[1]) + a <<= 8 + a |= uint16(src[0]) + return a & gfMask +} + +func load4(in []byte) uint32 { + ret := uint32(in[3]) + for i := 2; i >= 0; i-- { + ret <<= 8 + ret |= uint32(in[i]) + } + return ret +} + +func store8(out []byte, in uint64) { + out[0] = byte((in >> 0x00) & 0xFF) + out[1] = byte((in >> 0x08) & 0xFF) + out[2] = byte((in >> 0x10) & 0xFF) + out[3] = byte((in >> 0x18) & 0xFF) + out[4] = byte((in >> 0x20) & 0xFF) + out[5] = byte((in >> 0x28) & 0xFF) + out[6] = byte((in >> 0x30) & 0xFF) + out[7] = byte((in >> 0x38) & 0xFF) +} + +func load8(in []byte) uint64 { + ret := uint64(in[7]) + for i := 6; i >= 0; i-- { + ret <<= 8 + ret |= uint64(in[i]) + } + return ret +} + +func bitRev(a gf) gf { + a = ((a & 0x00FF) << 8) | ((a & 0xFF00) >> 8) + a = ((a & 0x0F0F) << 4) | ((a & 0xF0F0) >> 4) + a = ((a & 0x3333) << 2) | ((a & 0xCCCC) >> 2) + a = ((a & 0x5555) << 1) | ((a & 0xAAAA) >> 1) + + return a >> unusedBits +} + +type scheme struct{} + +var sch kem.Scheme = &scheme{} + +// Scheme returns a KEM interface. +func Scheme() kem.Scheme { return sch } + +func (*scheme) Name() string { return "mceliece6960119f" } +func (*scheme) PublicKeySize() int { return PublicKeySize } +func (*scheme) PrivateKeySize() int { return PrivateKeySize } +func (*scheme) SeedSize() int { return seedSize } +func (*scheme) SharedKeySize() int { return SharedKeySize } +func (*scheme) CiphertextSize() int { return CiphertextSize } +func (*scheme) EncapsulationSeedSize() int { return encapsulationSeedSize } + +func (sk *PrivateKey) Scheme() kem.Scheme { return sch } +func (pk *PublicKey) Scheme() kem.Scheme { return sch } + +func (sk *PrivateKey) MarshalBinary() ([]byte, error) { + var ret [PrivateKeySize]byte + copy(ret[:], sk.sk[:]) + return ret[:], nil +} + +// MarshalCompressedBinary returns a 32-byte seed that can be used to regenerate +// the key pair when passed to DeriveKeyPair +func (sk *PrivateKey) MarshalCompressedBinary() []byte { + seed := [32]byte{} + copy(seed[:], sk.sk[:32]) + return seed[:] +} + +func (sk *PrivateKey) Equal(other kem.PrivateKey) bool { + oth, ok := other.(*PrivateKey) + if !ok { + return false + } + return bytes.Equal(sk.sk[:], oth.sk[:]) +} + +func (pk *PublicKey) Equal(other kem.PublicKey) bool { + oth, ok := other.(*PublicKey) + if !ok { + return false + } + return bytes.Equal(pk.pk[:], oth.pk[:]) +} + +func (sk *PrivateKey) Public() kem.PublicKey { + pk, _ := sch.DeriveKeyPair(sk.MarshalCompressedBinary()) + return pk +} + +func (pk *PublicKey) MarshalBinary() ([]byte, error) { + var ret [PublicKeySize]byte + copy(ret[:], pk.pk[:]) + return ret[:], nil +} + +func (*scheme) GenerateKeyPair() (kem.PublicKey, kem.PrivateKey, error) { + seed := [32]byte{} + _, err := io.ReadFull(cryptoRand.Reader, seed[:]) + if err != nil { + return nil, nil, err + } + pk, sk := deriveKeyPair(seed[:]) + return pk, sk, nil +} + +func (*scheme) DeriveKeyPair(seed []byte) (kem.PublicKey, kem.PrivateKey) { + if len(seed) != seedSize { + panic("seed must be of length EncapsulationSeedSize") + } + return deriveKeyPair(seed) +} + +func encapsulate(pk kem.PublicKey, rand randFunc) (ct, ss []byte, err error) { + ppk, ok := pk.(*PublicKey) + if !ok { + return nil, nil, kem.ErrTypeMismatch + } + + ciphertext := [CiphertextSize]byte{} + sharedSecret := [SharedKeySize]byte{} + err = kemEncapsulate(&ciphertext, &sharedSecret, &ppk.pk, rand) + if err != nil { + return nil, nil, err + } + return ciphertext[:], sharedSecret[:], nil +} + +func (*scheme) Encapsulate(pk kem.PublicKey) (ct, ss []byte, err error) { + return encapsulate(pk, func(pool []byte) error { + _, err2 := io.ReadFull(cryptoRand.Reader, pool) + return err2 + }) +} + +func (*scheme) EncapsulateDeterministically(pk kem.PublicKey, seed []byte) (ct, ss []byte, err error) { + // This follow test standards + if len(seed) != encapsulationSeedSize { + return nil, nil, kem.ErrSeedSize + } + + entropy := [48]byte{} + waste := [32]byte{} + copy(entropy[:], seed) + dRng := nist.NewDRBG(&entropy) + dRng.Fill(waste[:]) + + return encapsulate(pk, func(pool []byte) error { + dRng.Fill(pool) + return nil + }) +} + +func (*scheme) Decapsulate(sk kem.PrivateKey, ct []byte) ([]byte, error) { + ssk, ok := sk.(*PrivateKey) + if !ok { + return nil, kem.ErrTypeMismatch + } + + if len(ct) != CiphertextSize { + return nil, kem.ErrCiphertextSize + } + ss := [SharedKeySize]byte{} + err := kemDecapsulate(&ss, (*[CiphertextSize]byte)(ct), &ssk.sk) + if err != nil { + return nil, err + } + return ss[:], nil +} + +func (*scheme) UnmarshalBinaryPublicKey(buf []byte) (kem.PublicKey, error) { + if len(buf) != PublicKeySize { + return nil, kem.ErrPubKeySize + } + pk := [PublicKeySize]byte{} + copy(pk[:], buf) + return &PublicKey{pk: pk}, nil +} + +func (*scheme) UnmarshalBinaryPrivateKey(buf []byte) (kem.PrivateKey, error) { + if len(buf) != PrivateKeySize { + return nil, kem.ErrPrivKeySize + } + sk := [PrivateKeySize]byte{} + copy(sk[:], buf) + return &PrivateKey{sk: sk}, nil +} diff --git a/kem/mceliece/mceliece6960119f/operations.go b/kem/mceliece/mceliece6960119f/operations.go new file mode 100644 index 000000000..289422181 --- /dev/null +++ b/kem/mceliece/mceliece6960119f/operations.go @@ -0,0 +1,137 @@ +// Code generated from operations_6960119.templ.go. DO NOT EDIT. + +package mceliece6960119f + +import "fmt" + +func checkPkPadding(pk *[PublicKeySize]byte) byte { + b := byte(0) + for i := 0; i < pkNRows; i++ { + b |= pk[i*pkRowBytes+pkRowBytes-1] + } + b >>= pkNCols % 8 + b -= 1 + b >>= 7 + return b - 1 +} + +func checkCPadding(c []byte) byte { + b := c[syndBytes-1] >> (pkNRows % 8) + b -= 1 + b >>= 7 + return b - 1 +} + +/* input: public key pk, error vector e */ +/* output: syndrome s */ +func syndrome(s []byte, pk []byte, e []byte) { + row := [sysN / 8]byte{} + pkSegment := pk + tail := pkNRows % 8 + for i := 0; i < syndBytes; i++ { + s[i] = 0 + } + for i := 0; i < pkNRows; i++ { + for j := 0; j < sysN/8; j++ { + row[j] = 0 + } + for j := 0; j < pkRowBytes; j++ { + row[sysN/8-pkRowBytes+j] = pkSegment[j] + } + for j := sysN/8 - 1; j >= sysN/8-pkRowBytes; j-- { + row[j] = (row[j] << tail) | (row[j-1] >> (8 - tail)) + } + row[i/8] |= 1 << (i % 8) + + b := byte(0) + for j := 0; j < sysN/8; j++ { + b ^= row[j] & e[j] + } + + b ^= b >> 4 + b ^= b >> 2 + b ^= b >> 1 + b &= 1 + + s[i/8] |= b << (i % 8) + + pkSegment = pkSegment[pkRowBytes:] + } +} + +func kemEncapsulate(c *[CiphertextSize]byte, key *[SharedKeySize]byte, pk *[PublicKeySize]byte, rand randFunc) error { + twoE := [1 + sysN/8]byte{2} + oneEC := [1 + sysN/8 + (syndBytes + 32)]byte{1} + paddingOk := checkPkPadding(pk) + err := encrypt(c[:], pk[:], twoE[1:1+sysN/8], rand) + if err != nil { + return err + } + err = shake256(c[syndBytes:syndBytes+32], twoE[:]) + if err != nil { + return err + } + copy(oneEC[1:1+(sysN/8)], twoE[1:(sysN/8)+1]) + copy(oneEC[1+(sysN/8):1+(sysN/8)+syndBytes+32], c[0:syndBytes+32]) + err = shake256(key[0:32], oneEC[:]) + if err != nil { + return err + } + + mask := paddingOk ^ 0xFF + for i := 0; i < syndBytes+32; i++ { + c[i] &= mask + } + for i := 0; i < 32; i++ { + key[i] &= mask + } + + if paddingOk == 0 { + return nil + } + return fmt.Errorf("public key padding error %d", paddingOk) +} + +func kemDecapsulate(key *[SharedKeySize]byte, c *[CiphertextSize]byte, sk *[PrivateKeySize]byte) error { + conf := [32]byte{} + twoE := [1 + sysN/8]byte{2} + e := twoE[1:] + preimage := [1 + sysN/8 + (syndBytes + 32)]byte{} + s := sk[40+irrBytes+condBytes:] + + paddingOk := checkCPadding(c[:]) + retDecrypt := decrypt((*[sysN / 8]byte)(e[:sysN/8]), sk[40:], (*[syndBytes]byte)(c[:syndBytes])) + err := shake256(conf[0:32], twoE[:]) + if err != nil { + return err + } + + var retConfirm byte + for i := 0; i < 32; i++ { + retConfirm |= conf[i] ^ c[syndBytes+i] + } + + m := retDecrypt | uint16(retConfirm) + m -= 1 + m >>= 8 + + preimage[0] = byte(m & 1) + for i := 0; i < sysN/8; i++ { + preimage[1+i] = (byte(^m) & s[i]) | (byte(m) & twoE[1+i]) + } + copy(preimage[1+(sysN/8):][0:syndBytes+32], c[0:syndBytes+32]) + err = shake256(key[0:32], preimage[:]) + if err != nil { + return err + } + + mask := paddingOk + for i := 0; i < 32; i++ { + key[i] |= mask + } + + if paddingOk == 0 { + return nil + } + return fmt.Errorf("public key padding error %d", paddingOk) +} diff --git a/kem/mceliece/mceliece6960119f/pk_gen.go b/kem/mceliece/mceliece6960119f/pk_gen.go new file mode 100644 index 000000000..6a4be503b --- /dev/null +++ b/kem/mceliece/mceliece6960119f/pk_gen.go @@ -0,0 +1,247 @@ +// Code generated from pk_gen.templ.go. DO NOT EDIT. + +package mceliece6960119f + +import ( + "github.com/cloudflare/circl/kem/mceliece/internal" + "github.com/cloudflare/circl/math/gf8192" +) + +func ctz(in uint64) int { + m := 0 + r := 0 + for i := 0; i < 64; i++ { + b := int((in >> i) & 1) + m |= b + r += (m ^ 1) & (b ^ 1) + } + return r +} + +func sameMask64(x, y uint16) uint64 { + mask := uint64(x ^ y) + mask -= 1 + mask >>= 63 + mask = -mask + return mask +} + +func movColumns(mat *[pkNRows][sysN / 8]byte, pi []int16, pivots *uint64) bool { + buf := [64]uint64{} + ctzList := [32]uint64{} + row := pkNRows - 32 + blockIdx := row / 8 + + // extract the 32x64 matrix + + tail := row % 8 + tmp := [9]byte{} + for i := 0; i < 32; i++ { + for j := 0; j < 9; j++ { + tmp[j] = mat[row+i][blockIdx+j] + } + for j := 0; j < 8; j++ { + tmp[j] = (tmp[j] >> tail) | (tmp[j+1] << (8 - tail)) + } + buf[i] = load8(tmp[:]) + } + + // compute the column indices of pivots by Gaussian elimination. + // the indices are stored in ctz_list + + *pivots = 0 + + for i := 0; i < 32; i++ { + t := buf[i] + for j := i + 1; j < 32; j++ { + t |= buf[j] + } + if t == 0 { + return false // return if buf is not full rank + } + s := ctz(t) + ctzList[i] = uint64(s) + *pivots |= 1 << s + + for j := i + 1; j < 32; j++ { + mask := (buf[i] >> s) & 1 + mask -= 1 + buf[i] ^= buf[j] & mask + } + for j := i + 1; j < 32; j++ { + mask := (buf[j] >> s) & 1 + mask = -mask + buf[j] ^= buf[i] & mask + } + } + + // updating permutation + for j := 0; j < 32; j++ { + for k := j + 1; k < 64; k++ { + d := uint64(pi[row+j] ^ pi[row+k]) + d &= sameMask64(uint16(k), uint16(ctzList[j])) + pi[row+j] ^= int16(d) + pi[row+k] ^= int16(d) + } + } + + // moving columns of mat according to the column indices of pivots + for i := 0; i < pkNRows; i++ { + + for k := 0; k < 9; k++ { + tmp[k] = mat[i][blockIdx+k] + } + for k := 0; k < 8; k++ { + tmp[k] = (tmp[k] >> tail) | (tmp[k+1] << (8 - tail)) + } + t := load8(tmp[:]) + for j := 0; j < 32; j++ { + d := t >> j + d ^= t >> ctzList[j] + d &= 1 + t ^= d << ctzList[j] + t ^= d << j + } + store8(tmp[:], t) + + mat[i][blockIdx+8] = (mat[i][blockIdx+8] >> tail << tail) | (tmp[7] >> (8 - tail)) + mat[i][blockIdx+0] = (tmp[0] << tail) | (mat[i][blockIdx] << (8 - tail) >> (8 - tail)) + + for k := 7; k >= 1; k-- { + mat[i][blockIdx+k] = (tmp[k] << tail) | (tmp[k-1] >> (8 - tail)) + } + + } + + return true +} + +// nolint:unparam +func pkGen(pk *[pkNRows * pkRowBytes]byte, sk []byte, perm *[1 << gfBits]uint32, pi *[1 << gfBits]int16, pivots *uint64) bool { + buf := [1 << gfBits]uint64{} + mat := [pkNRows][sysN / 8]byte{} + g := [sysT + 1]gf{} + L := [sysN]gf{} + inv := [sysN]gf{} + + g[sysT] = 1 + for i := 0; i < sysT; i++ { + g[i] = loadGf(sk) + sk = sk[2:] + } + + for i := 0; i < 1<> 31) == (buf[i] >> 31) { + return false + } + } + + for i := 0; i < (1 << gfBits); i++ { + pi[i] = int16(buf[i] & gfMask) + } + + for i := 0; i < sysN; i++ { + L[i] = bitRev(gf(pi[i])) + } + + // filling the matrix + root(&inv, &g, &L) + + for i := 0; i < sysN; i++ { + inv[i] = gf8192.Inv(inv[i]) + } + + for i := 0; i < sysT; i++ { + for j := 0; j < sysN; j += 8 { + for k := 0; k < gfBits; k++ { + b := byte(inv[j+7]>>k) & 1 + b <<= 1 + b |= byte(inv[j+6]>>k) & 1 + b <<= 1 + b |= byte(inv[j+5]>>k) & 1 + b <<= 1 + b |= byte(inv[j+4]>>k) & 1 + b <<= 1 + b |= byte(inv[j+3]>>k) & 1 + b <<= 1 + b |= byte(inv[j+2]>>k) & 1 + b <<= 1 + b |= byte(inv[j+1]>>k) & 1 + b <<= 1 + b |= byte(inv[j+0]>>k) & 1 + + mat[i*gfBits+k][j/8] = b + } + } + + for j := 0; j < sysN; j++ { + inv[j] = gf8192.Mul(inv[j], L[j]) + } + } + + // gaussian elimination + for i := 0; i < (pkNRows+7)/8; i++ { + for j := 0; j < 8; j++ { + row := i*8 + j + + if row >= pkNRows { + break + } + + if row == pkNRows-32 { + if !movColumns(&mat, pi[:], pivots) { + return false + } + } + + for k := row + 1; k < pkNRows; k++ { + mask := mat[row][i] ^ mat[k][i] + mask >>= j + mask &= 1 + mask = -mask + + for c := 0; c < sysN/8; c++ { + mat[row][c] ^= mat[k][c] & mask + } + } + + // return if not systematic + if ((mat[row][i] >> j) & 1) == 0 { + return false + } + + for k := 0; k < pkNRows; k++ { + if k != row { + mask := mat[k][i] >> j + mask &= 1 + mask = -mask + + for c := 0; c < sysN/8; c++ { + mat[k][c] ^= mat[row][c] & mask + } + } + } + } + } + + tail := pkNRows % 8 + const innerPkAccesses = ((sysN/8 - 1) - (pkNRows-1)/8) + 1 + for i := 0; i < pkNRows; i++ { + idx := 0 + for j := (pkNRows - 1) / 8; j < sysN/8-1; j++ { + pk[i*innerPkAccesses+idx] = (mat[i][j] >> tail) | (mat[i][j+1] << (8 - tail)) + idx++ + } + pk[(i+1)*innerPkAccesses-1] = mat[i][sysN/8-1] >> tail + } + + return true +} diff --git a/kem/mceliece/mceliece8192128/benes.go b/kem/mceliece/mceliece8192128/benes.go new file mode 100644 index 000000000..897653198 --- /dev/null +++ b/kem/mceliece/mceliece8192128/benes.go @@ -0,0 +1,121 @@ +// Code generated from benes_other.templ.go. DO NOT EDIT. + +package mceliece8192128 + +func layerIn(data *[2][64]uint64, bits *[64]uint64, lgs int) { + s := 1 << lgs + index := 0 + for i := 0; i < 64; i += s * 2 { + for j := i; j < i+s; j++ { + d := data[0][j+0] ^ data[0][j+s] + d &= bits[index] + data[0][j+0] ^= d + data[0][j+s] ^= d + index += 1 + + d = data[1][j+0] ^ data[1][j+s] + d &= bits[index] + data[1][j+0] ^= d + data[1][j+s] ^= d + index += 1 + } + } +} + +func layerEx(data *[2][64]uint64, bits *[64]uint64, lgs int) { + data0Idx := 0 + data1Idx := 32 + s := 1 << lgs + if s == 64 { + for j := 0; j < 64; j++ { + d := data[0][j+0] ^ data[1][j] + d &= bits[data0Idx] + data0Idx += 1 + data[0][j+0] ^= d + data[1][j] ^= d + } + } else { + for i := 0; i < 64; i += s * 2 { + for j := i; j < i+s; j++ { + d := data[0][j+0] ^ data[0][j+s] + d &= bits[data0Idx] + data0Idx += 1 + + data[0][j+0] ^= d + data[0][j+s] ^= d + + // data[1] computations + d = data[1][j+0] ^ data[1][j+s] + d &= bits[data1Idx] + data1Idx += 1 + + data[1][j+0] ^= d + data[1][j+s] ^= d + } + } + } +} + +func applyBenes(r *[1024]byte, bits *[condBytes]byte) { + rIntV := [2][64]uint64{} + rIntH := [2][64]uint64{} + bIntV := [64]uint64{} + bIntH := [64]uint64{} + bitsPtr := bits[:] + + for i := 0; i < 64; i++ { + rIntV[0][i] = load8(r[i*16:]) + rIntV[1][i] = load8(r[i*16+8:]) + } + + transpose64x64(&rIntH[0], &rIntV[0]) + transpose64x64(&rIntH[1], &rIntV[1]) + + for iter := 0; iter <= 6; iter++ { + for i := 0; i < 64; i++ { + bIntV[i] = load8(bitsPtr) + bitsPtr = bitsPtr[8:] + } + transpose64x64(&bIntH, &bIntV) + layerEx(&rIntH, &bIntH, iter) + } + + transpose64x64(&rIntV[0], &rIntH[0]) + transpose64x64(&rIntV[1], &rIntH[1]) + + for iter := 0; iter <= 5; iter++ { + for i := 0; i < 64; i++ { + bIntV[i] = load8(bitsPtr) + bitsPtr = bitsPtr[8:] + } + layerIn(&rIntV, &bIntV, iter) + } + + for iter := 4; iter >= 0; iter-- { + for i := 0; i < 64; i++ { + bIntV[i] = load8(bitsPtr) + bitsPtr = bitsPtr[8:] + } + layerIn(&rIntV, &bIntV, iter) + } + + transpose64x64(&rIntH[0], &rIntV[0]) + transpose64x64(&rIntH[1], &rIntV[1]) + + for iter := 6; iter >= 0; iter-- { + for i := 0; i < 64; i++ { + bIntV[i] = load8(bitsPtr) + bitsPtr = bitsPtr[8:] + } + transpose64x64(&bIntH, &bIntV) + layerEx(&rIntH, &bIntH, iter) + } + + transpose64x64(&rIntV[0], &rIntH[0]) + transpose64x64(&rIntV[1], &rIntH[1]) + + for i := 0; i < 64; i++ { + store8(r[i*16+0:], rIntV[0][i]) + store8(r[i*16+8:], rIntV[1][i]) + } +} diff --git a/kem/mceliece/mceliece8192128/mceliece.go b/kem/mceliece/mceliece8192128/mceliece.go new file mode 100644 index 000000000..96891c0af --- /dev/null +++ b/kem/mceliece/mceliece8192128/mceliece.go @@ -0,0 +1,737 @@ +// Code generated from mceliece.templ.go. DO NOT EDIT. + +package mceliece8192128 + +import ( + "bytes" + cryptoRand "crypto/rand" + "io" + + "github.com/cloudflare/circl/internal/nist" + "github.com/cloudflare/circl/internal/sha3" + "github.com/cloudflare/circl/kem" + "github.com/cloudflare/circl/kem/mceliece/internal" + "github.com/cloudflare/circl/math/gf8192" +) + +const ( + sysT = 128 // F(y) is 64 degree + gfBits = gf8192.GfBits + gfMask = gf8192.GfMask + unusedBits = 16 - gfBits + sysN = 8192 + condBytes = (1 << (gfBits - 4)) * (2*gfBits - 1) + irrBytes = sysT * 2 + pkNRows = sysT * gfBits + pkNCols = sysN - pkNRows + pkRowBytes = (pkNCols + 7) / 8 + syndBytes = (pkNRows + 7) / 8 + PublicKeySize = 1357824 + PrivateKeySize = 14120 + CiphertextSize = 240 + SharedKeySize = 32 + seedSize = 32 + encapsulationSeedSize = 48 +) + +type PublicKey struct { + pk [PublicKeySize]byte +} + +type PrivateKey struct { + sk [PrivateKeySize]byte +} + +type ( + gf = gf8192.Gf + randFunc = func(pool []byte) error +) + +func deriveKeyPair(entropy []byte) (*PublicKey, *PrivateKey) { + const ( + irrPolys = sysN/8 + (1<>= 8 + + preimage[0] = byte(m & 1) + for i := 0; i < sysN/8; i++ { + preimage[1+i] = (byte(^m) & s[i]) | (byte(m) & e[i]) + } + + copy(preimage[1+sysN/8:][:syndBytes+32], c[0:syndBytes+32]) + return shake256(key[0:32], preimage[:]) +} + +/* input: public key pk, error vector e */ +/* output: syndrome s */ +func syndrome(s []byte, pk []byte, e []byte) { + row := [sysN / 8]byte{} + var b byte + + for i := 0; i < syndBytes; i++ { + s[i] = 0 + } + + for i := 0; i < pkNRows; i++ { + for j := 0; j < sysN/8; j++ { + row[j] = 0 + } + + for j := 0; j < pkRowBytes; j++ { + row[sysN/8-pkRowBytes+j] = pk[j] + } + + row[i/8] |= 1 << (i % 8) + + b = 0 + for j := 0; j < sysN/8; j++ { + b ^= row[j] & e[j] + } + + b ^= b >> 4 + b ^= b >> 2 + b ^= b >> 1 + b &= 1 + + s[i/8] |= b << (i % 8) + + pk = pk[pkRowBytes:] + } +} + +func genE(e []byte, rand randFunc) error { + ind := [sysT]uint16{} + val := [sysT]byte{} + bytes := [sysT * 2]byte{} + for { + rand(bytes[:]) + for i := 0; i < sysT; i++ { + ind[i] = loadGf(bytes[i*2:]) + } + // check for repetition + eq := false + for i := 1; i < sysT; i++ { + for j := 0; j < i; j++ { + if ind[i] == ind[j] { + eq = true + } + } + } + + if !eq { + break + } + } + for j := 0; j < sysT; j++ { + val[j] = 1 << (ind[j] & 7) + } + for i := 0; i < sysN/8; i++ { + e[i] = 0 + + for j := 0; j < sysT; j++ { + mask := sameMask(uint16(i), (ind[j] >> 3)) + e[i] |= val[j] & mask + } + } + return nil +} + +func sameMask(x uint16, y uint16) byte { + mask := uint32(x ^ y) + mask -= 1 + mask >>= 31 + mask = -mask + + return byte(mask & 0xFF) +} + +func supportGen(s *[sysN]gf, c *[condBytes]byte) { + L := [gfBits][(1 << gfBits) / 8]byte{} + for i := 0; i < (1 << gfBits); i++ { + a := bitRev(gf(i)) + for j := 0; j < gfBits; j++ { + L[j][i/8] |= byte(((a >> j) & 1) << (i % 8)) + } + } + for j := 0; j < gfBits; j++ { + applyBenes(&L[j], c) + } + for i := 0; i < sysN; i++ { + s[i] = 0 + for j := gfBits - 1; j >= 0; j-- { + s[i] <<= 1 + s[i] |= uint16(L[j][i/8]>>(i%8)) & 1 + } + } +} + +func synd(out *[sysT * 2]gf, f *[sysT + 1]gf, L *[sysN]gf, r *[sysN / 8]byte) { + for j := 0; j < 2*sysT; j++ { + out[j] = 0 + } + + for i := 0; i < sysN; i++ { + c := uint16(r[i/8]>>(i%8)) & 1 + e := eval(f, L[i]) + eInv := gf8192.Inv(gf8192.Mul(e, e)) + for j := 0; j < 2*sysT; j++ { + out[j] = gf8192.Add(out[j], gf8192.Mul(eInv, c)) + eInv = gf8192.Mul(eInv, L[i]) + } + } +} + +func min(a, b int) int { + if a > b { + return b + } + return a +} + +func bm(out *[sysT + 1]gf, s *[2 * sysT]gf) { + var L, mle, mne uint16 + T := [sysT + 1]gf{} + C := [sysT + 1]gf{} + B := [sysT + 1]gf{} + var b, d, f gf + b = 1 + B[1] = 1 + C[0] = 1 + for N := 0; N < 2*sysT; N++ { + d = 0 + for i := 0; i <= min(N, sysT); i++ { + d ^= gf8192.Mul(C[i], s[N-i]) + } + mne = d + mne -= 1 + mne >>= 15 + mne -= 1 + mle = uint16(N) + mle -= 2 * L + mle >>= 15 + mle -= 1 + mle &= mne + for i := 0; i <= sysT; i++ { + T[i] = C[i] + } + f = gf8192.Div(d, b) + for i := 0; i <= sysT; i++ { + C[i] ^= gf8192.Mul(f, B[i]) & mne + } + L = (L & ^mle) | ((uint16(N) + 1 - L) & mle) + + for i := 0; i <= sysT; i++ { + B[i] = (B[i] & ^mle) | (T[i] & mle) + } + + b = (b & ^mle) | (d & mle) + + for i := sysT; i >= 1; i-- { + B[i] = B[i-1] + } + B[0] = 0 + } + + for i := 0; i <= sysT; i++ { + out[i] = C[sysT-i] + } +} + +func decrypt(e *[sysN / 8]byte, sk []byte, c *[syndBytes]byte) uint16 { + var check uint16 + w := 0 + r := [sysN / 8]byte{} + + g := [sysT + 1]gf{} + L := [sysN]gf{} + + s := [sysT * 2]gf{} + sCmp := [sysT * 2]gf{} + locator := [sysT + 1]gf{} + images := [sysN]gf{} + + copy(r[:syndBytes], c[:syndBytes]) + for i := 0; i < sysT; i++ { + g[i] = loadGf(sk) + sk = sk[2:] + } + g[sysT] = 1 + + supportGen(&L, (*[condBytes]byte)(sk[:condBytes])) + + synd(&s, &g, &L, &r) + bm(&locator, &s) + root(&images, &locator, &L) + + for i := 0; i < sysN/8; i++ { + e[i] = 0 + } + for i := 0; i < sysN; i++ { + t := isZeroMask(images[i]) & 1 + + e[i/8] |= byte(t << (i % 8)) + w += int(t) + } + + synd(&sCmp, &g, &L, e) + check = uint16(w) ^ sysT + for i := 0; i < sysT*2; i++ { + check |= s[i] ^ sCmp[i] + } + + check -= 1 + check >>= 15 + + return check ^ 1 +} + +// check if element is 0, returns a mask with all bits set if so, and 0 otherwise +func isZeroMask(element gf) uint16 { + t := uint32(element) - 1 + t >>= 19 + return uint16(t) +} + +// calculate the minimal polynomial of f and store it in out +func minimalPolynomial(out *[sysT]gf, f *[sysT]gf) bool { + mat := [sysT + 1][sysT]gf{} + mat[0][0] = 1 + for i := 1; i < sysT; i++ { + mat[0][i] = 0 + } + + for i := 0; i < sysT; i++ { + mat[1][i] = f[i] + } + + for i := 2; i <= sysT; i++ { + polyMul(&mat[i], &mat[i-1], f) + } + + for j := 0; j < sysT; j++ { + for k := j + 1; k < sysT; k++ { + mask := isZeroMask(mat[j][j]) + // if mat[j][j] is not zero, add mat[c..sysT+1][k] to mat[c][j] + // do nothing otherwise + for c := j; c <= sysT; c++ { + mat[c][j] ^= mat[c][k] & mask + } + } + + if mat[j][j] == 0 { + return false + } + + inv := gf8192.Inv(mat[j][j]) + for c := 0; c <= sysT; c++ { + mat[c][j] = gf8192.Mul(mat[c][j], inv) + } + + for k := 0; k < sysT; k++ { + if k != j { + t := mat[j][k] + for c := 0; c <= sysT; c++ { + mat[c][k] ^= gf8192.Mul(mat[c][j], t) + } + } + } + } + + for i := 0; i < sysT; i++ { + out[i] = mat[sysT][i] + } + + return true +} + +// calculate the product of a and b in Fq^t +func polyMul(out *[sysT]gf, a *[sysT]gf, b *[sysT]gf) { + product := [sysT*2 - 1]gf{} + for i := 0; i < sysT; i++ { + for j := 0; j < sysT; j++ { + product[i+j] ^= gf8192.Mul(a[i], b[j]) + } + } + + for i := (sysT - 1) * 2; i >= sysT; i-- { + // polynomial reduction + + product[i-sysT+7] ^= product[i] + product[i-sysT+2] ^= product[i] + product[i-sysT+1] ^= product[i] + product[i-sysT] ^= product[i] + + } + + for i := 0; i < sysT; i++ { + out[i] = product[i] + } +} + +func transpose64x64(out, in *[64]uint64) { + masks := [6][2]uint64{ + {0x5555555555555555, 0xAAAAAAAAAAAAAAAA}, + {0x3333333333333333, 0xCCCCCCCCCCCCCCCC}, + {0x0F0F0F0F0F0F0F0F, 0xF0F0F0F0F0F0F0F0}, + {0x00FF00FF00FF00FF, 0xFF00FF00FF00FF00}, + {0x0000FFFF0000FFFF, 0xFFFF0000FFFF0000}, + {0x00000000FFFFFFFF, 0xFFFFFFFF00000000}, + } + copy(out[:], in[:]) + + for d := 5; d >= 0; d-- { + s := 1 << d + for i := 0; i < 64; i += s * 2 { + for j := i; j < i+s; j++ { + x := (out[j] & masks[d][0]) | ((out[j+s] & masks[d][0]) << s) + y := ((out[j] & masks[d][1]) >> s) | (out[j+s] & masks[d][1]) + + out[j+0] = x + out[j+s] = y + } + } + } +} + +func eval(f *[sysT + 1]gf, a gf) gf { + r := f[sysT] + for i := sysT - 1; i >= 0; i-- { + r = gf8192.Mul(r, a) + r = gf8192.Add(r, f[i]) + } + return r +} + +func root(out *[sysN]gf, f *[sysT + 1]gf, l *[sysN]gf) { + for i := 0; i < sysN; i++ { + out[i] = eval(f, l[i]) + } +} + +func shake256(output []byte, input []byte) error { + shake := sha3.NewShake256() + _, err := shake.Write(input) + if err != nil { + return err + } + _, err = shake.Read(output) + if err != nil { + return err + } + return nil +} + +func storeGf(dest []byte, a gf) { + dest[0] = byte(a & 0xFF) + dest[1] = byte(a >> 8) +} + +func loadGf(src []byte) gf { + a := uint16(src[1]) + a <<= 8 + a |= uint16(src[0]) + return a & gfMask +} + +func load4(in []byte) uint32 { + ret := uint32(in[3]) + for i := 2; i >= 0; i-- { + ret <<= 8 + ret |= uint32(in[i]) + } + return ret +} + +func store8(out []byte, in uint64) { + out[0] = byte((in >> 0x00) & 0xFF) + out[1] = byte((in >> 0x08) & 0xFF) + out[2] = byte((in >> 0x10) & 0xFF) + out[3] = byte((in >> 0x18) & 0xFF) + out[4] = byte((in >> 0x20) & 0xFF) + out[5] = byte((in >> 0x28) & 0xFF) + out[6] = byte((in >> 0x30) & 0xFF) + out[7] = byte((in >> 0x38) & 0xFF) +} + +func load8(in []byte) uint64 { + ret := uint64(in[7]) + for i := 6; i >= 0; i-- { + ret <<= 8 + ret |= uint64(in[i]) + } + return ret +} + +func bitRev(a gf) gf { + a = ((a & 0x00FF) << 8) | ((a & 0xFF00) >> 8) + a = ((a & 0x0F0F) << 4) | ((a & 0xF0F0) >> 4) + a = ((a & 0x3333) << 2) | ((a & 0xCCCC) >> 2) + a = ((a & 0x5555) << 1) | ((a & 0xAAAA) >> 1) + + return a >> unusedBits +} + +type scheme struct{} + +var sch kem.Scheme = &scheme{} + +// Scheme returns a KEM interface. +func Scheme() kem.Scheme { return sch } + +func (*scheme) Name() string { return "mceliece8192128" } +func (*scheme) PublicKeySize() int { return PublicKeySize } +func (*scheme) PrivateKeySize() int { return PrivateKeySize } +func (*scheme) SeedSize() int { return seedSize } +func (*scheme) SharedKeySize() int { return SharedKeySize } +func (*scheme) CiphertextSize() int { return CiphertextSize } +func (*scheme) EncapsulationSeedSize() int { return encapsulationSeedSize } + +func (sk *PrivateKey) Scheme() kem.Scheme { return sch } +func (pk *PublicKey) Scheme() kem.Scheme { return sch } + +func (sk *PrivateKey) MarshalBinary() ([]byte, error) { + var ret [PrivateKeySize]byte + copy(ret[:], sk.sk[:]) + return ret[:], nil +} + +// MarshalCompressedBinary returns a 32-byte seed that can be used to regenerate +// the key pair when passed to DeriveKeyPair +func (sk *PrivateKey) MarshalCompressedBinary() []byte { + seed := [32]byte{} + copy(seed[:], sk.sk[:32]) + return seed[:] +} + +func (sk *PrivateKey) Equal(other kem.PrivateKey) bool { + oth, ok := other.(*PrivateKey) + if !ok { + return false + } + return bytes.Equal(sk.sk[:], oth.sk[:]) +} + +func (pk *PublicKey) Equal(other kem.PublicKey) bool { + oth, ok := other.(*PublicKey) + if !ok { + return false + } + return bytes.Equal(pk.pk[:], oth.pk[:]) +} + +func (sk *PrivateKey) Public() kem.PublicKey { + pk, _ := sch.DeriveKeyPair(sk.MarshalCompressedBinary()) + return pk +} + +func (pk *PublicKey) MarshalBinary() ([]byte, error) { + var ret [PublicKeySize]byte + copy(ret[:], pk.pk[:]) + return ret[:], nil +} + +func (*scheme) GenerateKeyPair() (kem.PublicKey, kem.PrivateKey, error) { + seed := [32]byte{} + _, err := io.ReadFull(cryptoRand.Reader, seed[:]) + if err != nil { + return nil, nil, err + } + pk, sk := deriveKeyPair(seed[:]) + return pk, sk, nil +} + +func (*scheme) DeriveKeyPair(seed []byte) (kem.PublicKey, kem.PrivateKey) { + if len(seed) != seedSize { + panic("seed must be of length EncapsulationSeedSize") + } + return deriveKeyPair(seed) +} + +func encapsulate(pk kem.PublicKey, rand randFunc) (ct, ss []byte, err error) { + ppk, ok := pk.(*PublicKey) + if !ok { + return nil, nil, kem.ErrTypeMismatch + } + + ciphertext := [CiphertextSize]byte{} + sharedSecret := [SharedKeySize]byte{} + err = kemEncapsulate(&ciphertext, &sharedSecret, &ppk.pk, rand) + if err != nil { + return nil, nil, err + } + return ciphertext[:], sharedSecret[:], nil +} + +func (*scheme) Encapsulate(pk kem.PublicKey) (ct, ss []byte, err error) { + return encapsulate(pk, func(pool []byte) error { + _, err2 := io.ReadFull(cryptoRand.Reader, pool) + return err2 + }) +} + +func (*scheme) EncapsulateDeterministically(pk kem.PublicKey, seed []byte) (ct, ss []byte, err error) { + // This follow test standards + if len(seed) != encapsulationSeedSize { + return nil, nil, kem.ErrSeedSize + } + + entropy := [48]byte{} + waste := [32]byte{} + copy(entropy[:], seed) + dRng := nist.NewDRBG(&entropy) + dRng.Fill(waste[:]) + + return encapsulate(pk, func(pool []byte) error { + dRng.Fill(pool) + return nil + }) +} + +func (*scheme) Decapsulate(sk kem.PrivateKey, ct []byte) ([]byte, error) { + ssk, ok := sk.(*PrivateKey) + if !ok { + return nil, kem.ErrTypeMismatch + } + + if len(ct) != CiphertextSize { + return nil, kem.ErrCiphertextSize + } + ss := [SharedKeySize]byte{} + err := kemDecapsulate(&ss, (*[CiphertextSize]byte)(ct), &ssk.sk) + if err != nil { + return nil, err + } + return ss[:], nil +} + +func (*scheme) UnmarshalBinaryPublicKey(buf []byte) (kem.PublicKey, error) { + if len(buf) != PublicKeySize { + return nil, kem.ErrPubKeySize + } + pk := [PublicKeySize]byte{} + copy(pk[:], buf) + return &PublicKey{pk: pk}, nil +} + +func (*scheme) UnmarshalBinaryPrivateKey(buf []byte) (kem.PrivateKey, error) { + if len(buf) != PrivateKeySize { + return nil, kem.ErrPrivKeySize + } + sk := [PrivateKeySize]byte{} + copy(sk[:], buf) + return &PrivateKey{sk: sk}, nil +} diff --git a/kem/mceliece/mceliece8192128/pk_gen.go b/kem/mceliece/mceliece8192128/pk_gen.go new file mode 100644 index 000000000..54deb23ce --- /dev/null +++ b/kem/mceliece/mceliece8192128/pk_gen.go @@ -0,0 +1,125 @@ +// Code generated from pk_gen.templ.go. DO NOT EDIT. + +package mceliece8192128 + +import ( + "github.com/cloudflare/circl/kem/mceliece/internal" + "github.com/cloudflare/circl/math/gf8192" +) + +// nolint:unparam +func pkGen(pk *[pkNRows * pkRowBytes]byte, sk []byte, perm *[1 << gfBits]uint32, pi *[1 << gfBits]int16, pivots *uint64) bool { + buf := [1 << gfBits]uint64{} + mat := [pkNRows][sysN / 8]byte{} + g := [sysT + 1]gf{} + L := [sysN]gf{} + inv := [sysN]gf{} + + g[sysT] = 1 + for i := 0; i < sysT; i++ { + g[i] = loadGf(sk) + sk = sk[2:] + } + + for i := 0; i < 1<> 31) == (buf[i] >> 31) { + return false + } + } + + for i := 0; i < (1 << gfBits); i++ { + pi[i] = int16(buf[i] & gfMask) + } + + for i := 0; i < sysN; i++ { + L[i] = bitRev(gf(pi[i])) + } + + // filling the matrix + root(&inv, &g, &L) + + for i := 0; i < sysN; i++ { + inv[i] = gf8192.Inv(inv[i]) + } + + for i := 0; i < sysT; i++ { + for j := 0; j < sysN; j += 8 { + for k := 0; k < gfBits; k++ { + b := byte(inv[j+7]>>k) & 1 + b <<= 1 + b |= byte(inv[j+6]>>k) & 1 + b <<= 1 + b |= byte(inv[j+5]>>k) & 1 + b <<= 1 + b |= byte(inv[j+4]>>k) & 1 + b <<= 1 + b |= byte(inv[j+3]>>k) & 1 + b <<= 1 + b |= byte(inv[j+2]>>k) & 1 + b <<= 1 + b |= byte(inv[j+1]>>k) & 1 + b <<= 1 + b |= byte(inv[j+0]>>k) & 1 + + mat[i*gfBits+k][j/8] = b + } + } + + for j := 0; j < sysN; j++ { + inv[j] = gf8192.Mul(inv[j], L[j]) + } + } + + // gaussian elimination + for i := 0; i < (pkNRows+7)/8; i++ { + for j := 0; j < 8; j++ { + row := i*8 + j + + if row >= pkNRows { + break + } + + for k := row + 1; k < pkNRows; k++ { + mask := mat[row][i] ^ mat[k][i] + mask >>= j + mask &= 1 + mask = -mask + + for c := 0; c < sysN/8; c++ { + mat[row][c] ^= mat[k][c] & mask + } + } + + // return if not systematic + if ((mat[row][i] >> j) & 1) == 0 { + return false + } + + for k := 0; k < pkNRows; k++ { + if k != row { + mask := mat[k][i] >> j + mask &= 1 + mask = -mask + + for c := 0; c < sysN/8; c++ { + mat[k][c] ^= mat[row][c] & mask + } + } + } + } + } + + for i := 0; i < pkNRows; i++ { + copy(pk[i*pkRowBytes:], mat[i][pkNRows/8:pkNRows/8+pkRowBytes]) + } + + return true +} diff --git a/kem/mceliece/mceliece8192128f/benes.go b/kem/mceliece/mceliece8192128f/benes.go new file mode 100644 index 000000000..610474cdd --- /dev/null +++ b/kem/mceliece/mceliece8192128f/benes.go @@ -0,0 +1,121 @@ +// Code generated from benes_other.templ.go. DO NOT EDIT. + +package mceliece8192128f + +func layerIn(data *[2][64]uint64, bits *[64]uint64, lgs int) { + s := 1 << lgs + index := 0 + for i := 0; i < 64; i += s * 2 { + for j := i; j < i+s; j++ { + d := data[0][j+0] ^ data[0][j+s] + d &= bits[index] + data[0][j+0] ^= d + data[0][j+s] ^= d + index += 1 + + d = data[1][j+0] ^ data[1][j+s] + d &= bits[index] + data[1][j+0] ^= d + data[1][j+s] ^= d + index += 1 + } + } +} + +func layerEx(data *[2][64]uint64, bits *[64]uint64, lgs int) { + data0Idx := 0 + data1Idx := 32 + s := 1 << lgs + if s == 64 { + for j := 0; j < 64; j++ { + d := data[0][j+0] ^ data[1][j] + d &= bits[data0Idx] + data0Idx += 1 + data[0][j+0] ^= d + data[1][j] ^= d + } + } else { + for i := 0; i < 64; i += s * 2 { + for j := i; j < i+s; j++ { + d := data[0][j+0] ^ data[0][j+s] + d &= bits[data0Idx] + data0Idx += 1 + + data[0][j+0] ^= d + data[0][j+s] ^= d + + // data[1] computations + d = data[1][j+0] ^ data[1][j+s] + d &= bits[data1Idx] + data1Idx += 1 + + data[1][j+0] ^= d + data[1][j+s] ^= d + } + } + } +} + +func applyBenes(r *[1024]byte, bits *[condBytes]byte) { + rIntV := [2][64]uint64{} + rIntH := [2][64]uint64{} + bIntV := [64]uint64{} + bIntH := [64]uint64{} + bitsPtr := bits[:] + + for i := 0; i < 64; i++ { + rIntV[0][i] = load8(r[i*16:]) + rIntV[1][i] = load8(r[i*16+8:]) + } + + transpose64x64(&rIntH[0], &rIntV[0]) + transpose64x64(&rIntH[1], &rIntV[1]) + + for iter := 0; iter <= 6; iter++ { + for i := 0; i < 64; i++ { + bIntV[i] = load8(bitsPtr) + bitsPtr = bitsPtr[8:] + } + transpose64x64(&bIntH, &bIntV) + layerEx(&rIntH, &bIntH, iter) + } + + transpose64x64(&rIntV[0], &rIntH[0]) + transpose64x64(&rIntV[1], &rIntH[1]) + + for iter := 0; iter <= 5; iter++ { + for i := 0; i < 64; i++ { + bIntV[i] = load8(bitsPtr) + bitsPtr = bitsPtr[8:] + } + layerIn(&rIntV, &bIntV, iter) + } + + for iter := 4; iter >= 0; iter-- { + for i := 0; i < 64; i++ { + bIntV[i] = load8(bitsPtr) + bitsPtr = bitsPtr[8:] + } + layerIn(&rIntV, &bIntV, iter) + } + + transpose64x64(&rIntH[0], &rIntV[0]) + transpose64x64(&rIntH[1], &rIntV[1]) + + for iter := 6; iter >= 0; iter-- { + for i := 0; i < 64; i++ { + bIntV[i] = load8(bitsPtr) + bitsPtr = bitsPtr[8:] + } + transpose64x64(&bIntH, &bIntV) + layerEx(&rIntH, &bIntH, iter) + } + + transpose64x64(&rIntV[0], &rIntH[0]) + transpose64x64(&rIntV[1], &rIntH[1]) + + for i := 0; i < 64; i++ { + store8(r[i*16+0:], rIntV[0][i]) + store8(r[i*16+8:], rIntV[1][i]) + } +} diff --git a/kem/mceliece/mceliece8192128f/mceliece.go b/kem/mceliece/mceliece8192128f/mceliece.go new file mode 100644 index 000000000..ee9920bba --- /dev/null +++ b/kem/mceliece/mceliece8192128f/mceliece.go @@ -0,0 +1,737 @@ +// Code generated from mceliece.templ.go. DO NOT EDIT. + +package mceliece8192128f + +import ( + "bytes" + cryptoRand "crypto/rand" + "io" + + "github.com/cloudflare/circl/internal/nist" + "github.com/cloudflare/circl/internal/sha3" + "github.com/cloudflare/circl/kem" + "github.com/cloudflare/circl/kem/mceliece/internal" + "github.com/cloudflare/circl/math/gf8192" +) + +const ( + sysT = 128 // F(y) is 64 degree + gfBits = gf8192.GfBits + gfMask = gf8192.GfMask + unusedBits = 16 - gfBits + sysN = 8192 + condBytes = (1 << (gfBits - 4)) * (2*gfBits - 1) + irrBytes = sysT * 2 + pkNRows = sysT * gfBits + pkNCols = sysN - pkNRows + pkRowBytes = (pkNCols + 7) / 8 + syndBytes = (pkNRows + 7) / 8 + PublicKeySize = 1357824 + PrivateKeySize = 14120 + CiphertextSize = 240 + SharedKeySize = 32 + seedSize = 32 + encapsulationSeedSize = 48 +) + +type PublicKey struct { + pk [PublicKeySize]byte +} + +type PrivateKey struct { + sk [PrivateKeySize]byte +} + +type ( + gf = gf8192.Gf + randFunc = func(pool []byte) error +) + +func deriveKeyPair(entropy []byte) (*PublicKey, *PrivateKey) { + const ( + irrPolys = sysN/8 + (1<>= 8 + + preimage[0] = byte(m & 1) + for i := 0; i < sysN/8; i++ { + preimage[1+i] = (byte(^m) & s[i]) | (byte(m) & e[i]) + } + + copy(preimage[1+sysN/8:][:syndBytes+32], c[0:syndBytes+32]) + return shake256(key[0:32], preimage[:]) +} + +/* input: public key pk, error vector e */ +/* output: syndrome s */ +func syndrome(s []byte, pk []byte, e []byte) { + row := [sysN / 8]byte{} + var b byte + + for i := 0; i < syndBytes; i++ { + s[i] = 0 + } + + for i := 0; i < pkNRows; i++ { + for j := 0; j < sysN/8; j++ { + row[j] = 0 + } + + for j := 0; j < pkRowBytes; j++ { + row[sysN/8-pkRowBytes+j] = pk[j] + } + + row[i/8] |= 1 << (i % 8) + + b = 0 + for j := 0; j < sysN/8; j++ { + b ^= row[j] & e[j] + } + + b ^= b >> 4 + b ^= b >> 2 + b ^= b >> 1 + b &= 1 + + s[i/8] |= b << (i % 8) + + pk = pk[pkRowBytes:] + } +} + +func genE(e []byte, rand randFunc) error { + ind := [sysT]uint16{} + val := [sysT]byte{} + bytes := [sysT * 2]byte{} + for { + rand(bytes[:]) + for i := 0; i < sysT; i++ { + ind[i] = loadGf(bytes[i*2:]) + } + // check for repetition + eq := false + for i := 1; i < sysT; i++ { + for j := 0; j < i; j++ { + if ind[i] == ind[j] { + eq = true + } + } + } + + if !eq { + break + } + } + for j := 0; j < sysT; j++ { + val[j] = 1 << (ind[j] & 7) + } + for i := 0; i < sysN/8; i++ { + e[i] = 0 + + for j := 0; j < sysT; j++ { + mask := sameMask(uint16(i), (ind[j] >> 3)) + e[i] |= val[j] & mask + } + } + return nil +} + +func sameMask(x uint16, y uint16) byte { + mask := uint32(x ^ y) + mask -= 1 + mask >>= 31 + mask = -mask + + return byte(mask & 0xFF) +} + +func supportGen(s *[sysN]gf, c *[condBytes]byte) { + L := [gfBits][(1 << gfBits) / 8]byte{} + for i := 0; i < (1 << gfBits); i++ { + a := bitRev(gf(i)) + for j := 0; j < gfBits; j++ { + L[j][i/8] |= byte(((a >> j) & 1) << (i % 8)) + } + } + for j := 0; j < gfBits; j++ { + applyBenes(&L[j], c) + } + for i := 0; i < sysN; i++ { + s[i] = 0 + for j := gfBits - 1; j >= 0; j-- { + s[i] <<= 1 + s[i] |= uint16(L[j][i/8]>>(i%8)) & 1 + } + } +} + +func synd(out *[sysT * 2]gf, f *[sysT + 1]gf, L *[sysN]gf, r *[sysN / 8]byte) { + for j := 0; j < 2*sysT; j++ { + out[j] = 0 + } + + for i := 0; i < sysN; i++ { + c := uint16(r[i/8]>>(i%8)) & 1 + e := eval(f, L[i]) + eInv := gf8192.Inv(gf8192.Mul(e, e)) + for j := 0; j < 2*sysT; j++ { + out[j] = gf8192.Add(out[j], gf8192.Mul(eInv, c)) + eInv = gf8192.Mul(eInv, L[i]) + } + } +} + +func min(a, b int) int { + if a > b { + return b + } + return a +} + +func bm(out *[sysT + 1]gf, s *[2 * sysT]gf) { + var L, mle, mne uint16 + T := [sysT + 1]gf{} + C := [sysT + 1]gf{} + B := [sysT + 1]gf{} + var b, d, f gf + b = 1 + B[1] = 1 + C[0] = 1 + for N := 0; N < 2*sysT; N++ { + d = 0 + for i := 0; i <= min(N, sysT); i++ { + d ^= gf8192.Mul(C[i], s[N-i]) + } + mne = d + mne -= 1 + mne >>= 15 + mne -= 1 + mle = uint16(N) + mle -= 2 * L + mle >>= 15 + mle -= 1 + mle &= mne + for i := 0; i <= sysT; i++ { + T[i] = C[i] + } + f = gf8192.Div(d, b) + for i := 0; i <= sysT; i++ { + C[i] ^= gf8192.Mul(f, B[i]) & mne + } + L = (L & ^mle) | ((uint16(N) + 1 - L) & mle) + + for i := 0; i <= sysT; i++ { + B[i] = (B[i] & ^mle) | (T[i] & mle) + } + + b = (b & ^mle) | (d & mle) + + for i := sysT; i >= 1; i-- { + B[i] = B[i-1] + } + B[0] = 0 + } + + for i := 0; i <= sysT; i++ { + out[i] = C[sysT-i] + } +} + +func decrypt(e *[sysN / 8]byte, sk []byte, c *[syndBytes]byte) uint16 { + var check uint16 + w := 0 + r := [sysN / 8]byte{} + + g := [sysT + 1]gf{} + L := [sysN]gf{} + + s := [sysT * 2]gf{} + sCmp := [sysT * 2]gf{} + locator := [sysT + 1]gf{} + images := [sysN]gf{} + + copy(r[:syndBytes], c[:syndBytes]) + for i := 0; i < sysT; i++ { + g[i] = loadGf(sk) + sk = sk[2:] + } + g[sysT] = 1 + + supportGen(&L, (*[condBytes]byte)(sk[:condBytes])) + + synd(&s, &g, &L, &r) + bm(&locator, &s) + root(&images, &locator, &L) + + for i := 0; i < sysN/8; i++ { + e[i] = 0 + } + for i := 0; i < sysN; i++ { + t := isZeroMask(images[i]) & 1 + + e[i/8] |= byte(t << (i % 8)) + w += int(t) + } + + synd(&sCmp, &g, &L, e) + check = uint16(w) ^ sysT + for i := 0; i < sysT*2; i++ { + check |= s[i] ^ sCmp[i] + } + + check -= 1 + check >>= 15 + + return check ^ 1 +} + +// check if element is 0, returns a mask with all bits set if so, and 0 otherwise +func isZeroMask(element gf) uint16 { + t := uint32(element) - 1 + t >>= 19 + return uint16(t) +} + +// calculate the minimal polynomial of f and store it in out +func minimalPolynomial(out *[sysT]gf, f *[sysT]gf) bool { + mat := [sysT + 1][sysT]gf{} + mat[0][0] = 1 + for i := 1; i < sysT; i++ { + mat[0][i] = 0 + } + + for i := 0; i < sysT; i++ { + mat[1][i] = f[i] + } + + for i := 2; i <= sysT; i++ { + polyMul(&mat[i], &mat[i-1], f) + } + + for j := 0; j < sysT; j++ { + for k := j + 1; k < sysT; k++ { + mask := isZeroMask(mat[j][j]) + // if mat[j][j] is not zero, add mat[c..sysT+1][k] to mat[c][j] + // do nothing otherwise + for c := j; c <= sysT; c++ { + mat[c][j] ^= mat[c][k] & mask + } + } + + if mat[j][j] == 0 { + return false + } + + inv := gf8192.Inv(mat[j][j]) + for c := 0; c <= sysT; c++ { + mat[c][j] = gf8192.Mul(mat[c][j], inv) + } + + for k := 0; k < sysT; k++ { + if k != j { + t := mat[j][k] + for c := 0; c <= sysT; c++ { + mat[c][k] ^= gf8192.Mul(mat[c][j], t) + } + } + } + } + + for i := 0; i < sysT; i++ { + out[i] = mat[sysT][i] + } + + return true +} + +// calculate the product of a and b in Fq^t +func polyMul(out *[sysT]gf, a *[sysT]gf, b *[sysT]gf) { + product := [sysT*2 - 1]gf{} + for i := 0; i < sysT; i++ { + for j := 0; j < sysT; j++ { + product[i+j] ^= gf8192.Mul(a[i], b[j]) + } + } + + for i := (sysT - 1) * 2; i >= sysT; i-- { + // polynomial reduction + + product[i-sysT+7] ^= product[i] + product[i-sysT+2] ^= product[i] + product[i-sysT+1] ^= product[i] + product[i-sysT] ^= product[i] + + } + + for i := 0; i < sysT; i++ { + out[i] = product[i] + } +} + +func transpose64x64(out, in *[64]uint64) { + masks := [6][2]uint64{ + {0x5555555555555555, 0xAAAAAAAAAAAAAAAA}, + {0x3333333333333333, 0xCCCCCCCCCCCCCCCC}, + {0x0F0F0F0F0F0F0F0F, 0xF0F0F0F0F0F0F0F0}, + {0x00FF00FF00FF00FF, 0xFF00FF00FF00FF00}, + {0x0000FFFF0000FFFF, 0xFFFF0000FFFF0000}, + {0x00000000FFFFFFFF, 0xFFFFFFFF00000000}, + } + copy(out[:], in[:]) + + for d := 5; d >= 0; d-- { + s := 1 << d + for i := 0; i < 64; i += s * 2 { + for j := i; j < i+s; j++ { + x := (out[j] & masks[d][0]) | ((out[j+s] & masks[d][0]) << s) + y := ((out[j] & masks[d][1]) >> s) | (out[j+s] & masks[d][1]) + + out[j+0] = x + out[j+s] = y + } + } + } +} + +func eval(f *[sysT + 1]gf, a gf) gf { + r := f[sysT] + for i := sysT - 1; i >= 0; i-- { + r = gf8192.Mul(r, a) + r = gf8192.Add(r, f[i]) + } + return r +} + +func root(out *[sysN]gf, f *[sysT + 1]gf, l *[sysN]gf) { + for i := 0; i < sysN; i++ { + out[i] = eval(f, l[i]) + } +} + +func shake256(output []byte, input []byte) error { + shake := sha3.NewShake256() + _, err := shake.Write(input) + if err != nil { + return err + } + _, err = shake.Read(output) + if err != nil { + return err + } + return nil +} + +func storeGf(dest []byte, a gf) { + dest[0] = byte(a & 0xFF) + dest[1] = byte(a >> 8) +} + +func loadGf(src []byte) gf { + a := uint16(src[1]) + a <<= 8 + a |= uint16(src[0]) + return a & gfMask +} + +func load4(in []byte) uint32 { + ret := uint32(in[3]) + for i := 2; i >= 0; i-- { + ret <<= 8 + ret |= uint32(in[i]) + } + return ret +} + +func store8(out []byte, in uint64) { + out[0] = byte((in >> 0x00) & 0xFF) + out[1] = byte((in >> 0x08) & 0xFF) + out[2] = byte((in >> 0x10) & 0xFF) + out[3] = byte((in >> 0x18) & 0xFF) + out[4] = byte((in >> 0x20) & 0xFF) + out[5] = byte((in >> 0x28) & 0xFF) + out[6] = byte((in >> 0x30) & 0xFF) + out[7] = byte((in >> 0x38) & 0xFF) +} + +func load8(in []byte) uint64 { + ret := uint64(in[7]) + for i := 6; i >= 0; i-- { + ret <<= 8 + ret |= uint64(in[i]) + } + return ret +} + +func bitRev(a gf) gf { + a = ((a & 0x00FF) << 8) | ((a & 0xFF00) >> 8) + a = ((a & 0x0F0F) << 4) | ((a & 0xF0F0) >> 4) + a = ((a & 0x3333) << 2) | ((a & 0xCCCC) >> 2) + a = ((a & 0x5555) << 1) | ((a & 0xAAAA) >> 1) + + return a >> unusedBits +} + +type scheme struct{} + +var sch kem.Scheme = &scheme{} + +// Scheme returns a KEM interface. +func Scheme() kem.Scheme { return sch } + +func (*scheme) Name() string { return "mceliece8192128f" } +func (*scheme) PublicKeySize() int { return PublicKeySize } +func (*scheme) PrivateKeySize() int { return PrivateKeySize } +func (*scheme) SeedSize() int { return seedSize } +func (*scheme) SharedKeySize() int { return SharedKeySize } +func (*scheme) CiphertextSize() int { return CiphertextSize } +func (*scheme) EncapsulationSeedSize() int { return encapsulationSeedSize } + +func (sk *PrivateKey) Scheme() kem.Scheme { return sch } +func (pk *PublicKey) Scheme() kem.Scheme { return sch } + +func (sk *PrivateKey) MarshalBinary() ([]byte, error) { + var ret [PrivateKeySize]byte + copy(ret[:], sk.sk[:]) + return ret[:], nil +} + +// MarshalCompressedBinary returns a 32-byte seed that can be used to regenerate +// the key pair when passed to DeriveKeyPair +func (sk *PrivateKey) MarshalCompressedBinary() []byte { + seed := [32]byte{} + copy(seed[:], sk.sk[:32]) + return seed[:] +} + +func (sk *PrivateKey) Equal(other kem.PrivateKey) bool { + oth, ok := other.(*PrivateKey) + if !ok { + return false + } + return bytes.Equal(sk.sk[:], oth.sk[:]) +} + +func (pk *PublicKey) Equal(other kem.PublicKey) bool { + oth, ok := other.(*PublicKey) + if !ok { + return false + } + return bytes.Equal(pk.pk[:], oth.pk[:]) +} + +func (sk *PrivateKey) Public() kem.PublicKey { + pk, _ := sch.DeriveKeyPair(sk.MarshalCompressedBinary()) + return pk +} + +func (pk *PublicKey) MarshalBinary() ([]byte, error) { + var ret [PublicKeySize]byte + copy(ret[:], pk.pk[:]) + return ret[:], nil +} + +func (*scheme) GenerateKeyPair() (kem.PublicKey, kem.PrivateKey, error) { + seed := [32]byte{} + _, err := io.ReadFull(cryptoRand.Reader, seed[:]) + if err != nil { + return nil, nil, err + } + pk, sk := deriveKeyPair(seed[:]) + return pk, sk, nil +} + +func (*scheme) DeriveKeyPair(seed []byte) (kem.PublicKey, kem.PrivateKey) { + if len(seed) != seedSize { + panic("seed must be of length EncapsulationSeedSize") + } + return deriveKeyPair(seed) +} + +func encapsulate(pk kem.PublicKey, rand randFunc) (ct, ss []byte, err error) { + ppk, ok := pk.(*PublicKey) + if !ok { + return nil, nil, kem.ErrTypeMismatch + } + + ciphertext := [CiphertextSize]byte{} + sharedSecret := [SharedKeySize]byte{} + err = kemEncapsulate(&ciphertext, &sharedSecret, &ppk.pk, rand) + if err != nil { + return nil, nil, err + } + return ciphertext[:], sharedSecret[:], nil +} + +func (*scheme) Encapsulate(pk kem.PublicKey) (ct, ss []byte, err error) { + return encapsulate(pk, func(pool []byte) error { + _, err2 := io.ReadFull(cryptoRand.Reader, pool) + return err2 + }) +} + +func (*scheme) EncapsulateDeterministically(pk kem.PublicKey, seed []byte) (ct, ss []byte, err error) { + // This follow test standards + if len(seed) != encapsulationSeedSize { + return nil, nil, kem.ErrSeedSize + } + + entropy := [48]byte{} + waste := [32]byte{} + copy(entropy[:], seed) + dRng := nist.NewDRBG(&entropy) + dRng.Fill(waste[:]) + + return encapsulate(pk, func(pool []byte) error { + dRng.Fill(pool) + return nil + }) +} + +func (*scheme) Decapsulate(sk kem.PrivateKey, ct []byte) ([]byte, error) { + ssk, ok := sk.(*PrivateKey) + if !ok { + return nil, kem.ErrTypeMismatch + } + + if len(ct) != CiphertextSize { + return nil, kem.ErrCiphertextSize + } + ss := [SharedKeySize]byte{} + err := kemDecapsulate(&ss, (*[CiphertextSize]byte)(ct), &ssk.sk) + if err != nil { + return nil, err + } + return ss[:], nil +} + +func (*scheme) UnmarshalBinaryPublicKey(buf []byte) (kem.PublicKey, error) { + if len(buf) != PublicKeySize { + return nil, kem.ErrPubKeySize + } + pk := [PublicKeySize]byte{} + copy(pk[:], buf) + return &PublicKey{pk: pk}, nil +} + +func (*scheme) UnmarshalBinaryPrivateKey(buf []byte) (kem.PrivateKey, error) { + if len(buf) != PrivateKeySize { + return nil, kem.ErrPrivKeySize + } + sk := [PrivateKeySize]byte{} + copy(sk[:], buf) + return &PrivateKey{sk: sk}, nil +} diff --git a/kem/mceliece/mceliece8192128f/pk_gen.go b/kem/mceliece/mceliece8192128f/pk_gen.go new file mode 100644 index 000000000..19471efa9 --- /dev/null +++ b/kem/mceliece/mceliece8192128f/pk_gen.go @@ -0,0 +1,222 @@ +// Code generated from pk_gen.templ.go. DO NOT EDIT. + +package mceliece8192128f + +import ( + "github.com/cloudflare/circl/kem/mceliece/internal" + "github.com/cloudflare/circl/math/gf8192" +) + +func ctz(in uint64) int { + m := 0 + r := 0 + for i := 0; i < 64; i++ { + b := int((in >> i) & 1) + m |= b + r += (m ^ 1) & (b ^ 1) + } + return r +} + +func sameMask64(x, y uint16) uint64 { + mask := uint64(x ^ y) + mask -= 1 + mask >>= 63 + mask = -mask + return mask +} + +func movColumns(mat *[pkNRows][sysN / 8]byte, pi []int16, pivots *uint64) bool { + buf := [64]uint64{} + ctzList := [32]uint64{} + row := pkNRows - 32 + blockIdx := row / 8 + + // extract the 32x64 matrix + + for i := 0; i < 32; i++ { + buf[i] = load8(mat[row+i][blockIdx:]) + } + + // compute the column indices of pivots by Gaussian elimination. + // the indices are stored in ctz_list + + *pivots = 0 + + for i := 0; i < 32; i++ { + t := buf[i] + for j := i + 1; j < 32; j++ { + t |= buf[j] + } + if t == 0 { + return false // return if buf is not full rank + } + s := ctz(t) + ctzList[i] = uint64(s) + *pivots |= 1 << s + + for j := i + 1; j < 32; j++ { + mask := (buf[i] >> s) & 1 + mask -= 1 + buf[i] ^= buf[j] & mask + } + for j := i + 1; j < 32; j++ { + mask := (buf[j] >> s) & 1 + mask = -mask + buf[j] ^= buf[i] & mask + } + } + + // updating permutation + for j := 0; j < 32; j++ { + for k := j + 1; k < 64; k++ { + d := uint64(pi[row+j] ^ pi[row+k]) + d &= sameMask64(uint16(k), uint16(ctzList[j])) + pi[row+j] ^= int16(d) + pi[row+k] ^= int16(d) + } + } + + // moving columns of mat according to the column indices of pivots + for i := 0; i < pkNRows; i++ { + + t := load8(mat[i][blockIdx:]) + + for j := 0; j < 32; j++ { + d := t >> j + d ^= t >> ctzList[j] + d &= 1 + + t ^= d << ctzList[j] + t ^= d << j + } + + store8(mat[i][blockIdx:], t) + + } + + return true +} + +// nolint:unparam +func pkGen(pk *[pkNRows * pkRowBytes]byte, sk []byte, perm *[1 << gfBits]uint32, pi *[1 << gfBits]int16, pivots *uint64) bool { + buf := [1 << gfBits]uint64{} + mat := [pkNRows][sysN / 8]byte{} + g := [sysT + 1]gf{} + L := [sysN]gf{} + inv := [sysN]gf{} + + g[sysT] = 1 + for i := 0; i < sysT; i++ { + g[i] = loadGf(sk) + sk = sk[2:] + } + + for i := 0; i < 1<> 31) == (buf[i] >> 31) { + return false + } + } + + for i := 0; i < (1 << gfBits); i++ { + pi[i] = int16(buf[i] & gfMask) + } + + for i := 0; i < sysN; i++ { + L[i] = bitRev(gf(pi[i])) + } + + // filling the matrix + root(&inv, &g, &L) + + for i := 0; i < sysN; i++ { + inv[i] = gf8192.Inv(inv[i]) + } + + for i := 0; i < sysT; i++ { + for j := 0; j < sysN; j += 8 { + for k := 0; k < gfBits; k++ { + b := byte(inv[j+7]>>k) & 1 + b <<= 1 + b |= byte(inv[j+6]>>k) & 1 + b <<= 1 + b |= byte(inv[j+5]>>k) & 1 + b <<= 1 + b |= byte(inv[j+4]>>k) & 1 + b <<= 1 + b |= byte(inv[j+3]>>k) & 1 + b <<= 1 + b |= byte(inv[j+2]>>k) & 1 + b <<= 1 + b |= byte(inv[j+1]>>k) & 1 + b <<= 1 + b |= byte(inv[j+0]>>k) & 1 + + mat[i*gfBits+k][j/8] = b + } + } + + for j := 0; j < sysN; j++ { + inv[j] = gf8192.Mul(inv[j], L[j]) + } + } + + // gaussian elimination + for i := 0; i < (pkNRows+7)/8; i++ { + for j := 0; j < 8; j++ { + row := i*8 + j + + if row >= pkNRows { + break + } + + if row == pkNRows-32 { + if !movColumns(&mat, pi[:], pivots) { + return false + } + } + + for k := row + 1; k < pkNRows; k++ { + mask := mat[row][i] ^ mat[k][i] + mask >>= j + mask &= 1 + mask = -mask + + for c := 0; c < sysN/8; c++ { + mat[row][c] ^= mat[k][c] & mask + } + } + + // return if not systematic + if ((mat[row][i] >> j) & 1) == 0 { + return false + } + + for k := 0; k < pkNRows; k++ { + if k != row { + mask := mat[k][i] >> j + mask &= 1 + mask = -mask + + for c := 0; c < sysN/8; c++ { + mat[k][c] ^= mat[row][c] & mask + } + } + } + } + } + + for i := 0; i < pkNRows; i++ { + copy(pk[i*pkRowBytes:], mat[i][pkNRows/8:pkNRows/8+pkRowBytes]) + } + + return true +} diff --git a/kem/mceliece/templates/benes_348864.templ.go b/kem/mceliece/templates/benes_348864.templ.go new file mode 100644 index 000000000..3c0e80683 --- /dev/null +++ b/kem/mceliece/templates/benes_348864.templ.go @@ -0,0 +1,69 @@ +// +build ignore +// The previous line (and this one up to the warning below) is removed by the +// template generator. + +// Code generated from benes_348864.templ.go. DO NOT EDIT. + +package {{.Pkg}} + +func layer(data, bits []uint64, lgs int) { + index := 0 + s := 1 << lgs + for i := 0; i < 64; i += s * 2 { + for j := i; j < i+s; j++ { + d := data[j] ^ data[j+s] + d &= bits[index] + index++ + data[j] ^= d + data[j+s] ^= d + } + } +} + +func applyBenes(r *[512]byte, bits *[condBytes]byte) { + bs := [64]uint64{} + cond := [64]uint64{} + for i := 0; i < 64; i++ { + bs[i] = load8(r[i*8:]) + } + + transpose64x64(&bs, &bs) + + for low := 0; low <= 5; low++ { + for i := 0; i < 64; i++ { + cond[i] = uint64(load4(bits[low*256+i*4:])) + } + transpose64x64(&cond, &cond) + layer(bs[:], cond[:], low) + } + + transpose64x64(&bs, &bs) + + for low := 0; low <= 5; low++ { + for i := 0; i < 32; i++ { + cond[i] = load8(bits[(low+6)*256+i*8:]) + } + layer(bs[:], cond[:], low) + } + for low := 4; low >= 0; low-- { + for i := 0; i < 32; i++ { + cond[i] = load8(bits[(4-low+6+6)*256+i*8:]) + } + layer(bs[:], cond[:], low) + } + + transpose64x64(&bs, &bs) + + for low := 5; low >= 0; low-- { + for i := 0; i < 64; i++ { + cond[i] = uint64(load4(bits[(5-low+6+6+5)*256+i*4:])) + } + transpose64x64(&cond, &cond) + layer(bs[:], cond[:], low) + } + transpose64x64(&bs, &bs) + + for i := 0; i < 64; i++ { + store8(r[i*8:], bs[i]) + } +} diff --git a/kem/mceliece/templates/benes_other.templ.go b/kem/mceliece/templates/benes_other.templ.go new file mode 100644 index 000000000..cea9629ea --- /dev/null +++ b/kem/mceliece/templates/benes_other.templ.go @@ -0,0 +1,125 @@ +// +build ignore +// The previous line (and this one up to the warning below) is removed by the +// template generator. + +// Code generated from benes_other.templ.go. DO NOT EDIT. + +package {{.Pkg}} + +func layerIn(data *[2][64]uint64, bits *[64]uint64, lgs int) { + s := 1 << lgs + index := 0 + for i := 0; i < 64; i += s * 2 { + for j := i; j < i+s; j++ { + d := data[0][j+0] ^ data[0][j+s] + d &= bits[index] + data[0][j+0] ^= d + data[0][j+s] ^= d + index += 1 + + d = data[1][j+0] ^ data[1][j+s] + d &= bits[index] + data[1][j+0] ^= d + data[1][j+s] ^= d + index += 1 + } + } +} + +func layerEx(data *[2][64]uint64, bits *[64]uint64, lgs int) { + data0Idx := 0 + data1Idx := 32 + s := 1 << lgs + if s == 64 { + for j := 0; j < 64; j++ { + d := data[0][j+0] ^ data[1][j] + d &= bits[data0Idx] + data0Idx += 1 + data[0][j+0] ^= d + data[1][j] ^= d + } + } else { + for i := 0; i < 64; i += s * 2 { + for j := i; j < i+s; j++ { + d := data[0][j+0] ^ data[0][j+s] + d &= bits[data0Idx] + data0Idx += 1 + + data[0][j+0] ^= d + data[0][j+s] ^= d + + // data[1] computations + d = data[1][j+0] ^ data[1][j+s] + d &= bits[data1Idx] + data1Idx += 1 + + data[1][j+0] ^= d + data[1][j+s] ^= d + } + } + } +} + +func applyBenes(r *[1024]byte, bits *[condBytes]byte) { + rIntV := [2][64]uint64{} + rIntH := [2][64]uint64{} + bIntV := [64]uint64{} + bIntH := [64]uint64{} + bitsPtr := bits[:] + + for i := 0; i < 64; i++ { + rIntV[0][i] = load8(r[i*16:]) + rIntV[1][i] = load8(r[i*16+8:]) + } + + transpose64x64(&rIntH[0], &rIntV[0]) + transpose64x64(&rIntH[1], &rIntV[1]) + + for iter := 0; iter <= 6; iter++ { + for i := 0; i < 64; i++ { + bIntV[i] = load8(bitsPtr) + bitsPtr = bitsPtr[8:] + } + transpose64x64(&bIntH, &bIntV) + layerEx(&rIntH, &bIntH, iter) + } + + transpose64x64(&rIntV[0], &rIntH[0]) + transpose64x64(&rIntV[1], &rIntH[1]) + + for iter := 0; iter <= 5; iter++ { + for i := 0; i < 64; i++ { + bIntV[i] = load8(bitsPtr) + bitsPtr = bitsPtr[8:] + } + layerIn(&rIntV, &bIntV, iter) + } + + for iter := 4; iter >= 0; iter-- { + for i := 0; i < 64; i++ { + bIntV[i] = load8(bitsPtr) + bitsPtr = bitsPtr[8:] + } + layerIn(&rIntV, &bIntV, iter) + } + + transpose64x64(&rIntH[0], &rIntV[0]) + transpose64x64(&rIntH[1], &rIntV[1]) + + for iter := 6; iter >= 0; iter-- { + for i := 0; i < 64; i++ { + bIntV[i] = load8(bitsPtr) + bitsPtr = bitsPtr[8:] + } + transpose64x64(&bIntH, &bIntV) + layerEx(&rIntH, &bIntH, iter) + } + + transpose64x64(&rIntV[0], &rIntH[0]) + transpose64x64(&rIntV[1], &rIntH[1]) + + for i := 0; i < 64; i++ { + store8(r[i*16+0:], rIntV[0][i]) + store8(r[i*16+8:], rIntV[1][i]) + } +} diff --git a/kem/mceliece/templates/mceliece.templ.go b/kem/mceliece/templates/mceliece.templ.go new file mode 100644 index 000000000..8e4c4c548 --- /dev/null +++ b/kem/mceliece/templates/mceliece.templ.go @@ -0,0 +1,813 @@ +// +build ignore +// The previous line (and this one up to the warning below) is removed by the +// template generator. + +// Code generated from mceliece.templ.go. DO NOT EDIT. + +package {{.Pkg}} + +import ( + "bytes" + cryptoRand "crypto/rand" + "io" + + "github.com/cloudflare/circl/internal/nist" + "github.com/cloudflare/circl/internal/sha3" + "github.com/cloudflare/circl/kem" + "github.com/cloudflare/circl/math/{{.Param.Gf}}" + "github.com/cloudflare/circl/kem/mceliece/internal" +) + +const ( + sysT = {{.Param.SysT}}// F(y) is 64 degree + gfBits = {{.Param.Gf}}.GfBits + gfMask = {{.Param.Gf}}.GfMask + unusedBits = 16 - gfBits + sysN = {{.Param.SysN}} + condBytes = (1 << (gfBits - 4)) * (2*gfBits - 1) + irrBytes = sysT * 2 + pkNRows = sysT * gfBits + pkNCols = sysN - pkNRows + pkRowBytes = (pkNCols + 7) / 8 + syndBytes = (pkNRows + 7) / 8 + PublicKeySize = {{.Param.PublicKeySize}} + PrivateKeySize = {{.Param.PrivateKeySize}} + CiphertextSize = {{.Param.CiphertextSize}} + SharedKeySize = 32 + seedSize = 32 + encapsulationSeedSize = 48 +) + +type PublicKey struct { + pk [PublicKeySize]byte +} + +type PrivateKey struct { + sk [PrivateKeySize]byte +} + +type ( + gf = {{.Param.Gf}}.Gf + randFunc = func(pool []byte) error +) + +func deriveKeyPair(entropy []byte) (*PublicKey, *PrivateKey) { + const ( + irrPolys = sysN/8 + (1<>= 8 + + preimage[0] = byte(m & 1) + for i := 0; i < sysN/8; i++ { + preimage[1+i] = (byte(^m) & s[i]) | (byte(m) & e[i]) + } + + copy(preimage[1+sysN/8:][:syndBytes+32], c[0:syndBytes+32]) + return shake256(key[0:32], preimage[:]) +} + +/* input: public key pk, error vector e */ +/* output: syndrome s */ +func syndrome(s []byte, pk []byte, e []byte) { + row := [sysN / 8]byte{} + var b byte + + for i := 0; i < syndBytes; i++ { + s[i] = 0 + } + + for i := 0; i < pkNRows; i++ { + for j := 0; j < sysN/8; j++ { + row[j] = 0 + } + + for j := 0; j < pkRowBytes; j++ { + row[sysN/8-pkRowBytes+j] = pk[j] + } + + row[i/8] |= 1 << (i % 8) + + b = 0 + for j := 0; j < sysN/8; j++ { + b ^= row[j] & e[j] + } + + b ^= b >> 4 + b ^= b >> 2 + b ^= b >> 1 + b &= 1 + + s[i/8] |= b << (i % 8) + + pk = pk[pkRowBytes:] + } +} +{{end}} + +{{if .Is8192128}} +func genE(e []byte, rand randFunc) error { + ind := [sysT]uint16{} + val := [sysT]byte{} + bytes := [sysT * 2]byte{} + for { + rand(bytes[:]) + for i := 0; i < sysT; i++ { + ind[i] = loadGf(bytes[i*2:]) + } + // check for repetition + eq := false + for i := 1; i < sysT; i++ { + for j := 0; j < i; j++ { + if ind[i] == ind[j] { + eq = true + } + } + } + + if !eq { + break + } + } + for j := 0; j < sysT; j++ { + val[j] = 1 << (ind[j] & 7) + } + for i := 0; i < sysN/8; i++ { + e[i] = 0 + + for j := 0; j < sysT; j++ { + mask := sameMask(uint16(i), (ind[j] >> 3)) + e[i] |= val[j] & mask + } + } + return nil +} +{{else}} +func genE(e []byte, rand randFunc) error { + ind := [sysT]uint16{} + val := [sysT]byte{} + for { + buf := make([]byte, sysT*4) + err := rand(buf) + if err != nil { + return err + } + + nums := [sysT * 2]uint16{} + for i := 0; i < sysT*2; i++ { + nums[i] = loadGf(buf[:]) + buf = buf[2:] + } + + count := 0 + for i := 0; i < sysT*2 && count < sysT; i++ { + if nums[i] < sysN { + ind[count] = nums[i] + count++ + } + } + if count < sysT { + continue + } + + eq := false + for i := 1; i < sysT; i++ { + for j := 0; j < i; j++ { + if ind[i] == ind[j] { + eq = true + } + } + } + + if !eq { + break + } + } + + for j := 0; j < sysT; j++ { + val[j] = 1 << (ind[j] & 7) + } + + for i := uint16(0); i < sysN/8; i++ { + e[i] = 0 + + for j := 0; j < sysT; j++ { + mask := sameMask(i, ind[j]>>3) + e[i] |= val[j] & mask + } + } + return nil +} +{{end}} + +func sameMask(x uint16, y uint16) byte { + mask := uint32(x ^ y) + mask -= 1 + mask >>= 31 + mask = -mask + + return byte(mask & 0xFF) +} + +func supportGen(s *[sysN]gf, c *[condBytes]byte) { + L := [gfBits][(1 << gfBits) / 8]byte{} + for i := 0; i < (1 << gfBits); i++ { + a := bitRev(gf(i)) + for j := 0; j < gfBits; j++ { + L[j][i/8] |= byte(((a >> j) & 1) << (i % 8)) + } + } + for j := 0; j < gfBits; j++ { + applyBenes(&L[j], c) + } + for i := 0; i < sysN; i++ { + s[i] = 0 + for j := gfBits - 1; j >= 0; j-- { + s[i] <<= 1 + s[i] |= uint16(L[j][i/8]>>(i%8)) & 1 + } + } +} + +func synd(out *[sysT * 2]gf, f *[sysT + 1]gf, L *[sysN]gf, r *[sysN / 8]byte) { + for j := 0; j < 2*sysT; j++ { + out[j] = 0 + } + + for i := 0; i < sysN; i++ { + c := uint16(r[i/8]>>(i%8)) & 1 + e := eval(f, L[i]) + eInv := {{.Param.Gf}}.Inv({{.Param.Gf}}.Mul(e, e)) + for j := 0; j < 2*sysT; j++ { + out[j] = {{.Param.Gf}}.Add(out[j], {{.Param.Gf}}.Mul(eInv, c)) + eInv = {{.Param.Gf}}.Mul(eInv, L[i]) + } + } +} + +func min(a, b int) int { + if a > b { + return b + } + return a +} + +func bm(out *[sysT + 1]gf, s *[2 * sysT]gf) { + var L, mle, mne uint16 + T := [sysT + 1]gf{} + C := [sysT + 1]gf{} + B := [sysT + 1]gf{} + var b, d, f gf + b = 1 + B[1] = 1 + C[0] = 1 + for N := 0; N < 2*sysT; N++ { + d = 0 + for i := 0; i <= min(N, sysT); i++ { + d ^= {{.Param.Gf}}.Mul(C[i], s[N-i]) + } + mne = d + mne -= 1 + mne >>= 15 + mne -= 1 + mle = uint16(N) + mle -= 2 * L + mle >>= 15 + mle -= 1 + mle &= mne + for i := 0; i <= sysT; i++ { + T[i] = C[i] + } + f = {{.Param.Gf}}.Div(d, b) + for i := 0; i <= sysT; i++ { + C[i] ^= {{.Param.Gf}}.Mul(f, B[i]) & mne + } + L = (L & ^mle) | ((uint16(N) + 1 - L) & mle) + + for i := 0; i <= sysT; i++ { + B[i] = (B[i] & ^mle) | (T[i] & mle) + } + + b = (b & ^mle) | (d & mle) + + for i := sysT; i >= 1; i-- { + B[i] = B[i-1] + } + B[0] = 0 + } + + for i := 0; i <= sysT; i++ { + out[i] = C[sysT-i] + } +} + +func decrypt(e *[sysN / 8]byte, sk []byte, c *[syndBytes]byte) uint16 { + var check uint16 + w := 0 + r := [sysN / 8]byte{} + + g := [sysT + 1]gf{} + L := [sysN]gf{} + + s := [sysT * 2]gf{} + sCmp := [sysT * 2]gf{} + locator := [sysT + 1]gf{} + images := [sysN]gf{} + + copy(r[:syndBytes], c[:syndBytes]) + for i := 0; i < sysT; i++ { + g[i] = loadGf(sk) + sk = sk[2:] + } + g[sysT] = 1 + + supportGen(&L, (*[condBytes]byte)(sk[:condBytes])) + + synd(&s, &g, &L, &r) + bm(&locator, &s) + root(&images, &locator, &L) + + for i := 0; i < sysN/8; i++ { + e[i] = 0 + } + for i := 0; i < sysN; i++ { + t := isZeroMask(images[i]) & 1 + + e[i/8] |= byte(t << (i % 8)) + w += int(t) + } + + synd(&sCmp, &g, &L, e) + check = uint16(w) ^ sysT + for i := 0; i < sysT*2; i++ { + check |= s[i] ^ sCmp[i] + } + + check -= 1 + check >>= 15 + + return check ^ 1 +} + +// check if element is 0, returns a mask with all bits set if so, and 0 otherwise +func isZeroMask(element gf) uint16 { + t := uint32(element) - 1 + t >>= 19 + return uint16(t) +} + +// calculate the minimal polynomial of f and store it in out +func minimalPolynomial(out *[sysT]gf, f *[sysT]gf) bool { + mat := [sysT + 1][sysT]gf{} + mat[0][0] = 1 + for i := 1; i < sysT; i++ { + mat[0][i] = 0 + } + + for i := 0; i < sysT; i++ { + mat[1][i] = f[i] + } + + for i := 2; i <= sysT; i++ { + polyMul(&mat[i], &mat[i-1], f) + } + + for j := 0; j < sysT; j++ { + for k := j + 1; k < sysT; k++ { + mask := isZeroMask(mat[j][j]) + // if mat[j][j] is not zero, add mat[c..sysT+1][k] to mat[c][j] + // do nothing otherwise + for c := j; c <= sysT; c++ { + mat[c][j] ^= mat[c][k] & mask + } + } + + if mat[j][j] == 0 { + return false + } + + inv := {{.Param.Gf}}.Inv(mat[j][j]) + for c := 0; c <= sysT; c++ { + mat[c][j] = {{.Param.Gf}}.Mul(mat[c][j], inv) + } + + for k := 0; k < sysT; k++ { + if k != j { + t := mat[j][k] + for c := 0; c <= sysT; c++ { + mat[c][k] ^= {{.Param.Gf}}.Mul(mat[c][j], t) + } + } + } + } + + for i := 0; i < sysT; i++ { + out[i] = mat[sysT][i] + } + + return true +} + +// calculate the product of a and b in Fq^t +func polyMul(out *[sysT]gf, a *[sysT]gf, b *[sysT]gf) { + product := [sysT*2 - 1]gf{} + for i := 0; i < sysT; i++ { + for j := 0; j < sysT; j++ { + product[i+j] ^= {{.Param.Gf}}.Mul(a[i], b[j]) + } + } + + for i := (sysT - 1) * 2; i >= sysT; i-- { + // polynomial reduction + {{if .Is348864}} + product[i-sysT+3] ^= product[i] + product[i-sysT+1] ^= product[i] + product[i-sysT] ^= {{.Param.Gf}}.Mul(product[i], 2) + {{else if .Is460896}} + product[i-sysT+10] ^= product[i] + product[i-sysT+9] ^= product[i] + product[i-sysT+6] ^= product[i] + product[i-sysT] ^= product[i] + {{else if .Is6960119}} + product[i-sysT+8] ^= product[i] + product[i-sysT+0] ^= product[i] + {{else}} + product[i-sysT+7] ^= product[i]; + product[i-sysT+2] ^= product[i]; + product[i-sysT+1] ^= product[i]; + product[i-sysT] ^= product[i]; + {{end}} + } + + for i := 0; i < sysT; i++ { + out[i] = product[i] + } +} + +func transpose64x64(out, in *[64]uint64) { + masks := [6][2]uint64{ + {0x5555555555555555, 0xAAAAAAAAAAAAAAAA}, + {0x3333333333333333, 0xCCCCCCCCCCCCCCCC}, + {0x0F0F0F0F0F0F0F0F, 0xF0F0F0F0F0F0F0F0}, + {0x00FF00FF00FF00FF, 0xFF00FF00FF00FF00}, + {0x0000FFFF0000FFFF, 0xFFFF0000FFFF0000}, + {0x00000000FFFFFFFF, 0xFFFFFFFF00000000}, + } + copy(out[:], in[:]) + + for d := 5; d >= 0; d-- { + s := 1 << d + for i := 0; i < 64; i += s * 2 { + for j := i; j < i+s; j++ { + x := (out[j] & masks[d][0]) | ((out[j+s] & masks[d][0]) << s) + y := ((out[j] & masks[d][1]) >> s) | (out[j+s] & masks[d][1]) + + out[j+0] = x + out[j+s] = y + } + } + } +} + +func eval(f *[sysT + 1]gf, a gf) gf { + r := f[sysT] + for i := sysT - 1; i >= 0; i-- { + r = {{.Param.Gf}}.Mul(r, a) + r = {{.Param.Gf}}.Add(r, f[i]) + } + return r +} + +func root(out *[sysN]gf, f *[sysT + 1]gf, l *[sysN]gf) { + for i := 0; i < sysN; i++ { + out[i] = eval(f, l[i]) + } +} + +func shake256(output []byte, input []byte) error { + shake := sha3.NewShake256() + _, err := shake.Write(input) + if err != nil { + return err + } + _, err = shake.Read(output) + if err != nil { + return err + } + return nil +} + +func storeGf(dest []byte, a gf) { + dest[0] = byte(a & 0xFF) + dest[1] = byte(a >> 8) +} + +func loadGf(src []byte) gf { + a := uint16(src[1]) + a <<= 8 + a |= uint16(src[0]) + return a & gfMask +} + +func load4(in []byte) uint32 { + ret := uint32(in[3]) + for i := 2; i >= 0; i-- { + ret <<= 8 + ret |= uint32(in[i]) + } + return ret +} + +func store8(out []byte, in uint64) { + out[0] = byte((in >> 0x00) & 0xFF) + out[1] = byte((in >> 0x08) & 0xFF) + out[2] = byte((in >> 0x10) & 0xFF) + out[3] = byte((in >> 0x18) & 0xFF) + out[4] = byte((in >> 0x20) & 0xFF) + out[5] = byte((in >> 0x28) & 0xFF) + out[6] = byte((in >> 0x30) & 0xFF) + out[7] = byte((in >> 0x38) & 0xFF) +} + +func load8(in []byte) uint64 { + ret := uint64(in[7]) + for i := 6; i >= 0; i-- { + ret <<= 8 + ret |= uint64(in[i]) + } + return ret +} + +func bitRev(a gf) gf { + a = ((a & 0x00FF) << 8) | ((a & 0xFF00) >> 8) + a = ((a & 0x0F0F) << 4) | ((a & 0xF0F0) >> 4) + a = ((a & 0x3333) << 2) | ((a & 0xCCCC) >> 2) + a = ((a & 0x5555) << 1) | ((a & 0xAAAA) >> 1) + + return a >> unusedBits +} + +type scheme struct{} + +var sch kem.Scheme = &scheme{} + +// Scheme returns a KEM interface. +func Scheme() kem.Scheme { return sch } + +func (*scheme) Name() string { return "{{.Name}}" } +func (*scheme) PublicKeySize() int { return PublicKeySize } +func (*scheme) PrivateKeySize() int { return PrivateKeySize } +func (*scheme) SeedSize() int { return seedSize } +func (*scheme) SharedKeySize() int { return SharedKeySize } +func (*scheme) CiphertextSize() int { return CiphertextSize } +func (*scheme) EncapsulationSeedSize() int { return encapsulationSeedSize } + +func (sk *PrivateKey) Scheme() kem.Scheme { return sch } +func (pk *PublicKey) Scheme() kem.Scheme { return sch } + +func (sk *PrivateKey) MarshalBinary() ([]byte, error) { + var ret [PrivateKeySize]byte + copy(ret[:], sk.sk[:]) + return ret[:], nil +} + +// MarshalCompressedBinary returns a 32-byte seed that can be used to regenerate +// the key pair when passed to DeriveKeyPair +func (sk *PrivateKey) MarshalCompressedBinary() []byte { + seed := [32]byte{} + copy(seed[:], sk.sk[:32]) + return seed[:] +} + +func (sk *PrivateKey) Equal(other kem.PrivateKey) bool { + oth, ok := other.(*PrivateKey) + if !ok { + return false + } + return bytes.Equal(sk.sk[:], oth.sk[:]) +} + +func (pk *PublicKey) Equal(other kem.PublicKey) bool { + oth, ok := other.(*PublicKey) + if !ok { + return false + } + return bytes.Equal(pk.pk[:], oth.pk[:]) +} + +func (sk *PrivateKey) Public() kem.PublicKey { + pk, _ := sch.DeriveKeyPair(sk.MarshalCompressedBinary()) + return pk +} + +func (pk *PublicKey) MarshalBinary() ([]byte, error) { + var ret [PublicKeySize]byte + copy(ret[:], pk.pk[:]) + return ret[:], nil +} + +func (*scheme) GenerateKeyPair() (kem.PublicKey, kem.PrivateKey, error) { + seed := [32]byte{} + _, err := io.ReadFull(cryptoRand.Reader, seed[:]) + if err != nil { + return nil, nil, err + } + pk, sk := deriveKeyPair(seed[:]) + return pk, sk, nil +} + +func (*scheme) DeriveKeyPair(seed []byte) (kem.PublicKey, kem.PrivateKey) { + if len(seed) != seedSize { + panic("seed must be of length EncapsulationSeedSize") + } + return deriveKeyPair(seed) +} + +func encapsulate(pk kem.PublicKey, rand randFunc) (ct, ss []byte, err error) { + ppk, ok := pk.(*PublicKey) + if !ok { + return nil, nil, kem.ErrTypeMismatch + } + + ciphertext := [CiphertextSize]byte{} + sharedSecret := [SharedKeySize]byte{} + err = kemEncapsulate(&ciphertext, &sharedSecret, &ppk.pk, rand) + if err != nil { + return nil, nil, err + } + return ciphertext[:], sharedSecret[:], nil +} + +func (*scheme) Encapsulate(pk kem.PublicKey) (ct, ss []byte, err error) { + return encapsulate(pk, func(pool []byte) error { + _, err2 := io.ReadFull(cryptoRand.Reader, pool) + return err2 + }) +} + +func (*scheme) EncapsulateDeterministically(pk kem.PublicKey, seed []byte) (ct, ss []byte, err error) { + // This follow test standards + if len(seed) != encapsulationSeedSize { + return nil, nil, kem.ErrSeedSize + } + + entropy := [48]byte{} + waste := [32]byte{} + copy(entropy[:], seed) + dRng := nist.NewDRBG(&entropy) + dRng.Fill(waste[:]) + + return encapsulate(pk, func(pool []byte) error { + dRng.Fill(pool) + return nil + }) +} + +func (*scheme) Decapsulate(sk kem.PrivateKey, ct []byte) ([]byte, error) { + ssk, ok := sk.(*PrivateKey) + if !ok { + return nil, kem.ErrTypeMismatch + } + + if len(ct) != CiphertextSize { + return nil, kem.ErrCiphertextSize + } + ss := [SharedKeySize]byte{} + err := kemDecapsulate(&ss, (*[CiphertextSize]byte)(ct), &ssk.sk) + if err != nil { + return nil, err + } + return ss[:], nil +} + +func (*scheme) UnmarshalBinaryPublicKey(buf []byte) (kem.PublicKey, error) { + if len(buf) != PublicKeySize { + return nil, kem.ErrPubKeySize + } + pk := [PublicKeySize]byte{} + copy(pk[:], buf) + return &PublicKey{pk: pk}, nil +} + +func (*scheme) UnmarshalBinaryPrivateKey(buf []byte) (kem.PrivateKey, error) { + if len(buf) != PrivateKeySize { + return nil, kem.ErrPrivKeySize + } + sk := [PrivateKeySize]byte{} + copy(sk[:], buf) + return &PrivateKey{sk: sk}, nil +} diff --git a/kem/mceliece/templates/operations_6960119.templ.go b/kem/mceliece/templates/operations_6960119.templ.go new file mode 100644 index 000000000..de6855e2c --- /dev/null +++ b/kem/mceliece/templates/operations_6960119.templ.go @@ -0,0 +1,141 @@ +// +build ignore +// The previous line (and this one up to the warning below) is removed by the +// template generator. + +// Code generated from operations_6960119.templ.go. DO NOT EDIT. + +package {{.Pkg}} + +import "fmt" + +func checkPkPadding(pk *[PublicKeySize]byte) byte { + b := byte(0) + for i := 0; i < pkNRows; i++ { + b |= pk[i*pkRowBytes+pkRowBytes-1] + } + b >>= pkNCols % 8 + b -= 1 + b >>= 7 + return b - 1 +} + +func checkCPadding(c []byte) byte { + b := c[syndBytes-1] >> (pkNRows % 8) + b -= 1 + b >>= 7 + return b - 1 +} + +/* input: public key pk, error vector e */ +/* output: syndrome s */ +func syndrome(s []byte, pk []byte, e []byte) { + row := [sysN / 8]byte{} + pkSegment := pk + tail := pkNRows % 8 + for i := 0; i < syndBytes; i++ { + s[i] = 0 + } + for i := 0; i < pkNRows; i++ { + for j := 0; j < sysN/8; j++ { + row[j] = 0 + } + for j := 0; j < pkRowBytes; j++ { + row[sysN/8-pkRowBytes+j] = pkSegment[j] + } + for j := sysN/8 - 1; j >= sysN/8-pkRowBytes; j-- { + row[j] = (row[j] << tail) | (row[j-1] >> (8 - tail)) + } + row[i/8] |= 1 << (i % 8) + + b := byte(0) + for j := 0; j < sysN/8; j++ { + b ^= row[j] & e[j] + } + + b ^= b >> 4 + b ^= b >> 2 + b ^= b >> 1 + b &= 1 + + s[i/8] |= b << (i % 8) + + pkSegment = pkSegment[pkRowBytes:] + } +} + +func kemEncapsulate(c *[CiphertextSize]byte, key *[SharedKeySize]byte, pk *[PublicKeySize]byte, rand randFunc) error { + twoE := [1 + sysN/8]byte{2} + oneEC := [1 + sysN/8 + (syndBytes + 32)]byte{1} + paddingOk := checkPkPadding(pk) + err := encrypt(c[:], pk[:], twoE[1:1+sysN/8], rand) + if err != nil { + return err + } + err = shake256(c[syndBytes:syndBytes+32], twoE[:]) + if err != nil { + return err + } + copy(oneEC[1:1+(sysN/8)], twoE[1:(sysN/8)+1]) + copy(oneEC[1+(sysN/8):1+(sysN/8)+syndBytes+32], c[0:syndBytes+32]) + err = shake256(key[0:32], oneEC[:]) + if err != nil { + return err + } + + mask := paddingOk ^ 0xFF + for i := 0; i < syndBytes+32; i++ { + c[i] &= mask + } + for i := 0; i < 32; i++ { + key[i] &= mask + } + + if paddingOk == 0 { + return nil + } + return fmt.Errorf("public key padding error %d", paddingOk) +} + +func kemDecapsulate(key *[SharedKeySize]byte, c *[CiphertextSize]byte, sk *[PrivateKeySize]byte) error { + conf := [32]byte{} + twoE := [1 + sysN/8]byte{2} + e := twoE[1:] + preimage := [1 + sysN/8 + (syndBytes + 32)]byte{} + s := sk[40+irrBytes+condBytes:] + + paddingOk := checkCPadding(c[:]) + retDecrypt := decrypt((*[sysN / 8]byte)(e[:sysN/8]), sk[40:], (*[syndBytes]byte)(c[:syndBytes])) + err := shake256(conf[0:32], twoE[:]) + if err != nil { + return err + } + + var retConfirm byte + for i := 0; i < 32; i++ { + retConfirm |= conf[i] ^ c[syndBytes+i] + } + + m := retDecrypt | uint16(retConfirm) + m -= 1 + m >>= 8 + + preimage[0] = byte(m & 1) + for i := 0; i < sysN/8; i++ { + preimage[1+i] = (byte(^m) & s[i]) | (byte(m) & twoE[1+i]) + } + copy(preimage[1+(sysN/8):][0:syndBytes+32], c[0:syndBytes+32]) + err = shake256(key[0:32], preimage[:]) + if err != nil { + return err + } + + mask := paddingOk + for i := 0; i < 32; i++ { + key[i] |= mask + } + + if paddingOk == 0 { + return nil + } + return fmt.Errorf("public key padding error %d", paddingOk) +} diff --git a/kem/mceliece/templates/pk_gen.templ.go b/kem/mceliece/templates/pk_gen.templ.go new file mode 100644 index 000000000..4b09903ee --- /dev/null +++ b/kem/mceliece/templates/pk_gen.templ.go @@ -0,0 +1,279 @@ +// +build ignore +// The previous line (and this one up to the warning below) is removed by the +// template generator. + +// Code generated from pk_gen.templ.go. DO NOT EDIT. + +package {{.Pkg}} + +import ( + "github.com/cloudflare/circl/kem/mceliece/internal" + "github.com/cloudflare/circl/math/{{.Param.Gf}}" +) + +{{if .IsSemiSystematic}} +func ctz(in uint64) int { + m := 0 + r := 0 + for i := 0; i < 64; i++ { + b := int((in >> i) & 1) + m |= b + r += (m ^ 1) & (b ^ 1) + } + return r +} + +func sameMask64(x, y uint16) uint64 { + mask := uint64(x ^ y) + mask -= 1 + mask >>= 63 + mask = -mask + return mask +} + +func movColumns(mat *[pkNRows][sysN / 8]byte, pi []int16, pivots *uint64) bool { + buf := [64]uint64{} + ctzList := [32]uint64{} + row := pkNRows - 32 + blockIdx := row / 8 + + // extract the 32x64 matrix + {{if .Is6960119}} + tail := row % 8 + tmp := [9]byte{} + for i := 0; i < 32; i++ { + for j := 0; j < 9; j++ { + tmp[j] = mat[row+i][blockIdx+j] + } + for j := 0; j < 8; j++ { + tmp[j] = (tmp[j] >> tail) | (tmp[j+1] << (8 - tail)) + } + buf[i] = load8(tmp[:]) + } + {{else}} + for i := 0; i < 32; i++ { + buf[i] = load8(mat[row+i][blockIdx:]) + } + {{end}} + + // compute the column indices of pivots by Gaussian elimination. + // the indices are stored in ctz_list + + *pivots = 0 + + for i := 0; i < 32; i++ { + t := buf[i] + for j := i + 1; j < 32; j++ { + t |= buf[j] + } + if t == 0 { + return false // return if buf is not full rank + } + s := ctz(t) + ctzList[i] = uint64(s) + *pivots |= 1 << s + + for j := i + 1; j < 32; j++ { + mask := (buf[i] >> s) & 1 + mask -= 1 + buf[i] ^= buf[j] & mask + } + for j := i + 1; j < 32; j++ { + mask := (buf[j] >> s) & 1 + mask = -mask + buf[j] ^= buf[i] & mask + } + } + + // updating permutation + for j := 0; j < 32; j++ { + for k := j + 1; k < 64; k++ { + d := uint64(pi[row+j] ^ pi[row+k]) + d &= sameMask64(uint16(k), uint16(ctzList[j])) + pi[row+j] ^= int16(d) + pi[row+k] ^= int16(d) + } + } + + // moving columns of mat according to the column indices of pivots + for i := 0; i < pkNRows; i++ { + {{if .Is6960119}} + for k := 0; k < 9; k++ { + tmp[k] = mat[i][blockIdx+k] + } + for k := 0; k < 8; k++ { + tmp[k] = (tmp[k] >> tail) | (tmp[k+1] << (8 - tail)) + } + t := load8(tmp[:]) + for j := 0; j < 32; j++ { + d := t >> j + d ^= t >> ctzList[j] + d &= 1 + t ^= d << ctzList[j] + t ^= d << j + } + store8(tmp[:], t) + + mat[i][blockIdx+8] = (mat[i][blockIdx+8] >> tail << tail) | (tmp[7] >> (8 - tail)) + mat[i][blockIdx+0] = (tmp[0] << tail) | (mat[i][blockIdx] << (8 - tail) >> (8 - tail)) + + for k := 7; k >= 1; k-- { + mat[i][blockIdx+k] = (tmp[k] << tail) | (tmp[k-1] >> (8 - tail)) + } + {{else}} + t := load8(mat[i][blockIdx:]) + + for j := 0; j < 32; j++ { + d := t >> j + d ^= t >> ctzList[j] + d &= 1 + + t ^= d << ctzList[j] + t ^= d << j + } + + store8(mat[i][blockIdx:], t) + {{end}} + } + + return true +} +{{end}} + +// nolint:unparam +func pkGen(pk *[pkNRows * pkRowBytes]byte, sk []byte, perm *[1 << gfBits]uint32, pi *[1 << gfBits]int16, pivots *uint64) bool { + buf := [1 << gfBits]uint64{} + mat := [pkNRows][sysN / 8]byte{} + g := [sysT + 1]gf{} + L := [sysN]gf{} + inv := [sysN]gf{} + + g[sysT] = 1 + for i := 0; i < sysT; i++ { + g[i] = loadGf(sk) + sk = sk[2:] + } + + for i := 0; i < 1<> 31) == (buf[i] >> 31) { + return false + } + } + + for i := 0; i < (1 << gfBits); i++ { + pi[i] = int16(buf[i] & gfMask) + } + + for i := 0; i < sysN; i++ { + L[i] = bitRev(gf(pi[i])) + } + + // filling the matrix + root(&inv, &g, &L) + + for i := 0; i < sysN; i++ { + inv[i] = {{.Param.Gf}}.Inv(inv[i]) + } + + for i := 0; i < sysT; i++ { + for j := 0; j < sysN; j += 8 { + for k := 0; k < gfBits; k++ { + b := byte(inv[j+7]>>k) & 1 + b <<= 1 + b |= byte(inv[j+6]>>k) & 1 + b <<= 1 + b |= byte(inv[j+5]>>k) & 1 + b <<= 1 + b |= byte(inv[j+4]>>k) & 1 + b <<= 1 + b |= byte(inv[j+3]>>k) & 1 + b <<= 1 + b |= byte(inv[j+2]>>k) & 1 + b <<= 1 + b |= byte(inv[j+1]>>k) & 1 + b <<= 1 + b |= byte(inv[j+0]>>k) & 1 + + mat[i*gfBits+k][j/8] = b + } + } + + for j := 0; j < sysN; j++ { + inv[j] = {{.Param.Gf}}.Mul(inv[j], L[j]) + } + } + + // gaussian elimination + for i := 0; i < (pkNRows+7)/8; i++ { + for j := 0; j < 8; j++ { + row := i*8 + j + + if row >= pkNRows { + break + } + + {{if .IsSemiSystematic}} + if row == pkNRows-32 { + if !movColumns(&mat, pi[:], pivots) { + return false + } + } + {{end}} + + for k := row + 1; k < pkNRows; k++ { + mask := mat[row][i] ^ mat[k][i] + mask >>= j + mask &= 1 + mask = -mask + + for c := 0; c < sysN/8; c++ { + mat[row][c] ^= mat[k][c] & mask + } + } + + // return if not systematic + if ((mat[row][i] >> j) & 1) == 0 { + return false + } + + for k := 0; k < pkNRows; k++ { + if k != row { + mask := mat[k][i] >> j + mask &= 1 + mask = -mask + + for c := 0; c < sysN/8; c++ { + mat[k][c] ^= mat[row][c] & mask + } + } + } + } + } + + {{if .Is6960119}} + tail := pkNRows % 8 + const innerPkAccesses = ((sysN/8 - 1) - (pkNRows-1)/8) + 1 + for i := 0; i < pkNRows; i++ { + idx := 0 + for j := (pkNRows - 1) / 8; j < sysN/8-1; j++ { + pk[i*innerPkAccesses+idx] = (mat[i][j] >> tail) | (mat[i][j+1] << (8 - tail)) + idx++ + } + pk[(i+1)*innerPkAccesses-1] = mat[i][sysN/8-1] >> tail + } + {{else}} + for i := 0; i < pkNRows; i++ { + copy(pk[i*pkRowBytes:], mat[i][pkNRows/8:pkNRows/8+pkRowBytes]) + } + {{end}} + + return true +} diff --git a/kem/mceliece/testdata/testdata.go b/kem/mceliece/testdata/testdata.go new file mode 100644 index 000000000..c2352183b --- /dev/null +++ b/kem/mceliece/testdata/testdata.go @@ -0,0 +1,129 @@ +package testdata + +import ( + "bufio" + "encoding/binary" + "encoding/hex" + "errors" + "fmt" + "io" + "os" + "strings" +) + +func FindTestDataByte(searchKey, path string) ([]byte, error) { + file, err := os.Open(path) + if err != nil { + return nil, err + } + + reader := bufio.NewReader(file) + for { + line, err := reader.ReadString('\n') + if err == io.EOF { + return nil, fmt.Errorf("key %s not found", searchKey) + } + if err != nil { + return nil, err + } + + line = strings.TrimSpace(line) + if strings.HasPrefix(line, "#") || line == "" { + continue + } + + var key, value string + for i, v := range strings.Split(line, "=") { + switch i { + case 0: + key = strings.TrimSpace(v) + case 1: + value = strings.TrimSpace(v) + default: + break + } + } + + if value == "" { + return nil, fmt.Errorf("value is nil for key %s", key) + } + + if key != searchKey { + continue + } + + data, err := hex.DecodeString(value) + return data, err + } +} + +func FindTestDataU16(searchKey, path string) ([]uint16, error) { + data, err := FindTestDataByte(searchKey, path) + if err != nil { + return nil, err + } + + if len(data)%2 != 0 { + return nil, errors.New("data length does not align") + } + + out := make([]uint16, len(data)/2) + for i := 0; i < len(out); i++ { + out[i] = binary.BigEndian.Uint16(data) + data = data[2:] + } + + return out, nil +} + +func FindTestDataI16(searchKey, path string) ([]int16, error) { + data, err := FindTestDataU16(searchKey, path) + if err != nil { + return nil, err + } + + out := make([]int16, len(data)) + for i := 0; i < len(out); i++ { + out[i] = int16(data[i]) + } + + return out, nil +} + +func FindTestDataU32(searchKey, path string) ([]uint32, error) { + data, err := FindTestDataByte(searchKey, path) + if err != nil { + return nil, err + } + + if len(data)%4 != 0 { + return nil, errors.New("data length does not align") + } + + out := make([]uint32, len(data)/4) + for i := 0; i < len(out); i += 4 { + out[i] = binary.BigEndian.Uint32(data) + data = data[4:] + } + + return out, nil +} + +func FindTestDataU64(searchKey, path string) ([]uint64, error) { + data, err := FindTestDataByte(searchKey, path) + if err != nil { + return nil, err + } + + if len(data)%8 != 0 { + return nil, errors.New("data length does not align") + } + + out := make([]uint64, len(data)/8) + for i := 0; i < len(out); i++ { + out[i] = binary.BigEndian.Uint64(data) + data = data[8:] + } + + return out, nil +} diff --git a/kem/mceliece/testdata/testdata.txt b/kem/mceliece/testdata/testdata.txt new file mode 100644 index 000000000..e0f07ae7d --- /dev/null +++ b/kem/mceliece/testdata/testdata.txt @@ -0,0 +1,163 @@ +## Testdata: contains binary strings used in unittests +## +## This is a UTF-8 file in a custom file format. +## Empty lines and lines starting with “#” are ignored +## Other lines have the structure “ = ”. +## is any string without Unicode whitespace characters. +## is string of consecutive hexadecimal digits with Big Endian semantics. + +sanity_check = 01234567 + +# generic strings (used in at least 2 files) + +mceliece8192128f_pk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+mceliece460896orlarger_benes_apply_benes_r_after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bm.rs + +mceliece8192128f_bm_first_round_s_input = 03700F7815FC18531FD400C51EEE07ED141D1B901FAC195C05B615A10D101324084B0166136C15C91133184D1C890F4F0616092004BE07871B940EA10AD31A0E0EA71CCA042A1BAC1D1913F7009719220D051F8106F119731450035F0E58146A1B0A162817D31153167B0BA303FC1AC4121E0BD10B1F1B170391015E1546131911E6192901EB1E1B152805B20B061F0419E50DF711F40A2D1ED4002C0AAC14550E641111171812EF152219FE18E61CD608BF18B01A25132F09E10A550B7F1FDA11840C6A0CA81FE808F11C391B6C19AC17E4182D05CB02601BB9086307690E2E01E9030E0C8B0CD516ED182F074E107C00341C5A18FB18C401C6094819E0163F05BA04310ED9130D0DD9067204F209E71FEA04BC0922053F1458078001B700F507A803E716F219FA0B31128C04AE0FBA0822180906FF0AF81D3B0BDD0C9A1DFE01621A8D0B0C13BC0E9109911794129E0D771DE31D9303D01F1106DA161F1FA41143008E0FEF1DC60693077F0C631C9B0D9D19A4032B18420EE4180404EC1AF10D880614178E01301753023110A4014916F60A290CB514BC11091CD20BFD081E0C1A1F340D9B107D1D1D10F00F630F7906D1112A106B10310952183D017D0CBD050507DA03DC10C8150206691A491F40025F11C417B101EF15BE0AF3060E17F30F7C19861E0E11521FA9033D05240E69032E16080BFD05A81DA10BC0179409C9 +mceliece8192128f_bm_first_round_compare_array = 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 + +# controlbits.rs + +controlbits_kat3_mceliece348864_pi = 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+ +# crypto_hash.rs + +shake256_digest_expected = 0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000037512C5504BD01072884677F61A719E370C6A242B06DE6A9EED3B4870EC75E7300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 + +# decrypt.rs + +mceliece8192128f_decrypt_errvec = 0200084000000000080000000000000008000000040000000080000000000000000000000000400000800010000000000000000000000000000800000004000000040040100000000000000000000000000000000000000000001000000000000000000000000000000011000000000000000000000000000000000000100000002000000000000000000400400000000000400000000000000008000006080000088000010010001000000000000000400000000000000000600000000000000000000000100000000000000000000000000000000000000810000000080000000000000000000000000000000000000000000000000002000000000020000001010000000000000000000200000000000000000000000000000000000000800000800000000000000000000000000000000000000000000000000000000000000010000000000000000100000000400000000800000000000000001000000000000000002000000220000000000000000000000000080000000000000000000000002000000002000000000002000000000200000000000000800020000008000000000000000000000004000000200000440000000000000000004000000000000000000000000000001880000000000004000000000000000000000000000000002000000000000000000000000000004000000000000000040000000000000000000000000000000000000000000080208000000000000000000000000000000100400000000000000000000000000000008000000000000000000000000200000000000000001000000000080000000000000000000000500020000000000000000800000000000000100000000000000000000008000000000000000020000000000000800000000080000000000000000000000000000000000000000000000000000240002000000000000000100000000000000000000000000000000000000000001000000000000000000000020020000008000000000000000000000000000000000000000000000100000080000000000000000000000000000000000000000000000200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000900000000000000000000011000000000000000000000000000000008000000000000000000000000000040000000000000000000000000000000000000000000000000000000800010000000000040000000000000000400000200000000000000000000000000002000000020000000000000000001000000000000800000000000080080000020000000000000000000000000000080020400000000000000000000000000000000000000000000000400000000020000000000004000000100004000000000 + +# encrypt.rs + +mceliece8192128f_encrypt_ct = f220f073d58e77c3af5c366c94cedff259e4144c8fba8ecbf833582c2922429431d7bcca15d587405cf646411ce113950de7b15e92acff8bdb99385be1917f7ee68cba58c32505282c568d67ee29c84b07988c9d4d02cd5a21544a3050d24b7001b3232fbc534f2033ab7a10ab4e5c816a0ce7b1fbdb46d2dbb5fac934bcfa57c675265564af3400ea4dced7e68bedb0af4c52a25bfba6be2162aa7adb8ef685efbc119407a6938af904630b7e755a9d2f7496f06129ee7538d09144107bd51bc725d6d5a73f419d8277bbc195ff4c7f0000000000000000000000000000000000000000000000000000000000000000 + +# operations.rs + +mceliece8192128f_operations_ss = EC35D8E55EB7ACE9866694FC0915402EA0720A85C5A3DB8A93D627F0432A452E +mceliece8192128f_operations_entropy_input = 061550234D158C5EC95595FE04EF7A25767F2E24CC2BC479D09D86DC9ABCFDE7056A8C266F9EF97ED08541DBD2E1FFA1 +mceliece8192128f_operations_enc1_ct = F220F073D58E77C3AF5C366C94CEDFF259E4144C8FBA8ECBF833582C2922429431D7BCCA15D587405CF646411CE113950DE7B15E92ACFF8BDB99385BE1917F7EE68CBA58C32505282C568D67EE29C84B07988C9D4D02CD5A21544A3050D24B7001B3232FBC534F2033AB7A10AB4E5C816A0CE7B1FBDB46D2DBB5FAC934BCFA57C675265564AF3400EA4DCED7E68BEDB0AF4C52A25BFBA6BE2162AA7ADB8EF685EFBC119407A6938AF904630B7E755A9D2F7496F06129EE7538D09144107BD51BC725D6D5A73F419D8277BBC195FF4C7F3EDD086216C90F28C78E03C496B56E6659DC95C5F7C51A371D36BAD9BC1757C2 +mceliece8192128f_operations_sk_expected = 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C3114D7AEDAEA172F2F2523E0B983C65D2E14715FDF54BE6EB7064FA1B64A26AA30D0D4070FF791CB3FCF18EC94D598B02E25A2EF0E89442525FEA37F562EEAAB90BCB5F0306B3FDFAA6DD513CF7D9B0F312C4107DF440A73DCC103648A0F1F7E54B0C14D1001010C91D1E4621076D1DB492846168946F62928E021338C018CBFE8CA2C6152BACC7A289222706D7981717C0BB98708F8BB63DCD8C304EE5E1AEE1FC2E01647E7485CBFFBC5C0619B4522E20FC9ADA77683DF0C55DDF4D704FA6EC4C1924EFDB1A55D54284FFA8147F0E5FE05A25B165E41C7A385B472909CD808CEFA1A531ACED52AFA411B22938517C1732F2703D3C12A6900A06B63407B7AC95D04350C30393B083A34ADE63283EC5B85969322487C418B0C3F7048F2CDBCAA7E86E977CBA4FB0E4471500F12BCAD2AF6C39C9DD9583EE45C16C50CE242724DCC4F051CDDFC50A68782594F7FC06F924A9D04E91AD948184E7F51C20D368058928D9E8AA283AAAE8B8DF4CB4EDD3E50FD0A680C6E1E4F717F60293B1E76B76CEB98A790A92132F61746251563FA23EC711452E672C95CC374C80E9858DA89BEABB054B842491877C928DC4FC93DF7F196B3BF82CB0226D666F934F71212ADACF7CD946A917C611E792DC1A0AA939ED43C52AE0EDC6AF0DD59DB882012858CD8C236B6F21D4A477D610DAA2AC6822DFDC66FE6A9CA6CEDD93672F3152362B4173CE52D2685797605DB027061D3903FD31A6F3D95EEAB015CDF0A587E2322D3866F8E6842FABA2C3C3FE0025CA277B45C1AAEE29588F88A2301EB0CEC5F8B36A5FD22DA4A7A77C34ECBA768FAE5CDC05129906221A5F3A4B18486CDD8BE169D57B3031E805805897073091ACD3F9AAECE98F3DA8F0AD61A71F41C22D0DCBA72758D7CFAB46F239EC1390A79ECB875F8C55CC7BCC6C80B6D1541E5A485195D6D4EB897C89F94028BEDBE32C90647026D6372F9B7A71988A841EA9C01108F9A07CEDE71FA362A596CE44303A10D41CE6F15A0ACE3EE67EB7E19EF89BC1B52968502E2EE295067EF3CF782CBA5E0ECDA28EE11DE17FA1B945ABB3DBC1032C81A63EEA44A498F6FBFBE9B759A3339F7299578B24E5085A5AA944278E8731D968599E69F718DBD6C7980CFDFC4E7DAAECA0A5D51140313E72F93027FAFD1C85257430D98222B4F135D0F8864E0FC21E2CF9D3C40ABD86122126145CD2EE5871B2B2A7EC1874CB0E2B2F7F3064C5C026FE40A643113CB1F1448561BDC4E0E1F05041C89F1D6BD19D7090195D205B5267D22C7AA7CA6F4E0D4C2D88B7FAF2739F5E9E382A8FDF5907F67AAB8528345798DC77241340F02670392D4AB59DFBCE45D323EC5E82E0532C36CA8439130EF47FB0FFF450EE3FE2C67FE03B8FB4E18FF1AE2E4C291583CD0962143CCCF0E4CE1212E538DBDC8EEA53ED96970C4595DE063A8DB03AC25516C26CCFCB44CB54F248B8EF6A49423BD0FB34A30CEFEF1B9D65E16A2AC1EF290F72A700F59A604E5EDB21BEBF023088DD5A01B87BB3B9B03AF1AD22BE05E496DE0854EDDB5F7A95FF1894CE519929033881E1F14882133C4356D89D5998639CCFEE26046041BB2BAF1B4362C51CDE82E096553FDE3193513219BEE7749A22EF221C1C74C13DEBB2C84AC027D0C0066F57B0528DFDA78C555FBA5C775FD689980442950A9B9287B6DB8F9A1C39992967EC0DA07D4F35CE6C525A68C4FF04B5FE4F8B7ADC9108399ABCC13B2F4825F0B737C8BCCA1560DC27D311E4E11DB39F93EC6C904FA6F2ECDDDCD555E17934187139B6502F1B4A7B4148E1B0B22688C5A5379C8B92842CB5B72488C1D8EFC16B184BDC7C66C6903A37A2898B163DC9B3CD6B5B6C7FBE3FD8B45E509EEFA63447674523F714393A67230C39B533AF137FAFC4DB74EF53EFED946A8339F5BCCEEE02CD3FCCF92E1473EED9C8B4636E5CF35B6CD1EFFE49E40CC5D7A29D5FBCA6687B83EF2F9CDD67FB53D3B30CDF40C2370BAD4B852CA8804723296375C7E706C2E27F25F0689543BB6C07D82A75D99AA4D84E6ECC9A2F1A576CD3EA5654347D4F9DA22A8B6C113CC361D0610BFE4E4F51731B68EF1DD91A9B04DDB92FA57F8E4185E3130EB37E4592B292393D57749BF67964E278355A9CFC567E1D16AF01118F79F162D9282E3D52658F5FE7D6DD46B7F9DE3EC5B6955707AA0AFD71DC729DC5A6A5BD5F731BB8E1C10EB5C5C0B70D007B465E6AD469C8AAECC97527CA6FDE1F7188A04459B6062C46D3B2B8E1D139F59D63B505F657A885646D848CC5F4BC09619928B7DC41355D1B6221A769E033DA09103FD1B634338151B016632FFFC0EBFFCE39B917BD5C7A6EC6C6A34028EA4BBB5028230BE68F50DE5FB6610337912ABB59124B5BAF63ACAFF2EBB9BE90B4FD6EBCD229F30D8F01DF1312C682D0F5B8FA09087EBDB6DB6E9454AA2388F74631FAFB00DC3452D8D3CB62BD9126714D72E9959EB1A4203BF70B89A7399F1ABD697F443216676DB528FFE71A3B50F1C0AA3A665320B353DA289C3086EE5BECEBCA214186213A8788B3E4774FAA9E0F53CC29A3E4975A634C33C162E5D0D153B90FB0F85D622AFC3C04055754A9C41308B831B6487BA823B50987A0D111E48B8ECE3905DFB764B68C3376F966AB0D64941FE51BC5874E38B76872D3D36BEFE04A729614B049010E04EEE3DF6605ECBB384F189B481F9FA8C79E10E292241A8E87DF4934B17467710EA34319C7DE896277C494FD068B37E269A5B8A9588C551E7744B3AB3D8AFF6ACC51ECF49E896414244E3C9FA0E9946FBCBD7FC67FDDC90F7334853BBB710855F874B3EB1A23CB0CB04218E6FD07BF2103D148F9285E4F9C48BF6D8877B09A7C72BBDD25C73F2A9A788446F49FC3B8CC1365CDE8F8B652ABE8B04B9A063B9A043F0A8AF598AE6610CBD25F4B438BD485AD6A3CFB8B6CC34A36A6AC3860DDEF6098A65BDC2CC8882741349AE5F74DF366BE9706704E0302D806454E76F67380A513CB24F9D746D3D553FC0F0F78C9D40E2EFB422CBC4E98E9B8AD8A70D5952DFC15A39FB093A65809ACF17C348867B0A60BDA3E41703262A5B78A81216C6EE4A64FB388487D68E3D4BC7714CCF22D72573FD7762F02F30B82D1BD27B6A230097A856D6C5ABB8EB295459C64D8760D7F8AA586AC175DB1A8908C6430B7D6A8850E759A7DC5312B14ECC722A34B412850F1DD75A374093D73B3E0755D2DCAC9E591B103DB51EB6C9C577831E870FFC8A8AAF5F43ECE8D16B34AC4BDDB4E3F749B1E8287015A51A69FCF237B2DA560EBACCBAE621E73402BAA54B0D4474D1C50AE5FC31EE715DBF0D71EC88C871A9D0F32C448EA3C1D5B3C6F632AA22BCBE3D2E96544539709A5CB0A5C10A0D1E90284D40AB861E9A093C47014638D61DC3338F2315A14EF70EFAC504F7B89DCF4D45276B08F7C370789ECC6133A689D83510E8422EFA2B809EA8628778E69ABD4C9479D08BB8DC204F0BC0F6698598FA909854BF5A4F5FF417C7B4CF3B22DA6D5509515E7DE45141ED51019737DE070E3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0386AC168868F6BB420C731E1261FCEAC7390A5EACDCC7085F8426C44DB19CBC4132FD3297F59D28392A35242F1BDAF1062E98420DDA6A14FDD29D33C475C693916FED230A2016C8EA49579C513B72DA86BEE9D09FFC2E556FB5030BBDC3DA6B4A7AEA91DAC8DF32D57AC47C6887DE798AC7BFB791CAB5367A0FB5FD4AAE27459B5255B793B7B31E4AEF9D73C17C5C87D683A794F1E61937ADBFAEA49391A8715A490F34F1279AD2BC0C7BA05566E8B4167CD4039DF603911FC368C1EB09CC30BDFF2B2A0AEE3C51C38EBF58F1B0558079ECE3BFAAC13BD0B6D8CB8BEC8490E567D0FF347E808D5D64EF9D216BC0736CBB8CEDBD910ED4B75E10B47AC1290A5D67E0C51762F537F40E02C0F8CF83F3EA853E8C685B68477E4ED74FC81176F2516EB7B2EF8251948F7A9482BA982235FD1332FCDCB4DD9EA651E9F0ED6432C3D284F7BE3A2BDDA126A7789318FBB1BFD5B3A26DCF14049B39A5D1DE21A8962A65DDEC6BCB9769EBE2A88CDDD7F618340B0B834E080211149B1608653C38F0264B813FD16BE7E38804CB4CFFCDE0C7608E88827172998B5EFAB1266D4057C5ABA44957D3A1873EAC7E80EF8B81670EFD646536985727E5A1B3A249989E91BC4E92ABE759CC621E2B5CF9E72A9EFA36F2E451AD7629C2919F64643D924E205FEF4ACB7E71136250BA3F861919EDF7F1BB7780950E0E580C5729A4847D604AF196B6B6BA79FF94EB73CF943369A4D66F320E54BF9357DB5B727B1EDC3836DB2BACFAB5A41C35A7BEFB009E76537CA5B66122EBC71A5CF6E3BD5E60B4FBBB38B5BFE7050C0CE546F686F2F643EE276EC9A1F73FFB2C35D9619B2397956246A35958F015E4B8AFD3FAB8E80803484980ADFFB960A9D5C9D72B240CC790ED1875A95D399129FE213757F3D965B788948E32A045399A1F911A46D8640F79AED0AAE3506ACE40D88F33231CDED428B2A132701D44E649A15DB77BFC4ADCCE4320E9FFE30258C870E500ED245AD8254134036B7273C424F8E0852407055699994CB053A39F774454839BAF7CD851AEF23294AA1AB81A3990ABE1B067EC7C3A7765F0175C15732BF9E588D83668F5DC5AC87CCDD184B970DB41DB9CA96D92204BAE2478F51DDC13D270C741F3D68FBC0BEF895FC0B6A6E8D7DB8172DDDEECA9A64F02AD74101B853030A29F3284240AE3B3F01B7EB3D4FC1AA27832D1FDA84B4E28D34FD4499FF7C91801706AD5757DF32DF2033B669BFF170CBD5B7125532DE46C340C89B3503C2BC1D795D3A3E74337DDF43AC0BD733BC10FE9079D27AC436EA5A1DA944F50183BC1360088165FF2CF3BBF91ABB0F8C5CF33E66565D9769A9B29F08554A1966999B756FDB60CB7890F84E76B42239C7AB0CCDB5249F4E6D115C9F6E07087AD0CE47147029804AC49B10E4A0123CFCC5EA218DADBCA4BEA63377F4BBDC8C2793BC6BB2547E52295758D66DBD47284CAF986B85F9CA21D014EEBEB54F87DFCB6A8E6D4995B86CB9E396C95585A4790B44A0AEE9B4EAC2A5D811A01447B0264B670C82D0B9396D7E9C456934904BE5D55BF5934FFF30DD48A5B742CB09C392CBD37F1D366D0415FD281CB7484DB76F093365DFCB49E93218A017786F9A185A46655BAE666F4E8AA77BF1E523225336E3941B9970708FD85A3496167BE19F56510349B942D9E9BE5CAD94203F54FB19BECD7C9DE053AEFF23AE207E5CEF43D80049943EEE5279D0617D44FB1F93E20237C8A4662F0FDE2BB5BAB7DE549EE1CA7742002C1D4B51A3FDFA0D3177110DBD8837992B211C89A2CB52D43CDE86D53BC09BB83E338DF6ADBEA650AFEFD968E3A1BE33431F6C1654F0C8BCA7F6F46117CCE6A5478263C44D5756E77D38175C18EE7F72072EE7A9FB1208CE7C036735DA8CDCAFF84F91D7F17844CC7155B9E746500D4F187801FB18DF222A99B912ADE6AEA55FF970C62CA43B1D3C417197BDD783F57B1DE734BA0F5D477BF5C1B6A5EDB9A522ABD8EF386C4678B5A314FE238383AD952F3D0A9483CB4CDB258D6B898816714B0D320F60105DF02629ED45434F9A7F157BD02580907BBC6777A2FC1794A59724CEB8D4BE4FFFF06463175AE618BF2AB5A230B13A8C515C474BA1E0FF90E37D756105F5B6F2093E05E96C4F4D27731590F588FA38814653C2DFD56DAA6C495B41E52710686BB712F6E5905AA90C9ABFF113AB9B1321665C76CE81748518D48327FB3CC8648CBABAE4F4720D28690A0C2A0CA6F64BEAF2BC796F6FACE14BC4124034D91FCFB96C8503087C25136E605AA5CAB8D0C560C32E0A11C119E922FDC5FED5D4637BDD2A93B9DDA3E105F095A7E1B6E86DA90C1AE1C11D33639ED58051E422B2839DA9BD677DDA6E5110B072A4D05CE6DBDC3B3FE5FCBABC259B218F39B8E65E42EF60D5798F0F19D6B9E53EF5BC582DD42B8F60AA8F6AA72A0A3FA7A8E32752F169346991EA6232C100B92EB5ECED28CD253B989A6C7F753A88C51D010BD49261CC1A334205B132FAA9351F8CAD633167646F535373579BB3F1B8F746B3504937DB6E7CBF27C591FAF8F366CA1D8513662B9BF9AAB1FA277B710113E02907D88DB534FB225E21586DDB781A46404072333C9C3B3D2EA44C69E350D9363C6BD9D27CF7BE58B869F6A3A796A7AFF9BA5D3E8F450CE055E6F0BDF4248C95B5390DD90079659AD2012C0DA70B99D21B708768D167AE4C925BAEDABC824A9652B73D8A364DD34FBB4A085ED758FEBC741D80E5DB2BDEC05B45683229D9302BD45F9438B91F75BF3C0CB2365B13D3AE61322BCF55D2CF2C70BAB32579DA4C498226EF235D1FD4D1BD8978CB8825AB4F43E98B45CCA07C00D6560883F2CB2C5F7EE81DC4D7078DA9320F45DC20EDDD0BB19495C0451F08AABD07350499920878974385756F1DF67B725F86D350D23253B6868D218EB77563D57B9F749625B3D309FFC3292976DC6996653CE73E8ABBC8DDC1407CFD6184291385761C5B39CFF1867106EE38ED4A8184440060B4A33B9F12ED123FD34BF010107F557F7A4FBCB004E6E15C7EB688A5935EFC5880E8EBFED13DA0E6876BB01628D8713020566C4046ED094BE630B4B4AD3168E6B86E973B312D452EBFF70D5ACF743F0428B4AFB4710C794A8FDE3067200656216B3ABA5652A176D9DB2CFF164248194A3E1B6535D3AE4D5FCA3272DF348CEA3092773425E633A2FA2354B68C816DA7B7FA9BE18E1C6EC2AB36B2EE28325B9DACDD9FE64A46FD25ADB7B7004E7374105F8541B83E1580C2CE5078CBE7E5BCCF5F5E1BF9949EC1F20F1C907631A56C72144D89B20C664CA68398596370457F085F10F630CD0D110573E775F9994CFE084ADE6D8620EF31FA7AEE19AFC5D880C8BFF2E69145645FEB8A7033D85FB4B47DED791E7C6E6AA9B936F5EC5CB4E5DE01B742384D9BBA8899DB960A6983AA14DE99FD08BF255BCE7574DC362DA6664286269F049527238783B2CDE68F1A16A4207B219C71A97A1DE89D9AD85174123CA6E55A88F2450F7F00F3B8E1DFB2111B4F3CB0C58A45FB7993A94534C1ABCC96D84C3832E50E59DC5BA8974F9A738852716BEE3CB6CA5D30383E87C442752EBB7DE9CE69CA334518260292C3B33FAAD0349CA7E4992250721C38AA731AD5A533BA0980B0CA20BE46898BB91B3D95AA0220C20104FC00CCEACD9B5CD5478D2801D192EEEE25C4DC33E3883B6CCF67E4E387AE06DF8AFFB4534D830D0305C24725ED0D67410B0468F1440345F651849F96C8528BE4CAE50CAB29ACA1B7D20793343FA5993D05B93B44B9EEB8570B52008750CC1FD6E5ED3EAD702F401D384E6C89EBB118666CADF1D6178E2861293BA512E66B28211078875578DF65B00330D6A114EC817D70677A45522687ED7A3D607D187227DC73BBC53BB2F8B1C29A854C1459D28133F582DEC460752F9D96B5220A5510D30C61BC7DD3442484365B56442E350AB52816D6D2B29F4DD50EC86FD7978B6FCB27914A090300573F5BB + +# pk_gen.rs + +mceliece8192128f_pk_gen_sk_input = C70DD8127B1EA31D7E08E61CC4081210750C0109291D3302C80C6D04421AE90421186B0ED60B4C0BB10738127C17BE084003C60E7D0FCD0CDC0A71108517D51A4818041A591D391D7F07A206F504DF1053070B0C220E0B064A17450E17148C187515100A731D6D0A990787167D18090279195A1075021F0063017D16BE12BE14400A1D0D571A4A007B1DA8047B0D95153907F3056F0F400DEE15381FA90C56053E06EA19AB19581DA40F3300C305DF05D70B5816231EE8184E066818F511C619D0044E1687047F100D131E19EF06A711B609D2192803FC0BA20F40107801A61FD81D7805A01C4508B50352051F17F2135A111B0A921806070001341ADF17291A +mceliece8192128f_pk_gen_perm_input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mceliece8192128f_pk_gen_sk_expected = 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 +mceliece8192128f_pk_gen_perm_expected = 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+mceliece8192128f_pk_gen_pk2_expected = 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mceliece8192128f_pk_gen_sk2_expected = 1719D81D950552155416C10FDB036A1EE7148315BB18D01B5A0A830D0A1740113214390809134410061C070C020A9405340264004A03CA0BE31B2002BD19E217D10A3404B2167E05E60F8D00E41D5E1D230CEF080B1F1410181DC20CC514CA00F61DDA1B62007F17E208CD0B2C05F8084F042911C90C1E040506F317CE0CA5067D1F1C11730A00086A1D280DA0099A07B1166F13A3114017B417840A6F17ED0A8A024714FA0E5C110F0382057B03420E1D0BF613D61FB70F1E14EA1AC212A4036709A014A607AB104113BB11A314D908B1053E03E30B05064E1014069205891DC110A91499151E166517A41C2E084B145D09AA1FFC019414F516470BB716331F +mceliece8192128f_pk_gen_perm2_expected = 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+mceliece8192128f_pk_gen_pi2_expected = 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 + +# randombytes.rs + +rng_ref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rng_ref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root.rs + +mceliece8192128f_root_inv_expected = 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 + +# sk_gen.rs + +mceliece8192128f_sk_gen_genpoly_1st_round_input = 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 +mceliece8192128f_sk_gen_genpoly_1st_round_output = 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 + +# synd.rs + diff --git a/kem/schemes/schemes.go b/kem/schemes/schemes.go index c6c3c4a32..ab1dca92f 100644 --- a/kem/schemes/schemes.go +++ b/kem/schemes/schemes.go @@ -26,6 +26,16 @@ import ( "github.com/cloudflare/circl/kem/kyber/kyber1024" "github.com/cloudflare/circl/kem/kyber/kyber512" "github.com/cloudflare/circl/kem/kyber/kyber768" + "github.com/cloudflare/circl/kem/mceliece/mceliece348864" + "github.com/cloudflare/circl/kem/mceliece/mceliece348864f" + "github.com/cloudflare/circl/kem/mceliece/mceliece460896" + "github.com/cloudflare/circl/kem/mceliece/mceliece460896f" + "github.com/cloudflare/circl/kem/mceliece/mceliece6688128" + "github.com/cloudflare/circl/kem/mceliece/mceliece6688128f" + "github.com/cloudflare/circl/kem/mceliece/mceliece6960119" + "github.com/cloudflare/circl/kem/mceliece/mceliece6960119f" + "github.com/cloudflare/circl/kem/mceliece/mceliece8192128" + "github.com/cloudflare/circl/kem/mceliece/mceliece8192128f" ) var allSchemes = [...]kem.Scheme{ @@ -38,6 +48,16 @@ var allSchemes = [...]kem.Scheme{ kyber512.Scheme(), kyber768.Scheme(), kyber1024.Scheme(), + mceliece348864.Scheme(), + mceliece348864f.Scheme(), + mceliece460896.Scheme(), + mceliece460896f.Scheme(), + mceliece6688128.Scheme(), + mceliece6688128f.Scheme(), + mceliece6960119.Scheme(), + mceliece6960119f.Scheme(), + mceliece8192128.Scheme(), + mceliece8192128f.Scheme(), hybrid.Kyber512X25519(), hybrid.Kyber768X25519(), hybrid.Kyber768X448(), diff --git a/kem/schemes/schemes_test.go b/kem/schemes/schemes_test.go index 91fd1fea4..9e1a54d23 100644 --- a/kem/schemes/schemes_test.go +++ b/kem/schemes/schemes_test.go @@ -155,6 +155,16 @@ func Example_schemes() { // Kyber512 // Kyber768 // Kyber1024 + // mceliece348864 + // mceliece348864f + // mceliece460896 + // mceliece460896f + // mceliece6688128 + // mceliece6688128f + // mceliece6960119 + // mceliece6960119f + // mceliece8192128 + // mceliece8192128f // Kyber512-X25519 // Kyber768-X25519 // Kyber768-X448 diff --git a/math/gf4096/gf4096.go b/math/gf4096/gf4096.go new file mode 100644 index 000000000..bc4b9db35 --- /dev/null +++ b/math/gf4096/gf4096.go @@ -0,0 +1,83 @@ +// Package gf4096 provides finite field arithmetic over GF(2^12). +package gf4096 + +// Gf is a field element of characteristic 2 modulo z^12 + z^3 + 1 +type Gf = uint16 + +const ( + GfBits = 12 + GfMask = (1 << GfBits) - 1 +) + +// Add two Gf elements together. Since an addition in Gf(2) is the same as XOR, +// this implementation uses a simple XOR for addition. +func Add(a, b Gf) Gf { + return a ^ b +} + +// Mul calculate the product of two Gf elements. +func Mul(a, b Gf) Gf { + a64 := uint64(a) + b64 := uint64(b) + + // if the LSB of b is 1, set tmp to a64, and 0 otherwise + tmp := a64 & -(b64 & 1) + + // check if i-th bit of b64 is set, add a64 shifted by i bits if so + for i := 1; i < GfBits; i++ { + tmp ^= a64 * (b64 & (1 << i)) + } + + // polynomial reduction + t := tmp & 0x7FC000 + tmp ^= t >> 9 + tmp ^= t >> 12 + + t = tmp & 0x3000 + tmp ^= t >> 9 + tmp ^= t >> 12 + + return uint16(tmp & GfMask) +} + +// sqr calculates the square of Gf element a +func sqr(a Gf) Gf { + a32 := uint32(a) + a32 = (a32 | (a32 << 8)) & 0x00FF00FF + a32 = (a32 | (a32 << 4)) & 0x0F0F0F0F + a32 = (a32 | (a32 << 2)) & 0x33333333 + a32 = (a32 | (a32 << 1)) & 0x55555555 + + t := a32 & 0x7FC000 + a32 ^= t >> 9 + a32 ^= t >> 12 + + t = a32 & 0x3000 + a32 ^= t >> 9 + a32 ^= t >> 12 + + return uint16(a32 & GfMask) +} + +// Inv calculates the multiplicative inverse of Gf element a +func Inv(a Gf) Gf { + out := sqr(a) + tmp3 := Mul(out, a) // a^3 + + out = sqr(sqr(tmp3)) + tmp15 := Mul(out, tmp3) // a^15 = a^(3*2*2 + 3) + + out = sqr(sqr(sqr(sqr(tmp15)))) + out = Mul(out, tmp15) // a^255 = a^(15*2*2*2*2 + 15) + + out = sqr(sqr(out)) + out = Mul(out, tmp3) // a^1023 = a^(255*2*2 + 3) + + out = Mul(sqr(out), a) // a^2047 = a^(1023*2 + 1) + return sqr(out) // a^4094 = a^(2047 * 2) +} + +// Div calculates a / b +func Div(a, b Gf) Gf { + return Mul(Inv(b), a) +} diff --git a/math/gf4096/gf_test.go b/math/gf4096/gf_test.go new file mode 100644 index 000000000..0bdadaeba --- /dev/null +++ b/math/gf4096/gf_test.go @@ -0,0 +1,101 @@ +package gf4096 + +import ( + "testing" + + "github.com/cloudflare/circl/internal/test" +) + +type ( + tadd func(x, y Gf) Gf + tmul func(x, y Gf) Gf + tsqr func(x Gf) Gf + tinv func(x Gf) Gf + tdiv func(x, y Gf) Gf +) + +func assertEq(t *testing.T, a, b Gf) { + if a != b { + test.ReportError(t, b, a) + } +} + +func TestGeneric(t *testing.T) { + t.Run("Add", func(t *testing.T) { testAdd(t, Add) }) + t.Run("Mul", func(t *testing.T) { testMul(t, Mul) }) + t.Run("sqr", func(t *testing.T) { testSqr(t, sqr) }) + t.Run("Inv", func(t *testing.T) { testInv(t, Inv) }) + t.Run("Div", func(t *testing.T) { testDiv(t, Div) }) +} + +func testDiv(t *testing.T, div tdiv) { + assertEq(t, div(6733, 1), 2637) + assertEq(t, div(0, 2), 0) + assertEq(t, div(4, 2), 2) + assertEq(t, div(4096, 2), 0) + assertEq(t, div(9, 3), 7) + assertEq(t, div(4591, 5), 99) + assertEq(t, div(10, 550), 3344) + assertEq(t, div(3, 5501), 1763) +} + +func testInv(t *testing.T, inv tinv) { + assertEq(t, inv(0), 0) + assertEq(t, inv(1), 1) + assertEq(t, inv(2), 2052) + assertEq(t, inv(3), 4088) + assertEq(t, inv(4), 1026) + assertEq(t, inv(4095), 1539) + assertEq(t, inv(4096), 0) + assertEq(t, inv(8191), 1539) + assertEq(t, inv(8192), 0) + assertEq(t, inv(0xFFFF), 1539) +} + +func testSqr(t *testing.T, sqr tsqr) { + assertEq(t, sqr(0), 0) + assertEq(t, sqr(1), 1) + assertEq(t, sqr(2), 4) + assertEq(t, sqr(3), 5) + assertEq(t, sqr(4), 16) + assertEq(t, sqr(4095), 2746) + assertEq(t, sqr(4096), 0) + assertEq(t, sqr(8191), 2746) + assertEq(t, sqr(8192), 0) + assertEq(t, sqr(0xFFFF), 2746) +} + +func testMul(t *testing.T, mul tmul) { + assertEq(t, mul(0, 0), 0) + assertEq(t, mul(0, 1), 0) + assertEq(t, mul(1, 0), 0) + assertEq(t, mul(0, 5), 0) + assertEq(t, mul(5, 0), 0) + assertEq(t, mul(0, 1024), 0) + assertEq(t, mul(1024, 0), 0) + assertEq(t, mul(2, 6), 12) + assertEq(t, mul(6, 2), 12) + assertEq(t, mul(3, 8), 24) + assertEq(t, mul(8, 3), 24) + assertEq(t, mul(125, 19), 1879) + assertEq(t, mul(19, 125), 1879) + assertEq(t, mul(125, 37), 3625) + assertEq(t, mul(37, 125), 3625) + assertEq(t, mul(4095, 1), 4095) + assertEq(t, mul(1, 4095), 4095) + assertEq(t, mul(8191, 1), 4086) + assertEq(t, mul(1, 8191), 4095) + assertEq(t, mul(550, 3344), 10) + assertEq(t, mul(3344, 550), 10) +} + +func testAdd(t *testing.T, add tadd) { + assertEq(t, add(0x0000, 0x0000), 0x0000) + assertEq(t, add(0x0000, 0x0001), 0x0001) + assertEq(t, add(0x0001, 0x0000), 0x0001) + assertEq(t, add(0x0001, 0x0001), 0x0000) + assertEq(t, add(0x000F, 0x0000), 0x000F) + assertEq(t, add(0x000F, 0x0001), 0x000E) + assertEq(t, add(0x00FF, 0x0100), 0x01FF) + assertEq(t, add(0xF0F0, 0x0F0F), 0xFFFF) +} diff --git a/math/gf8192/gf8192.go b/math/gf8192/gf8192.go new file mode 100644 index 000000000..0a7d94ec7 --- /dev/null +++ b/math/gf8192/gf8192.go @@ -0,0 +1,130 @@ +// Package gf8192 provides finite field arithmetic over GF(2^13). +package gf8192 + +// Gf is a field element of characteristic 2 modulo z^13 + z^4 + z^3 + z + 1 +type Gf = uint16 + +const ( + GfBits = 13 + GfMask = (1 << GfBits) - 1 +) + +// Add two Gf elements together. Since an addition in Gf(2) is the same as XOR, +// this implementation uses a simple XOR for addition. +func Add(a, b Gf) Gf { + return a ^ b +} + +// Mul calculate the product of two Gf elements. +func Mul(a, b Gf) Gf { + a64 := uint64(a) + b64 := uint64(b) + + // if the LSB of b is 1, set tmp to a64, and 0 otherwise + tmp := a64 & -(b64 & 1) + + // check if i-th bit of b64 is set, add a64 shifted by i bits if so + for i := 1; i < GfBits; i++ { + tmp ^= a64 * (b64 & (1 << i)) + } + + // polynomial reduction + t := tmp & 0x1FF0000 + tmp ^= (t >> 9) ^ (t >> 10) ^ (t >> 12) ^ (t >> 13) + + t = tmp & 0x000E000 + tmp ^= (t >> 9) ^ (t >> 10) ^ (t >> 12) ^ (t >> 13) + + return uint16(tmp & GfMask) +} + +// sqr2 calculates a^4 +func sqr2(a Gf) Gf { + a64 := uint64(a) + a64 = (a64 | (a64 << 24)) & 0x000000FF000000FF + a64 = (a64 | (a64 << 12)) & 0x000F000F000F000F + a64 = (a64 | (a64 << 6)) & 0x0303030303030303 + a64 = (a64 | (a64 << 3)) & 0x1111111111111111 + + t := a64 & 0x0001FF0000000000 + a64 ^= (t >> 9) ^ (t >> 10) ^ (t >> 12) ^ (t >> 13) + t = a64 & 0x000000FF80000000 + a64 ^= (t >> 9) ^ (t >> 10) ^ (t >> 12) ^ (t >> 13) + t = a64 & 0x000000007FC00000 + a64 ^= (t >> 9) ^ (t >> 10) ^ (t >> 12) ^ (t >> 13) + t = a64 & 0x00000000003FE000 + a64 ^= (t >> 9) ^ (t >> 10) ^ (t >> 12) ^ (t >> 13) + + return uint16(a64 & GfMask) +} + +// sqrMul calculates the product of a^2 and b +func sqrMul(a, b Gf) Gf { + a64 := uint64(a) + b64 := uint64(b) + + x := (b64 << 6) * (a64 & (1 << 6)) + a64 ^= a64 << 7 + x ^= b64 * (a64 & (0x04001)) + x ^= (b64 * (a64 & (0x08002))) << 1 + x ^= (b64 * (a64 & (0x10004))) << 2 + x ^= (b64 * (a64 & (0x20008))) << 3 + x ^= (b64 * (a64 & (0x40010))) << 4 + x ^= (b64 * (a64 & (0x80020))) << 5 + + t := x & 0x0000001FF0000000 + x ^= (t >> 9) ^ (t >> 10) ^ (t >> 12) ^ (t >> 13) + t = x & 0x000000000FF80000 + x ^= (t >> 9) ^ (t >> 10) ^ (t >> 12) ^ (t >> 13) + t = x & 0x000000000007E000 + x ^= (t >> 9) ^ (t >> 10) ^ (t >> 12) ^ (t >> 13) + + return uint16(x & GfMask) +} + +// sqr2Mul calculates the product of a^4 and b +func sqr2Mul(a, b Gf) Gf { + a64 := uint64(a) + b64 := uint64(b) + + x := (b64 << 18) * (a64 & (1 << 6)) + a64 ^= a64 << 21 + x ^= b64 * (a64 & (0x010000001)) + x ^= (b64 * (a64 & (0x020000002))) << 3 + x ^= (b64 * (a64 & (0x040000004))) << 6 + x ^= (b64 * (a64 & (0x080000008))) << 9 + x ^= (b64 * (a64 & (0x100000010))) << 12 + x ^= (b64 * (a64 & (0x200000020))) << 15 + + t := x & 0x1FF0000000000000 + x ^= (t >> 9) ^ (t >> 10) ^ (t >> 12) ^ (t >> 13) + t = x & 0x000FF80000000000 + x ^= (t >> 9) ^ (t >> 10) ^ (t >> 12) ^ (t >> 13) + t = x & 0x000007FC00000000 + x ^= (t >> 9) ^ (t >> 10) ^ (t >> 12) ^ (t >> 13) + t = x & 0x00000003FE000000 + x ^= (t >> 9) ^ (t >> 10) ^ (t >> 12) ^ (t >> 13) + t = x & 0x0000000001FE0000 + x ^= (t >> 9) ^ (t >> 10) ^ (t >> 12) ^ (t >> 13) + t = x & 0x000000000001E000 + x ^= (t >> 9) ^ (t >> 10) ^ (t >> 12) ^ (t >> 13) + + return uint16(x & GfMask) +} + +// Inv calculates the multiplicative inverse of Gf element a +func Inv(a Gf) Gf { + return Div(1, a) +} + +// Div calculates a / b +func Div(a, b Gf) Gf { + tmp3 := sqrMul(b, b) // b^3 + tmp15 := sqr2Mul(tmp3, tmp3) // b^15 = b^(3*2*2+3) + out := sqr2(tmp15) + out = sqr2Mul(out, tmp15) // b^255 = b^(15*4*4+15) + out = sqr2(out) + out = sqr2Mul(out, tmp15) // b^4095 = b^(255*2*2*2*2+15) + + return sqrMul(out, a) // b^8190 = b^(4095*2) = b^-1 +} diff --git a/math/gf8192/gf_test.go b/math/gf8192/gf_test.go new file mode 100644 index 000000000..375e4156a --- /dev/null +++ b/math/gf8192/gf_test.go @@ -0,0 +1,147 @@ +package gf8192 + +import ( + "testing" + + "github.com/cloudflare/circl/internal/test" +) + +type ( + tadd func(x, y Gf) Gf + tmul func(x, y Gf) Gf + tsqr2 func(x Gf) Gf + tsqrmul func(x, y Gf) Gf + tsqr2mul func(x, y Gf) Gf + tinv func(x Gf) Gf + tdiv func(x, y Gf) Gf +) + +func assertEq(t *testing.T, a, b Gf) { + if a != b { + test.ReportError(t, b, a) + } +} + +func TestGeneric(t *testing.T) { + t.Run("Add", func(t *testing.T) { testAdd(t, Add) }) + t.Run("Mul", func(t *testing.T) { testMul(t, Mul) }) + t.Run("sqr2", func(t *testing.T) { testSqr2(t, sqr2) }) + t.Run("sqrMul", func(t *testing.T) { testSqrMul(t, sqrMul) }) + t.Run("sqr2Mul", func(t *testing.T) { testSqr2Mul(t, sqr2Mul) }) + t.Run("Inv", func(t *testing.T) { testInv(t, Inv) }) + t.Run("Div", func(t *testing.T) { testDiv(t, Div) }) +} + +func testSqr2Mul(t *testing.T, sqr2Mul tsqr2mul) { + assertEq(t, sqr2Mul(0, 0), 0) + assertEq(t, sqr2Mul(0, 1), 0) + assertEq(t, sqr2Mul(1, 0), 0) + assertEq(t, sqr2Mul(0, 5), 0) + assertEq(t, sqr2Mul(5, 0), 0) + assertEq(t, sqr2Mul(0, 1024), 0) + assertEq(t, sqr2Mul(1024, 0), 0) + assertEq(t, sqr2Mul(2, 6), 96) + assertEq(t, sqr2Mul(6, 2), 544) + assertEq(t, sqr2Mul(3, 8), 136) + assertEq(t, sqr2Mul(8, 3), 4123) + assertEq(t, sqr2Mul(125, 19), 3075) + assertEq(t, sqr2Mul(19, 125), 590) + assertEq(t, sqr2Mul(125, 37), 5123) + assertEq(t, sqr2Mul(37, 125), 854) + assertEq(t, sqr2Mul(4095, 1), 2883) + assertEq(t, sqr2Mul(1, 4095), 4095) + assertEq(t, sqr2Mul(8191, 1), 5190) + assertEq(t, sqr2Mul(1, 8191), 8191) +} + +func testSqrMul(t *testing.T, sqrMul tsqrmul) { + assertEq(t, sqrMul(0, 0), 0) + assertEq(t, sqrMul(0, 1), 0) + assertEq(t, sqrMul(1, 0), 0) + assertEq(t, sqrMul(0, 5), 0) + assertEq(t, sqrMul(5, 0), 0) + assertEq(t, sqrMul(0, 1024), 0) + assertEq(t, sqrMul(1024, 0), 0) + assertEq(t, sqrMul(2, 6), 24) + assertEq(t, sqrMul(6, 2), 40) + assertEq(t, sqrMul(3, 8), 40) + assertEq(t, sqrMul(8, 3), 192) + assertEq(t, sqrMul(125, 19), 2582) + assertEq(t, sqrMul(19, 125), 7332) + assertEq(t, sqrMul(125, 37), 3012) + assertEq(t, sqrMul(37, 125), 4916) + assertEq(t, sqrMul(4095, 1), 3392) + assertEq(t, sqrMul(1, 4095), 4095) + assertEq(t, sqrMul(8191, 1), 5402) + assertEq(t, sqrMul(1, 8191), 8191) +} + +func testDiv(t *testing.T, div tdiv) { + assertEq(t, div(6733, 1), 6733) + assertEq(t, div(0, 2), 0) + assertEq(t, div(4, 2), 2) + assertEq(t, div(4096, 2), 2048) + assertEq(t, div(9, 3), 7) + assertEq(t, div(4591, 5), 4205) + assertEq(t, div(10, 550), 7759) + assertEq(t, div(3, 5501), 1770) +} + +func testInv(t *testing.T, inv tinv) { + assertEq(t, inv(0), 0) + assertEq(t, inv(1), 1) + assertEq(t, inv(2), 4109) + assertEq(t, inv(3), 8182) + assertEq(t, inv(4), 6155) + assertEq(t, inv(4095), 4657) + assertEq(t, inv(4096), 911) + assertEq(t, inv(8191), 5953) + assertEq(t, inv(8192), 0) + assertEq(t, inv(0xFFFF), 4378) +} + +func testSqr2(t *testing.T, sqr2 tsqr2) { + assertEq(t, sqr2(0), 0) + assertEq(t, sqr2(1), 1) + assertEq(t, sqr2(2), 16) + assertEq(t, sqr2(3), 17) + assertEq(t, sqr2(4), 256) + assertEq(t, sqr2(4095), 2883) + assertEq(t, sqr2(4096), 7941) + assertEq(t, sqr2(8191), 5190) + assertEq(t, sqr2(8192), 0) + assertEq(t, sqr2(0xFFFF), 5190) +} + +func testMul(t *testing.T, mul tmul) { + assertEq(t, mul(0, 0), 0) + assertEq(t, mul(0, 1), 0) + assertEq(t, mul(1, 0), 0) + assertEq(t, mul(0, 5), 0) + assertEq(t, mul(5, 0), 0) + assertEq(t, mul(0, 1024), 0) + assertEq(t, mul(1024, 0), 0) + assertEq(t, mul(2, 6), 12) + assertEq(t, mul(6, 2), 12) + assertEq(t, mul(3, 8), 24) + assertEq(t, mul(8, 3), 24) + assertEq(t, mul(125, 19), 1879) + assertEq(t, mul(19, 125), 1879) + assertEq(t, mul(125, 37), 3625) + assertEq(t, mul(37, 125), 3625) + assertEq(t, mul(4095, 1), 4095) + assertEq(t, mul(1, 4095), 4095) + assertEq(t, mul(8191, 1), 8191) + assertEq(t, mul(1, 8191), 8191) +} + +func testAdd(t *testing.T, add tadd) { + assertEq(t, add(0x0000, 0x0000), 0x0000) + assertEq(t, add(0x0000, 0x0001), 0x0001) + assertEq(t, add(0x0001, 0x0000), 0x0001) + assertEq(t, add(0x0001, 0x0001), 0x0000) + assertEq(t, add(0x000F, 0x0000), 0x000F) + assertEq(t, add(0x000F, 0x0001), 0x000E) + assertEq(t, add(0x00FF, 0x0100), 0x01FF) + assertEq(t, add(0xF0F0, 0x0F0F), 0xFFFF) +} From 827a97baf6b82997ea7fb4b2503a52955236358d Mon Sep 17 00:00:00 2001 From: octeep Date: Wed, 12 Oct 2022 02:24:05 +0100 Subject: [PATCH 02/14] trim down test data size --- kem/mceliece/testdata/testdata.go | 4 +- kem/mceliece/testdata/testdata.txt | 183 ++++------------------------- 2 files changed, 22 insertions(+), 165 deletions(-) diff --git a/kem/mceliece/testdata/testdata.go b/kem/mceliece/testdata/testdata.go index c2352183b..71a90c077 100644 --- a/kem/mceliece/testdata/testdata.go +++ b/kem/mceliece/testdata/testdata.go @@ -2,8 +2,8 @@ package testdata import ( "bufio" + "encoding/base64" "encoding/binary" - "encoding/hex" "errors" "fmt" "io" @@ -52,7 +52,7 @@ func FindTestDataByte(searchKey, path string) ([]byte, error) { continue } - data, err := hex.DecodeString(value) + data, err := base64.RawStdEncoding.DecodeString(value) return data, err } } diff --git a/kem/mceliece/testdata/testdata.txt b/kem/mceliece/testdata/testdata.txt index e0f07ae7d..db748ec75 100644 --- a/kem/mceliece/testdata/testdata.txt +++ b/kem/mceliece/testdata/testdata.txt @@ -1,163 +1,20 @@ -## Testdata: contains binary strings used in unittests -## -## This is a UTF-8 file in a custom file format. -## Empty lines and lines starting with “#” are ignored -## Other lines have the structure “ = ”. -## is any string without Unicode whitespace characters. -## is string of consecutive hexadecimal digits with Big Endian semantics. - -sanity_check = 01234567 - -# generic strings (used in at least 2 files) - -mceliece8192128f_pk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B5CE9A1FF3C278AF4550782B63F3A5CB90C9A71FF4E676BF524D58868606DD58F5728DEFE0ABBE56A9C64D81988BF151764628A7FB811D538917449F0D68CFCE9A591E92CA114423A1319A0670CC00F520D3D5EA2891246CDFA29EEEEB59F67E5C9A741D480CCFA98D2F1185D8EE78EB8DD3C893125B5BE55DC5F36D3930E83F5404DF7FF48919CD5840E8A616994B340A36E2B7336287F473A08B7380333EFF378174D3B8306C93FA9D2580440EEAF6F163D534FAC92C042385D8581D597CBDEF7FAD1551B9ADC27AED861D3B2B3BB68EB3E5D18B89F83BC9FD1C75EBB59D4EF4C89147A384FFF7E65E52FA59E7493694A6C09AE260C1496C36B96A7A41F8637A254F14BCB311482C79379B895647E90F65DBDA299DDBFE84ADE7FDE62C0828EEAC95D70C5C066F98D9446415319E37EF7D522CCD1C325977AF01EF3D6766826014CF81084A87DDAFBF05DAAAAC5AD5F3FA0AB0250FC31234CFF2AA1D6DF6A8CCDFB128B90D40618B1F11DF57E884908277C11E6ADB1D68FC08E5FFBA5896709ACA0667C7AF4E3536FDAC58E21B320763B789EBC442A9EB082C78C4F36C508310D2BA141157A836E7FFEB42C2FA7F31F5870EFADC95535AC950A7BB400A66DE475369EB2D59DADC1D84E0978F21FFB5D225980CFC96C6F314BED801D52519E87297D5B261AC442CB20E707B5D40EDAFA65A35EBC5DB53241AA9EC2FFD0D97DD34DFE689C0E20DF4206B3C4D879B53956AB47E96B941226E8D50AFD4302AD25D0501E986EDF8D78D0695900B5474BC709B70B319D9EBCF2E5E67BE8691F99F5FBC8A7C12FC7FAD302E3B2CC60195B71ADA0652426B54283F6742D3213E41962DB526D3D087B513E079F0840A14EB9962B7AD4CE64FD5AA80C29D5C250E8B28E2F4D9E37A75ECCC92B1F3FFD6DF3367A5598A42BB80E5EA5EE476F8EC6B8FD2B34FBCB6FF1CF5335E9E6EAEF8B985DABC445FCA6E7FAEBF008041D47D7AA392A8A15F8AB70B5B2939A50DCD86407A9FA7100BB979A66871351A082FBCE3C397EBFAC7AF1D109F64B6DAB9C036FF201144370EDBCE554E97382D4B492B839DF8F2A3B3DB911352DA02FAB7AD4FD9AE9FF1B0E8CBC094FF0A4FACF62CF6A24AD3D95F4F62F456C7C944DA12AC0329502C69DD53231CF8DA09C715317FDA4E4E5D34D09260B64568D8B3C52BBD9FCB2F64C56BE9EE894CAF99970BBFE579C21C6CC4BDE1AAC704CB36AFCB7D90EB64E5E8F48072E7877581F5FF764864B54E83BBA9A08812C1483C0B2DF4B01462451D1863E4A12407744A919301730FEB7756ADE609147D48DCD651C4F769D87445B57215312E6F776AC185109A8BEA0AAA0ED9FD7EB9D18911E7D30D770AB6B67E674F87086C0A77F803DD5E6169066E27889AE9C91FF9DC376EE054D9806A51DBF9DE00C530060D9A79A5D27AF6AB3D2E784CD049D1E1E12D34950CD5DAAF5D9D6DD437479D02CAF27479CB35CF80019EBC407BB496C6BEAE9F966F13A5A2D4A551A0F6D862E9938C4AA638BB0BD91B3BDC62A88DE161E1263CFA52A845EAD767FFBCC8339D06D40DBF60BB32DFEBF07D6BF9227AD2501B8D05C7EAD22A2C04067F8F11A99F068E5FB2035C367FBDD12EC4CB2DA762FAC325F5CED27AFEC94FFB6513C6ED1F79059F8B4F27137AD4A06A003778E8FA7C15C78721C2A2DEE8AB22609CBB1645AB1172316D89F67587FD01C445F5CDC5A776D7D13F6E83DD0621B3F85048BD72B8EFC24D8DBC9479F9F17124470502E3371B3221A598C7B18F324DAC2289ADE69A8E03CCA849E3D4BC3EEB56A5C8C18804DCAB25933804F85785FE5B1C4E39FD8908387979192004AA508865A8ABE342ED9FCAAC64B3F38B07B21BD02E6527E9C4CC1A886B362C6B643D62ABD78B16CFF64B20ACB286FE6BE4071395FC72273D2CE58F8BF8DFCF732BBC34A14F5C3F0DF16653A2F88D9D602EB69C8FB21B45A16C9ED0F9547B7C5616886FE48B9541FBCC3ABCB5C969BDE0DD5EF89207F12128210EC23DE8790FF8FFC6406A0D45C58A885E74A2E6CE5724116CC1910FBB940BC2D754C03C979CA8055E2C799AAF002F8648B54051994D596290096231ADF9C90F740A8443E7B9246373DA07F04CA7C77C857D69CDAFB6FD9C786535C63DD0294DA3F5FB347D229DC76E4DD778369ADE91DABCB3E189D124C9572F68C655A61778C3F0EF240A604C6645FB3AC6E9489E7B942A55E007F43AEF8AC82B24E4F438F0E536FECB6D9BAF7EE9C9888EBEDB14F5E23FA2BD20CF671B0A19AA6E50B7C3440BDFBA8ED38EA6FA079BAAF15BFC86DCDDA185103471B3FCC31C185DD573363A32B90F1CE43023CDC3D9A2C6888100AAFEF3748F9B76C197A272CFBAD98C43045098E82B90A216627B8A60253A1BD700A9B828004F2BB1DC41B2B86010082360908E5304D35917E1EA97F3C917C0291BA4305015FF5308158A84B46D6B0B1FAB5F7A33A9CD92848F9A8C78FF7154103B224D2A0747DE2DA5D23C566FE6C2D8909674D91DEC9B60929CAAF7DD0FEEB2733C0E16E18B6B1CA16C386C8A5D160FAA5DEB2A95144D9E66FDCE9866B5E4118F7283C22A6F498142397A35F37CD9C54EDC6DF481025708122D2BD7EFF0726395AE75AEA7F1C08C2128AE63E1116A7BF1461F2C007E428FE0E1AD6B830F8CA288D265594346C2F12950D15BFBB2739282CBD5383B2EF227D6888EE8EF290E4DE987A13590DBCADDB480E19E4CC12A8F624D25240A20DF7A1DC492872ABB34F2EDCC93D726D51ED9A14478750401709B3C3CACEAF2379A2DE08BB07B2D0B76DE53BC1B20A74C013A9F4D3EB4743DC6F3A9F980000E34B93F5D7139BE82EAC2D7F0DD7C47B4CADE31FF8C561CAEA1E4BB1498A583FCFF4D4916861115C6EC920A475041F1534E9E9C4504E20E82E15171BF3FA2576422A7C79ACF37EA1D2F21EA3494A045F2F2F17590769802BE3D6FA843888292B9E68FC1700C46EEB6804F67015658A439D7AB1DB09C896C6FE8180D08E451ED95E6FD05DCAE8EA9ABB99011404E5553A7B9AB8D17CC6E469511962932BA888258D179FE7803675FC4DDF48284FCB0CC5E36DD1E3AF7250097E440B2924D394EA5FD809DA1EFC13E72130AE3E706A15D3E1F3FB2106D79F9AD126A8BC6133D888651152C5D15AB13CA3FC5A7676470E285651269EF7C3D636736F3C938D3D0DA1D0ACBD4FBC572518EE3256A729186DF5E1C393D8AD86A4D586F85B6F63DBBB9FF0DDD6BECF08E54CB7224B42639F136E39A7F0D2D8247CFDB14579035BAA159FCCCD399EC19CC3F44FEA77F2D0CFFDFC7EA58C817E99A3DBD1AB5657BDCF25B133BC29F561C13ACFCC3975854E36D802A9F0652CBD1AC5CF8F33DB8D806233BAEF8CBCC0EC1BDD57C6F8EEB057EC8F2D22CFDA9488C41957E387A6319C80C201C3D92DF988AC24743FCEBB4009F230363873B0342CB8CAFC025D05A27830359D679A668A22A1EF9E7F29B53A867874EEAF1E727F6D3291DAEA74F801EA26F1672AB0FBEF7A04737010E24546998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-mceliece460896orlarger_benes_apply_benes_r_after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bm.rs - -mceliece8192128f_bm_first_round_s_input = 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 -mceliece8192128f_bm_first_round_compare_array = 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 - -# controlbits.rs - -controlbits_kat3_mceliece348864_pi = 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- -# crypto_hash.rs - -shake256_digest_expected = 0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000037512C5504BD01072884677F61A719E370C6A242B06DE6A9EED3B4870EC75E7300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 - -# decrypt.rs - -mceliece8192128f_decrypt_errvec = 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- -# encrypt.rs - -mceliece8192128f_encrypt_ct = f220f073d58e77c3af5c366c94cedff259e4144c8fba8ecbf833582c2922429431d7bcca15d587405cf646411ce113950de7b15e92acff8bdb99385be1917f7ee68cba58c32505282c568d67ee29c84b07988c9d4d02cd5a21544a3050d24b7001b3232fbc534f2033ab7a10ab4e5c816a0ce7b1fbdb46d2dbb5fac934bcfa57c675265564af3400ea4dced7e68bedb0af4c52a25bfba6be2162aa7adb8ef685efbc119407a6938af904630b7e755a9d2f7496f06129ee7538d09144107bd51bc725d6d5a73f419d8277bbc195ff4c7f0000000000000000000000000000000000000000000000000000000000000000 - -# operations.rs - -mceliece8192128f_operations_ss = EC35D8E55EB7ACE9866694FC0915402EA0720A85C5A3DB8A93D627F0432A452E -mceliece8192128f_operations_entropy_input = 061550234D158C5EC95595FE04EF7A25767F2E24CC2BC479D09D86DC9ABCFDE7056A8C266F9EF97ED08541DBD2E1FFA1 -mceliece8192128f_operations_enc1_ct = F220F073D58E77C3AF5C366C94CEDFF259E4144C8FBA8ECBF833582C2922429431D7BCCA15D587405CF646411CE113950DE7B15E92ACFF8BDB99385BE1917F7EE68CBA58C32505282C568D67EE29C84B07988C9D4D02CD5A21544A3050D24B7001B3232FBC534F2033AB7A10AB4E5C816A0CE7B1FBDB46D2DBB5FAC934BCFA57C675265564AF3400EA4DCED7E68BEDB0AF4C52A25BFBA6BE2162AA7ADB8EF685EFBC119407A6938AF904630B7E755A9D2F7496F06129EE7538D09144107BD51BC725D6D5A73F419D8277BBC195FF4C7F3EDD086216C90F28C78E03C496B56E6659DC95C5F7C51A371D36BAD9BC1757C2 -mceliece8192128f_operations_sk_expected = 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C3114D7AEDAEA172F2F2523E0B983C65D2E14715FDF54BE6EB7064FA1B64A26AA30D0D4070FF791CB3FCF18EC94D598B02E25A2EF0E89442525FEA37F562EEAAB90BCB5F0306B3FDFAA6DD513CF7D9B0F312C4107DF440A73DCC103648A0F1F7E54B0C14D1001010C91D1E4621076D1DB492846168946F62928E021338C018CBFE8CA2C6152BACC7A289222706D7981717C0BB98708F8BB63DCD8C304EE5E1AEE1FC2E01647E7485CBFFBC5C0619B4522E20FC9ADA77683DF0C55DDF4D704FA6EC4C1924EFDB1A55D54284FFA8147F0E5FE05A25B165E41C7A385B472909CD808CEFA1A531ACED52AFA411B22938517C1732F2703D3C12A6900A06B63407B7AC95D04350C30393B083A34ADE63283EC5B85969322487C418B0C3F7048F2CDBCAA7E86E977CBA4FB0E4471500F12BCAD2AF6C39C9DD9583EE45C16C50CE242724DCC4F051CDDFC50A68782594F7FC06F924A9D04E91AD948184E7F51C20D368058928D9E8AA283AAAE8B8DF4CB4EDD3E50FD0A680C6E1E4F717F60293B1E76B76CEB98A790A92132F61746251563FA23EC711452E672C95CC374C80E9858DA89BEABB054B842491877C928DC4FC93DF7F196B3BF82CB0226D666F934F71212ADACF7CD946A917C611E792DC1A0AA939ED43C52AE0EDC6AF0DD59DB882012858CD8C236B6F21D4A477D610DAA2AC6822DFDC66FE6A9CA6CEDD93672F3152362B4173CE52D2685797605DB027061D3903FD31A6F3D95EEAB015CDF0A587E2322D3866F8E6842FABA2C3C3FE0025CA277B45C1AAEE29588F88A2301EB0CEC5F8B36A5FD22DA4A7A77C34ECBA768FAE5CDC05129906221A5F3A4B18486CDD8BE169D57B3031E805805897073091ACD3F9AAECE98F3DA8F0AD61A71F41C22D0DCBA72758D7CFAB46F239EC1390A79ECB875F8C55CC7BCC6C80B6D1541E5A485195D6D4EB897C89F94028BEDBE32C90647026D6372F9B7A71988A841EA9C01108F9A07CEDE71FA362A596CE44303A10D41CE6F15A0ACE3EE67EB7E19EF89BC1B52968502E2EE295067EF3CF782CBA5E0ECDA28EE11DE17FA1B945ABB3DBC1032C81A63EEA44A498F6FBFBE9B759A3339F7299578B24E5085A5AA944278E8731D968599E69F718DBD6C7980CFDFC4E7DAAECA0A5D51140313E72F93027FAFD1C85257430D98222B4F135D0F8864E0FC21E2CF9D3C40ABD86122126145CD2EE5871B2B2A7EC1874CB0E2B2F7F3064C5C026FE40A643113CB1F1448561BDC4E0E1F05041C89F1D6BD19D7090195D205B5267D22C7AA7CA6F4E0D4C2D88B7FAF2739F5E9E382A8FDF5907F67AAB8528345798DC77241340F02670392D4AB59DFBCE45D323EC5E82E0532C36CA8439130EF47FB0FFF450EE3FE2C67FE03B8FB4E18FF1AE2E4C291583CD0962143CCCF0E4CE1212E538DBDC8EEA53ED96970C4595DE063A8DB03AC25516C26CCFCB44CB54F248B8EF6A49423BD0FB34A30CEFEF1B9D65E16A2AC1EF290F72A700F59A604E5EDB21BEBF023088DD5A01B87BB3B9B03AF1AD22BE05E496DE0854EDDB5F7A95FF1894CE519929033881E1F14882133C4356D89D5998639CCFEE26046041BB2BAF1B4362C51CDE82E096553FDE3193513219BEE7749A22EF221C1C74C13DEBB2C84AC027D0C0066F57B0528DFDA78C555FBA5C775FD689980442950A9B9287B6DB8F9A1C39992967EC0DA07D4F35CE6C525A68C4FF04B5FE4F8B7ADC9108399ABCC13B2F4825F0B737C8BCCA1560DC27D311E4E11DB39F93EC6C904FA6F2ECDDDCD555E17934187139B6502F1B4A7B4148E1B0B22688C5A5379C8B92842CB5B72488C1D8EFC16B184BDC7C66C6903A37A2898B163DC9B3CD6B5B6C7FBE3FD8B45E509EEFA63447674523F714393A67230C39B533AF137FAFC4DB74EF53EFED946A8339F5BCCEEE02CD3FCCF92E1473EED9C8B4636E5CF35B6CD1EFFE49E40CC5D7A29D5FBCA6687B83EF2F9CDD67FB53D3B30CDF40C2370BAD4B852CA8804723296375C7E706C2E27F25F0689543BB6C07D82A75D99AA4D84E6ECC9A2F1A576CD3EA5654347D4F9DA22A8B6C113CC361D0610BFE4E4F51731B68EF1DD91A9B04DDB92FA57F8E4185E3130EB37E4592B292393D57749BF67964E278355A9CFC567E1D16AF01118F79F162D9282E3D52658F5FE7D6DD46B7F9DE3EC5B6955707AA0AFD71DC729DC5A6A5BD5F731BB8E1C10EB5C5C0B70D007B465E6AD469C8AAECC97527CA6FDE1F7188A04459B6062C46D3B2B8E1D139F59D63B505F657A885646D848CC5F4BC09619928B7DC41355D1B6221A769E033DA09103FD1B634338151B016632FFFC0EBFFCE39B917BD5C7A6EC6C6A34028EA4BBB5028230BE68F50DE5FB6610337912ABB59124B5BAF63ACAFF2EBB9BE90B4FD6EBCD229F30D8F01DF1312C682D0F5B8FA09087EBDB6DB6E9454AA2388F74631FAFB00DC3452D8D3CB62BD9126714D72E9959EB1A4203BF70B89A7399F1ABD697F443216676DB528FFE71A3B50F1C0AA3A665320B353DA289C3086EE5BECEBCA214186213A8788B3E4774FAA9E0F53CC29A3E4975A634C33C162E5D0D153B90FB0F85D622AFC3C04055754A9C41308B831B6487BA823B50987A0D111E48B8ECE3905DFB764B68C3376F966AB0D64941FE51BC5874E38B76872D3D36BEFE04A729614B049010E04EEE3DF6605ECBB384F189B481F9FA8C79E10E292241A8E87DF4934B17467710EA34319C7DE896277C494FD068B37E269A5B8A9588C551E7744B3AB3D8AFF6ACC51ECF49E896414244E3C9FA0E9946FBCBD7FC67FDDC90F7334853BBB710855F874B3EB1A23CB0CB04218E6FD07BF2103D148F9285E4F9C48BF6D8877B09A7C72BBDD25C73F2A9A788446F49FC3B8CC1365CDE8F8B652ABE8B04B9A063B9A043F0A8AF598AE6610CBD25F4B438BD485AD6A3CFB8B6CC34A36A6AC3860DDEF6098A65BDC2CC8882741349AE5F74DF366BE9706704E0302D806454E76F67380A513CB24F9D746D3D553FC0F0F78C9D40E2EFB422CBC4E98E9B8AD8A70D5952DFC15A39FB093A65809ACF17C348867B0A60BDA3E41703262A5B78A81216C6EE4A64FB388487D68E3D4BC7714CCF22D72573FD7762F02F30B82D1BD27B6A230097A856D6C5ABB8EB295459C64D8760D7F8AA586AC175DB1A8908C6430B7D6A8850E759A7DC5312B14ECC722A34B412850F1DD75A374093D73B3E0755D2DCAC9E591B103DB51EB6C9C577831E870FFC8A8AAF5F43ECE8D16B34AC4BDDB4E3F749B1E8287015A51A69FCF237B2DA560EBACCBAE621E73402BAA54B0D4474D1C50AE5FC31EE715DBF0D71EC88C871A9D0F32C448EA3C1D5B3C6F632AA22BCBE3D2E96544539709A5CB0A5C10A0D1E90284D40AB861E9A093C47014638D61DC3338F2315A14EF70EFAC504F7B89DCF4D45276B08F7C370789ECC6133A689D83510E8422EFA2B809EA8628778E69ABD4C9479D08BB8DC204F0BC0F6698598FA909854BF5A4F5FF417C7B4CF3B22DA6D5509515E7DE45141ED51019737DE070E3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pk_gen.rs - -mceliece8192128f_pk_gen_sk_input = 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 -mceliece8192128f_pk_gen_perm_input = 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-mceliece8192128f_pk_gen_pk_expected = 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mceliece8192128f_pk_gen_sk_expected = 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 -mceliece8192128f_pk_gen_perm_expected = 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-mceliece8192128f_pk_gen_pk2_expected = 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mceliece8192128f_pk_gen_sk2_expected = 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 -mceliece8192128f_pk_gen_perm2_expected = 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-mceliece8192128f_pk_gen_pi2_expected = 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0F5F0DB100B40F680CF318AE07960AAA0D5D1C061F691D8203601B8A18731B2E0275094F1DB30C7D040813CF0D2D1490064F023002590B8B0964182906FD1F1C0F960BC1017606B703991DD21365074C1F3B0C9C1F471043046E10620C5102B20F4B199E1FAB156204E50D6704681C9008040E9D122E1A4402AE0DBD1CE806C6197610DF02F216240A631E060C6E029A1A170A8B0E5413E504190B9B1DCE0FF708D10E9F0D5212D7155D0A7A15D21083054819651F62004312D61A210A991C24172A124E09E20ADE11DA018817D01F010B4D099609301B33039B1E001FE81FDC1326050813F615370AFE005F13D70A191A961A9B1BAA1EF50FD517AD0DC009A3188B1E831F5115460B3309480814165B07270EBC038F183E036E03B70B34034817830D96121112601BB1015716D500ED1363136D0F28144A1E8901C9194804DB127C1C3208EC0EB30FC600D8037C1BFA01E1042F0B48013B15960A330EC81F0F067506780D8D0FB30441048911EC103A08EA1E971CC805BE0442029B0B460AEC0F840451178E119B1963004606CF10B603FF1E9D113701EB031E0BF204B6038312301AA518E7199C1D481ED3103C084F14A2079819EA08FA00FD05BA106D0C5809101E7D172110C117761EEE0CF2127E145205CC1F761FE30A8003C90467181303610DF91C4E0CCD1E341410183F1EBA16CD049C1F5000E5123B16B905A4144B006B11A20F4509D919C311AB1F44071F0CCC0F0005FA19AE0114044E0AB11BD511CD06A505CB054F0CB705AC09EB101C13A717030B960EB20A7302BF07CE19C711ED15E717E413E0132D0BB50CCA000F10A2026601E806BA002E1EB504370E2B1079029D189410770FE10CB20FC51168069A11871B911316044F185D126614E509810CB91A9E02DF0DD216570B060F1E13731EC10D4208CF05E013A9120C155316EC14FD1C211EE516390B9F13F80AB607EC1D7210100F4E199F197B0F0B15A60AA705D112C30F6A1BBB1E8517261E4F091704530BA40A58125109F50B651BEE00FC1CDF046D17290A8D14C41F1F19C5062016FD077B0E93070C0CC21B440B2C125E0DDE1C3515651BE316400E221D3402DB0868087111960FD810551FE51A9102E910DD063306B917971DFF16ED18A71C980828046B00E60BF506631BAB0C8204DA1A3414610D820BAF11511FC007B015B9043B1CFE1C68014109D707C40C870AD9187403F50E7C1B68107A12261F640C421D1D04EA08D8135A1A541B7110280EBE115010DA0C28028506A40AB305D81F040958005608B411E511D41F8112ED01790A180863071101040FA71E5103BE13CD12B306220BCF171702241ACC132F19A50BCC163B1311063F140F073F11750DAC079D01A0098C062B068B17CF129B1CFF13D012C906E4185C153F11731DB1060905DA136F19100A8707991F921F290B1E1DBF1F2511DB0DCA0BC30D780EA3157C0755039C0DA703551EB11C8D1E1E0987090F065D017B0E0F014200B61E691941185F00D3010C02A31B8E111D020C167708A310F9075707F60F1301BD0E8B0D7B147C10AF02CB0B871F06151B144E04BD09F81B3B09EC156A1FEA1B5E18020556186A1BDE1E5808440516149C151E1D031F4B189715CF18580D6F1AF516C115E91647032213641BA119C20E48004419F710A11778142C1FA01104097006F9040D00E10D5F0E9410E615840F3408B90D0A11561C1C0A5B02551DE004740A280A070BF91A770E9107B509721F5912230FFB18601CC0082415AC02500AEE11E105BD01091B2104F11F3718080A301EC518D411DF0C7A0B230BF719C60B7B0159014F057C07E309BE1C450810033213250286160E1871065C0DB71706189A057407920D140901181B0146179E1AA4197E1A6E1A871B351C0B0C930B6B10D90D9F1857097E13F9031B12EF1B9F080812D018A80D411A4517AE0B7217EA1D161D05149903CB1BAD0B1B080E0BDB13FB03A501980C79075A133F1B0B16D41038014807FA0ED20B1D04EC18FF07AC167A06921466124909B90DDF147709B70A8805961A5106971DBA1C7F13200CE90A4201FC02A11EAA1EDA0C100F6215E30E26180405DC19B70F2A02DC10CD05E41F5D13351C7A16001DC509CA1E6D190505D9064E07E5081B1DDF002D148E13FD15600CF006DF0B16114C0D320D1A115E169413DD1BD10D6C141A070A1193032A1BF616B813D904C716D903A208431E68027906150840077214D40BEA10C716B31629122F067003B11DD70EB719581304035F044712BB172207FF19B6140701C70728071D059B1B721D8515CA061B1B6703B012691AEC0D691DDB11B3082F117106A70CB3028215F309690ECA0A3F0A4103701470182F015D0C6719B10A811E021A2E19180BFD07861C810C3C1C040AAC013016C419FF1BD206261A290AB211A608FE0C9511E806CB112806F61272080108420E8F02BB0927022C09770C31036D1D2611CB15F8102116BF083B0F7A0FBA07A1040507881F1B101E131C0E9014EF0D5A08C01D470F2C0BE2134600AA01161DFC0A6605C80F3C0D041F34187E0DA91CCC1B6910CF1D460E74058C0DF215790997186415410CCE0D7E07C1165D0E5D04A811880A16198201B80CC31DF41702076B044311F61B4E189B0BEE1586001709BD0C46076106990A0F1F961B2D17921A320C4F04AA052B1478100417B6052713220E310F9D06FF010100511CB31D9C0CBA093E0E600BCB15E20E4F1474130C1C2614940DE7126214E801F30A901B641AF3109D1C9D1B3610D5071612BD17C8131712E40C0E0BC511A00A4300381AFB0B1A034905A009F61E4719691AB31B92090A121505C506CA11161FD014DD086203111C37085A04F919FA009B177C09D40252059217E010EE1307045B12950D6200FF128A040E0FD60E9E0D160D4800EB0B040AF11A071217198B0682043414131B000AEF02650FE5103600B31C9517EC113207BB128B0C59049217BE1BB80CD8073413F5042C00F903531662075F1A1C02D716E314C01B071BD01C34008801F907A20C8D04A11670146E024D13C80FEB1DBC131E0ED907010DF7158C1E600E0B1CCF15DE02020BD206CD1C6518D7063504C5101105891E8C119D19DF044D1BB405B41D1A1B221A6A069B0E17025102420B6E1D3F0E091468191313880A470131151A04071DE60DB61859147B146A072D18BF1591031409A21E4C19CE0EC01D230DF41A88180D09B81FDF02AF116D02C80EFE103F099416F20E2100CA0A93049A183201F10310104F174F02F316A416FE1F831CDC07FC12681699156B198014D9141515260E8C15A30FA817130A0C18E91D5C072A0FC8004E0971154707D51AE818F1158F06950FFD002408D004E809DE05FD0D1015FB0C440C0606E10CED11221B2F1667126B1C8906981611152B0BC20261166E0673096C19AF184F1D4B0625091B091C14ED04C9131B1924076D019D09D6190E09B00D8A16D10C7B01060785174900EE12F315A003BB1D890D7F05880E5705EA05ED009D196408C81B1F00090EED0E8719321C1D139315F00EE300BF0B0B155F1EDF05AA113C1A6D04550E6719CC0EA10A5F045C16D61EC919F10537145B12F805661F82130E1A9A13760AA20E6E0CC50C73185E0F6F01F0008E1A84147F08AC00B20308036A10D2163F1BE2023A10311FDB115F18FB1E3A022F0FAA1C7D0BA90CFA0C960AF503D7160413D2116113B101B900990AED1FB71F560C7811D804C416710F93070B19911FF8047606EF1D45134F014A12DD1CAA01680A1E0F0E0CA20B73023D069406961E7B0C4B091E0E6A0160062A19B81A700226048711AA0C5A0DBA1D19168109331B0E166508F006B5049719E10BB302191972174B11F51E491A140E620F9A0E0C03E61F5C091202BA175E1ADE0A7814BE0CD313680EC917DB016A125006F101E31CFC09FB0E490264155506F80DE403DF168411201CB2003F16180E230A541DF2006D0F8C0F9C0E3C06291E130E3E1E2306E30E6F15C61EF311A801FD1E4D031313BE14DB1EDE0D3F075E13E1097312C01A0901860F6C1BB00A4D16EE03C2136C16AC0544159A14AA142F1D7112A61E5E0C37053E0A1717D30F7219E9092A161B0D9C0A5502C900900D8815D906C90269122C0CFC00D9157008950B5E03C30CA619C0066B150E152001AC10C004800CE413A217D7070D0A251F89025D09651C1F1F1A07AF0C15101A0C1A0ACC0662017C018300B9133714B30398172318821BB317070CF6009A0B9A105B11B6145F15AA08E2034C0C9803211E610CBE16AD195F0BF4167E1E57108E085D1A7917241D9F0B8119091AAE176A036B15061258019C08071E2B0BAC0BD5191E1B2B05AD1E86162D07181A7E033600301FB91B7C1BA30DFF1951162711B51F4F1559196D11B01D0912A418680C2C0CBB063E14BD0A670C5614C30891175C088B08F71EA9078E0B0C16FA1DE31E8D1FC41467188A05FE159000841C411453052D05B20EF3026818E20C9F0726137911E01E4B1CF808A20C2612330A690B351C2D0AAF1C280B671E7A19A60A7F06361BFC088019ED1F0B17D50B281C8F1F11139001BF04C60A771D221FAF1891151112B204F404E708730D3A193B0E1017DA1C39129915DF1D351B74154B0F43074A1FCE090E10B718CA0215078C04D1080903FB16E1186D0DAA1EC60DC702DA0A7C0F5D0FF401BC1C791A3A03C018C5063C1D2A06A211C7088419231DE10151152803CD14861912025C0B941CC107380E291429172D151715AB02D9087704350FBF0E9607E9168804D0078A0A4A034D13C106EB1FC6161716F8058512BE1E3118011A8A03510C6C0166124F148B1B080CAD13E60B681BDD1BDB1E2E070909E416A5029401560517038418D818B71C67161D0D6118AA0BF81A4D1FC21D4A02CF0D0C1087109B075D00BA1DA502C70ADF0A720C09175A19B318F611150C14167B06AC1E3D15F1048E0F5B1AC40C18193D1B6601A418C607330C071C0113411C52161A091809C81DD414AF1BF51E67135C08181AEF135E18FC0C2B0E681EEA192F112C174615AD1D130113136B091D012315BC04D205F1096119551BF019A70F360AAE160C1D66061C04980B510CA71A500B501A641F2209CC02B405EC0C570FF813EA1A7A12851AAF050A19971CB001180D951A2A0AFA079B186F0533110A1A7C03880660104500B7108106061898071A16DF13CB0EAC012D0E7713891C8213A6026B0ABF0D0E0C011398072B0D331E6B05030B6310741FCF1C61141B1D8E1B4314751E9609021FF313BD03341282033515DD003C1D7C15F61AD90D7A026A05180C5D11980D9A14F002BD157715F500EC1DE21FE61C871FA30A960227010B0931119F040111000F0A000B1F6E0F3518951AEA197D01B30715160B16B208921DC91FE2058B04C11D490C13041E15F913A30D4503DA095E0D4E15480AE40AE21F701F671CEB1C2C06D00AA9065B1D50 - -# randombytes.rs - -rng_ref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rng_ref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root.rs - -mceliece8192128f_root_inv_expected = 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- -# sk_gen.rs - -mceliece8192128f_sk_gen_genpoly_1st_round_input = 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 -mceliece8192128f_sk_gen_genpoly_1st_round_output = 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 - -# synd.rs - +mceliece348864_benes_layer_bits = 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 +mceliece348864_benes_layer_data_before = 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 +mceliece460896orlarger_benes_apply_benes_r_after = 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 +controlbits_kat3_mceliece348864_pi = 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 +controlbits_kat3_mceliece348864_out_ref = 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tDgDPSw++n19oT4OtFY58iBpq9y+2JF6m/CBO3boycIlDFcT8qCuC71GTObNia3w7aBv9TAQuJkz7FQQABtRE+1PMd2LIXKfH0h88tfR1Dt3hRv4t4TKrhACOgpyGwtSrIqZfWRUD7Ajbh43mBfSiHYO/mQlpVeljg2rlUlqFsN2rjLE4YgmypO0ZxaMH94VUGn7wcjd+GrAg7512uoss+nrTFBTdLio5XXyo3bfOjBbGCXSe8w7+4sYTy9N3FDoB59OwKKj38W837+rc88aMIx2BGZ2vPgUPSXYyHeBS+glzidpow4Uc4BhWROnbsVDc/R/OJLpxp0Xi3HmBpWNASkgjIfgfqlKtHz7o5iGbHJE27ESvnUX1OIkkK1dN7LWyWqNNYk1ZYfzeH0v1j7aZsAKAt3E7ayakkA4Jqxk7i08YQxxF03J85vKfCplGSoMTh2RpOmyYSCUuNOG3eaY0YQxBJ5lzq5g1UNqWIj+w09+2X0+5NVhm7bNLdHZ+laMRRU3ZlxiJG3QHyemlYc0w92reF8DkTu4TsSZ9HTv25REfLZE7eaYEYpOfMEdIpaj7IJdYG6GZeVAuQ42E82JA42H7cG/38txM7Fx3eCIIENabazx/KwabOwbwCOthVDrcS2VL0EM8UF2irmxxSpqBNNLtrQWnr53xiORe4OZ4wkJXzVpVi++RXFUPpLNLFfVsIXNtyIb4DpYHaLjEX48XVcpbbXN2jDHJOrol5uZbeULd9WvEffBMmeCQkhHcEVRGil34gslLSdaacvBwvKyB2MC1fV+XOyDPPyJt0MWqDBoh1j6NPAFrB4kbHiNvVAzbixy2iXheOeoV5+NaZ3s9smyJV2LOY2YKnnw9tawM0zGIaJvWi7LWSrAqy0UZNdlxp8ZCkYnukUp0wmzuiruqTD7bcnskr97VifhM4j3cFkBFC6DjVwUygqXopTKLryqdQiobvlfwHemeTvWCj0WiXOJkQchwfLo0Aw3eroZKCLS72Thm0VLY/bo0yO54avoh1yQgNE2DAYnRFfUyEp/ujUSsrSSyAAbf7AqVwxui36BQyUmDsMNXITkAdebA5slKTNi/d7FMnxdRuBczC4fbxRvZpPlgqq2Y/o7MSrf0O4p1Cd2mvV0R0J9BBvaVl/NA+s0HvCmGdLygWp0nl/IQ/I8aEeOBCp3Q8qIse7I7IxNVdDqV9PEd7377IRmXReYrD9huuuA0CLXdQJrL61NMhZYCDullZ8LPcBTxzS6MOWdZ1RijHAVYJfirrrqoswswSEW5EI82Iuy0A0tvWsLlbv4dsh2fEq7/u217BNQxoZe6NwhVm27N4QQVLD2G72Mv2B8+82JXhCAFVPUEq5eJE0zK1KDCqw0CguvHsCKQqqUY4TeeLcGwiq8JuJ2pZHs8WFhlL/kHeDw1n8Hzk1riJRJ65u3yTun7/gfB5pcSBDkCR4o6wBrJqzh0RAu5tKqX8p7HppI9yFgoH7WXZI3B4vMfRERmjw4yoAgjEo26l2vX2RICtdewCeCIbJfLHPsfWbafB4j827E0f65ECJZM1e0O4nhXIxFI2WBBPMUHB71fRUJs27D+OMcs+uWlhYRxWZ9arg2GjxPT/jjOtapEDEcqQkImP1isVSYSBHwRYvh/lHEdfQ2dbru6bSMbF8/74Fft3NDEACDjMMTFSsi3G4hGwoZa9kUsSrFeU1npOEY8sK20DzsBOTb20EHA3eqjZ3zziS/8itgiOxHgZ4UwJ5yO5cZWDC8WTK1zkR+pAUXJzbJPbbsIxarItkdBWTiIu4uKJlQrIj2U94Gq+HeKTNyTFQpDCMjUt4hru5cle9wTq0lPXdH/L+KmUHlggSUgEQqCBNUp+1RYowWQAmgAbBQoLWK0jGOATaYQ1lV6OirHCFCoSIRxWJ/U5tHDpEOXSsbKYFjAKPjQ3NE+EikoHQYYj/49iZdjmiBAdlaXrJymGwA01wS9sGtx8AThQhuuV3xBdTh2UrWMDJYROcpouOrsuXA83IaVEZsSkwoxD+5qCvkohdGDRtWKlwAIiGBMU/knw+Zboak7gXKhWwwmbFa6y2Qi1z87YqGgiwUTrB/bYb6DR0mPt+jSVpXi05DaRGDC2HAKD3k30FCDr1ssXfqOnlkeVyN5vW3vCRY9wP+10jqtgIZ0haGUWdJDxffF7m7OpDE94/AhLozYA8l1V2cqcXWmw2cWlTjdt9tErMtXktfnSCGugTwoqogk0okbmJQrZlD3bX4dSNk2MKebW4IuO+Sig5ghAVPzTOvxKIFah+VFHcmfrVtQoiBdVb7ex3O5tDlvU1ptb9QHZocweSNfTTJzB3E8wt9tkHFm/dkvvKPSmkhyu1n/F2Etnb5O3FIu7vm0U5SZWmxqr9G+NLSfWL/IUy6iBArZa6QjEDgIaPRdJDl/z3GURPgv8xuP6ecrS5t51ZjCyRutNVfLNvAZxOQk1J3xMsWuCgbTgaS+7QGKNS7yAIvbXfBAXhtzMXhxW9WqGuFM3X2WjBH6Ek8WmnTYLStsblqum/Ru5ciQSsd2u6oJ+iD703qrXsebcSDDtStsDuwsTslQ5uqYUwsycWwAql9he0MQsvtBnlD/2f+tKw5TV0glXdh5MLevXjafLyHAs0Ki8nJ9cGNYR3Hb3XVCEioF1A4+nI740Wh9K8rZGv0f5gmIDwtTOofrdcD0L54tES2jE8JZLi0aEDzFTqoJvir9OAaNeJ9HBYfHIOrCrqYFhXCVGHXXf7aOtzE+hu4zsNvv2D0zifM5GETe1xhkCblJei2FmhwD9LmCokr9bE9KwDADsmgJqeWuGoxfWIpdEv/SdZE0ZXhlNQIHl7HxNEY/KI +controlbits_kat9_mceliece348864_pi = 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 +controlbits_kat9_mceliece348864_out_ref = 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 +controlbits_kat8_mceliece348864_pi = 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 +controlbits_kat8_mceliece348864_out_ref = 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From 5e4053f152e45833a3b253b987cd815959658a0e Mon Sep 17 00:00:00 2001 From: octeep Date: Wed, 12 Oct 2022 03:28:30 +0100 Subject: [PATCH 03/14] add more documentation --- kem/mceliece/mceliece348864/benes.go | 6 +++ kem/mceliece/mceliece348864/mceliece.go | 49 +++++++++++++++++- kem/mceliece/mceliece348864/pk_gen.go | 6 +++ kem/mceliece/mceliece348864f/benes.go | 6 +++ kem/mceliece/mceliece348864f/mceliece.go | 49 +++++++++++++++++- kem/mceliece/mceliece348864f/pk_gen.go | 9 ++++ kem/mceliece/mceliece460896/benes.go | 12 +++++ kem/mceliece/mceliece460896/mceliece.go | 49 +++++++++++++++++- kem/mceliece/mceliece460896/pk_gen.go | 6 +++ kem/mceliece/mceliece460896f/benes.go | 12 +++++ kem/mceliece/mceliece460896f/mceliece.go | 49 +++++++++++++++++- kem/mceliece/mceliece460896f/pk_gen.go | 9 ++++ kem/mceliece/mceliece6688128/benes.go | 12 +++++ kem/mceliece/mceliece6688128/mceliece.go | 49 +++++++++++++++++- kem/mceliece/mceliece6688128/pk_gen.go | 6 +++ kem/mceliece/mceliece6688128f/benes.go | 12 +++++ kem/mceliece/mceliece6688128f/mceliece.go | 49 +++++++++++++++++- kem/mceliece/mceliece6688128f/pk_gen.go | 9 ++++ kem/mceliece/mceliece6960119/benes.go | 12 +++++ kem/mceliece/mceliece6960119/mceliece.go | 36 +++++++++++++ kem/mceliece/mceliece6960119/operations.go | 16 +++++- kem/mceliece/mceliece6960119/pk_gen.go | 6 +++ kem/mceliece/mceliece6960119f/benes.go | 12 +++++ kem/mceliece/mceliece6960119f/mceliece.go | 36 +++++++++++++ kem/mceliece/mceliece6960119f/operations.go | 16 +++++- kem/mceliece/mceliece6960119f/pk_gen.go | 9 ++++ kem/mceliece/mceliece8192128/benes.go | 12 +++++ kem/mceliece/mceliece8192128/mceliece.go | 49 +++++++++++++++++- kem/mceliece/mceliece8192128/pk_gen.go | 6 +++ kem/mceliece/mceliece8192128f/benes.go | 12 +++++ kem/mceliece/mceliece8192128f/mceliece.go | 49 +++++++++++++++++- kem/mceliece/mceliece8192128f/pk_gen.go | 9 ++++ kem/mceliece/templates/benes_348864.templ.go | 6 +++ kem/mceliece/templates/benes_other.templ.go | 12 +++++ kem/mceliece/templates/mceliece.templ.go | 51 ++++++++++++++++++- .../templates/operations_6960119.templ.go | 16 +++++- kem/mceliece/templates/pk_gen.templ.go | 9 ++++ 37 files changed, 749 insertions(+), 24 deletions(-) diff --git a/kem/mceliece/mceliece348864/benes.go b/kem/mceliece/mceliece348864/benes.go index e07e51afe..a72040b03 100644 --- a/kem/mceliece/mceliece348864/benes.go +++ b/kem/mceliece/mceliece348864/benes.go @@ -2,6 +2,7 @@ package mceliece348864 +// Layers of the Beneš network. The required size of `data` and `bits` depends on the value `lgs`. func layer(data, bits []uint64, lgs int) { index := 0 s := 1 << lgs @@ -16,6 +17,11 @@ func layer(data, bits []uint64, lgs int) { } } +// Apply Beneš network in-place to array `r` based on configuration `bits`. +// Here, `r` is a sequence of bits to be permuted. +// `bits` defines the condition bits configuring the Beneš network and +// Note that this differs from the C implementation, missing the `rev` parameter. +// This is because `rev` is not used throughout the entire codebase. func applyBenes(r *[512]byte, bits *[condBytes]byte) { bs := [64]uint64{} cond := [64]uint64{} diff --git a/kem/mceliece/mceliece348864/mceliece.go b/kem/mceliece/mceliece348864/mceliece.go index 41640e9c8..92a82da78 100644 --- a/kem/mceliece/mceliece348864/mceliece.go +++ b/kem/mceliece/mceliece348864/mceliece.go @@ -47,6 +47,15 @@ type ( randFunc = func(pool []byte) error ) +// KEM Keypair generation. +// +// The structure of the secret key is given by the following segments: +// (32 bytes seed, 8 bytes pivots, IRR_BYTES bytes, COND_BYTES bytes, SYS_N/8 bytes). +// The structure of the public key is simple: a matrix of PK_NROWS times PK_ROW_BYTES bytes. +// +// `entropy` corresponds to the l-bit input seed in SeededKeyGen from the specification. +// The keypair is deterministically generated from `entropy`. +// If the generated keypair is invalid, a new seed will be generated by hashing `entropy` to try again. func deriveKeyPair(entropy []byte) (*PublicKey, *PrivateKey) { const ( irrPolys = sysN/8 + (1< +// Uses `s` as input (sequence of field elements) +// and `out` as output (minimal polynomial of `s`) func bm(out *[sysT + 1]gf, s *[2 * sysT]gf) { var L, mle, mne uint16 T := [sysT + 1]gf{} @@ -370,6 +400,10 @@ func bm(out *[sysT + 1]gf, s *[2 * sysT]gf) { } } +// Niederreiter decryption with the Berlekamp decoder. +// +// It takes as input the secret key `sk` and a ciphertext `c`. +// It returns an error vector in `e` and the return value indicates success (0) or failure (1) func decrypt(e *[sysN / 8]byte, sk []byte, c *[syndBytes]byte) uint16 { var check uint16 w := 0 @@ -500,6 +534,7 @@ func polyMul(out *[sysT]gf, a *[sysT]gf, b *[sysT]gf) { } } +// Compute transposition of `in` and store it in `out` func transpose64x64(out, in *[64]uint64) { masks := [6][2]uint64{ {0x5555555555555555, 0xAAAAAAAAAAAAAAAA}, @@ -525,6 +560,7 @@ func transpose64x64(out, in *[64]uint64) { } } +// given polynomial `f`, evaluate `f` at `a` func eval(f *[sysT + 1]gf, a gf) gf { r := f[sysT] for i := sysT - 1; i >= 0; i-- { @@ -534,12 +570,15 @@ func eval(f *[sysT + 1]gf, a gf) gf { return r } +// Given polynomial `f` and a list of field elements `l`, +// return the roots `out` satisfying `[ f(a) for a in L ]` func root(out *[sysN]gf, f *[sysT + 1]gf, l *[sysN]gf) { for i := 0; i < sysN; i++ { out[i] = eval(f, l[i]) } } +// performs SHAKE-256 on `input` and store the hash in `output` func shake256(output []byte, input []byte) error { shake := sha3.NewShake256() _, err := shake.Write(input) @@ -553,11 +592,13 @@ func shake256(output []byte, input []byte) error { return nil } +// store field element `a` in the first 2 bytes of `dest` func storeGf(dest []byte, a gf) { dest[0] = byte(a & 0xFF) dest[1] = byte(a >> 8) } +// load a field element from the first 2 bytes of `src` func loadGf(src []byte) gf { a := uint16(src[1]) a <<= 8 @@ -565,6 +606,7 @@ func loadGf(src []byte) gf { return a & gfMask } +// load a 32-bit little endian integer from `in` func load4(in []byte) uint32 { ret := uint32(in[3]) for i := 2; i >= 0; i-- { @@ -574,6 +616,7 @@ func load4(in []byte) uint32 { return ret } +// store a 64-bit integer to `out` in little endian func store8(out []byte, in uint64) { out[0] = byte((in >> 0x00) & 0xFF) out[1] = byte((in >> 0x08) & 0xFF) @@ -585,6 +628,7 @@ func store8(out []byte, in uint64) { out[7] = byte((in >> 0x38) & 0xFF) } +// load a 64-bit little endian integer from `in` func load8(in []byte) uint64 { ret := uint64(in[7]) for i := 6; i >= 0; i-- { @@ -594,6 +638,7 @@ func load8(in []byte) uint64 { return ret } +// reverse the bits in the field element `a` func bitRev(a gf) gf { a = ((a & 0x00FF) << 8) | ((a & 0xFF00) >> 8) a = ((a & 0x0F0F) << 4) | ((a & 0xF0F0) >> 4) diff --git a/kem/mceliece/mceliece348864/pk_gen.go b/kem/mceliece/mceliece348864/pk_gen.go index 56459adf6..85599ada0 100644 --- a/kem/mceliece/mceliece348864/pk_gen.go +++ b/kem/mceliece/mceliece348864/pk_gen.go @@ -8,6 +8,12 @@ import ( ) // nolint:unparam +// Public key generation. Generate the public key `pk`, +// permutation `pi` and pivot element `pivots` based on the +// secret key `sk` and permutation `perm` provided. +// `pk` has `max(1 << GFBITS, SYS_N)` elements which is +// 4096 for mceliece348864 and 8192 for mceliece8192128. +// `sk` has `2 * SYS_T` elements and perm `1 << GFBITS`. func pkGen(pk *[pkNRows * pkRowBytes]byte, sk []byte, perm *[1 << gfBits]uint32, pi *[1 << gfBits]int16, pivots *uint64) bool { buf := [1 << gfBits]uint64{} mat := [pkNRows][sysN / 8]byte{} diff --git a/kem/mceliece/mceliece348864f/benes.go b/kem/mceliece/mceliece348864f/benes.go index 5c153a4f5..7d96e308f 100644 --- a/kem/mceliece/mceliece348864f/benes.go +++ b/kem/mceliece/mceliece348864f/benes.go @@ -2,6 +2,7 @@ package mceliece348864f +// Layers of the Beneš network. The required size of `data` and `bits` depends on the value `lgs`. func layer(data, bits []uint64, lgs int) { index := 0 s := 1 << lgs @@ -16,6 +17,11 @@ func layer(data, bits []uint64, lgs int) { } } +// Apply Beneš network in-place to array `r` based on configuration `bits`. +// Here, `r` is a sequence of bits to be permuted. +// `bits` defines the condition bits configuring the Beneš network and +// Note that this differs from the C implementation, missing the `rev` parameter. +// This is because `rev` is not used throughout the entire codebase. func applyBenes(r *[512]byte, bits *[condBytes]byte) { bs := [64]uint64{} cond := [64]uint64{} diff --git a/kem/mceliece/mceliece348864f/mceliece.go b/kem/mceliece/mceliece348864f/mceliece.go index 6d9386366..55ebc35e2 100644 --- a/kem/mceliece/mceliece348864f/mceliece.go +++ b/kem/mceliece/mceliece348864f/mceliece.go @@ -47,6 +47,15 @@ type ( randFunc = func(pool []byte) error ) +// KEM Keypair generation. +// +// The structure of the secret key is given by the following segments: +// (32 bytes seed, 8 bytes pivots, IRR_BYTES bytes, COND_BYTES bytes, SYS_N/8 bytes). +// The structure of the public key is simple: a matrix of PK_NROWS times PK_ROW_BYTES bytes. +// +// `entropy` corresponds to the l-bit input seed in SeededKeyGen from the specification. +// The keypair is deterministically generated from `entropy`. +// If the generated keypair is invalid, a new seed will be generated by hashing `entropy` to try again. func deriveKeyPair(entropy []byte) (*PublicKey, *PrivateKey) { const ( irrPolys = sysN/8 + (1< +// Uses `s` as input (sequence of field elements) +// and `out` as output (minimal polynomial of `s`) func bm(out *[sysT + 1]gf, s *[2 * sysT]gf) { var L, mle, mne uint16 T := [sysT + 1]gf{} @@ -370,6 +400,10 @@ func bm(out *[sysT + 1]gf, s *[2 * sysT]gf) { } } +// Niederreiter decryption with the Berlekamp decoder. +// +// It takes as input the secret key `sk` and a ciphertext `c`. +// It returns an error vector in `e` and the return value indicates success (0) or failure (1) func decrypt(e *[sysN / 8]byte, sk []byte, c *[syndBytes]byte) uint16 { var check uint16 w := 0 @@ -500,6 +534,7 @@ func polyMul(out *[sysT]gf, a *[sysT]gf, b *[sysT]gf) { } } +// Compute transposition of `in` and store it in `out` func transpose64x64(out, in *[64]uint64) { masks := [6][2]uint64{ {0x5555555555555555, 0xAAAAAAAAAAAAAAAA}, @@ -525,6 +560,7 @@ func transpose64x64(out, in *[64]uint64) { } } +// given polynomial `f`, evaluate `f` at `a` func eval(f *[sysT + 1]gf, a gf) gf { r := f[sysT] for i := sysT - 1; i >= 0; i-- { @@ -534,12 +570,15 @@ func eval(f *[sysT + 1]gf, a gf) gf { return r } +// Given polynomial `f` and a list of field elements `l`, +// return the roots `out` satisfying `[ f(a) for a in L ]` func root(out *[sysN]gf, f *[sysT + 1]gf, l *[sysN]gf) { for i := 0; i < sysN; i++ { out[i] = eval(f, l[i]) } } +// performs SHAKE-256 on `input` and store the hash in `output` func shake256(output []byte, input []byte) error { shake := sha3.NewShake256() _, err := shake.Write(input) @@ -553,11 +592,13 @@ func shake256(output []byte, input []byte) error { return nil } +// store field element `a` in the first 2 bytes of `dest` func storeGf(dest []byte, a gf) { dest[0] = byte(a & 0xFF) dest[1] = byte(a >> 8) } +// load a field element from the first 2 bytes of `src` func loadGf(src []byte) gf { a := uint16(src[1]) a <<= 8 @@ -565,6 +606,7 @@ func loadGf(src []byte) gf { return a & gfMask } +// load a 32-bit little endian integer from `in` func load4(in []byte) uint32 { ret := uint32(in[3]) for i := 2; i >= 0; i-- { @@ -574,6 +616,7 @@ func load4(in []byte) uint32 { return ret } +// store a 64-bit integer to `out` in little endian func store8(out []byte, in uint64) { out[0] = byte((in >> 0x00) & 0xFF) out[1] = byte((in >> 0x08) & 0xFF) @@ -585,6 +628,7 @@ func store8(out []byte, in uint64) { out[7] = byte((in >> 0x38) & 0xFF) } +// load a 64-bit little endian integer from `in` func load8(in []byte) uint64 { ret := uint64(in[7]) for i := 6; i >= 0; i-- { @@ -594,6 +638,7 @@ func load8(in []byte) uint64 { return ret } +// reverse the bits in the field element `a` func bitRev(a gf) gf { a = ((a & 0x00FF) << 8) | ((a & 0xFF00) >> 8) a = ((a & 0x0F0F) << 4) | ((a & 0xF0F0) >> 4) diff --git a/kem/mceliece/mceliece348864f/pk_gen.go b/kem/mceliece/mceliece348864f/pk_gen.go index c3d71f0e6..206e532ed 100644 --- a/kem/mceliece/mceliece348864f/pk_gen.go +++ b/kem/mceliece/mceliece348864f/pk_gen.go @@ -7,6 +7,7 @@ import ( "github.com/cloudflare/circl/math/gf4096" ) +// Return number of trailing zeros of the non-zero input `input` func ctz(in uint64) int { m := 0 r := 0 @@ -18,6 +19,7 @@ func ctz(in uint64) int { return r } +// Takes two 16-bit integers and determines whether they are equal (all bits set) or different (0) func sameMask64(x, y uint16) uint64 { mask := uint64(x ^ y) mask -= 1 @@ -26,6 +28,7 @@ func sameMask64(x, y uint16) uint64 { return mask } +// Move columns in matrix `mat` func movColumns(mat *[pkNRows][sysN / 8]byte, pi []int16, pivots *uint64) bool { buf := [64]uint64{} ctzList := [32]uint64{} @@ -99,6 +102,12 @@ func movColumns(mat *[pkNRows][sysN / 8]byte, pi []int16, pivots *uint64) bool { } // nolint:unparam +// Public key generation. Generate the public key `pk`, +// permutation `pi` and pivot element `pivots` based on the +// secret key `sk` and permutation `perm` provided. +// `pk` has `max(1 << GFBITS, SYS_N)` elements which is +// 4096 for mceliece348864 and 8192 for mceliece8192128. +// `sk` has `2 * SYS_T` elements and perm `1 << GFBITS`. func pkGen(pk *[pkNRows * pkRowBytes]byte, sk []byte, perm *[1 << gfBits]uint32, pi *[1 << gfBits]int16, pivots *uint64) bool { buf := [1 << gfBits]uint64{} mat := [pkNRows][sysN / 8]byte{} diff --git a/kem/mceliece/mceliece460896/benes.go b/kem/mceliece/mceliece460896/benes.go index 5610405dc..323e9567c 100644 --- a/kem/mceliece/mceliece460896/benes.go +++ b/kem/mceliece/mceliece460896/benes.go @@ -2,6 +2,7 @@ package mceliece460896 +// Layers of the Beneš network. The required size of `data` and `bits` depends on the value `lgs`. func layerIn(data *[2][64]uint64, bits *[64]uint64, lgs int) { s := 1 << lgs index := 0 @@ -22,6 +23,12 @@ func layerIn(data *[2][64]uint64, bits *[64]uint64, lgs int) { } } +// Exterior layers of the Beneš network. The length of `bits` depends on the value of `lgs`. +// Note that this implementation is quite different from the C implementation. +// However, it does make sense. Whereas the C implementation uses pointer arithmetic to access +// the entire array `data`, this implementation always considers `data` as two-dimensional array. +// The C implementation uses 128 as upper bound (because the array contains 128 elements), +// but this implementation has 64 elements per subarray and needs case distinctions at different places. func layerEx(data *[2][64]uint64, bits *[64]uint64, lgs int) { data0Idx := 0 data1Idx := 32 @@ -56,6 +63,11 @@ func layerEx(data *[2][64]uint64, bits *[64]uint64, lgs int) { } } +// Apply Beneš network in-place to array `r` based on configuration `bits`. +// Here, `r` is a sequence of bits to be permuted. +// `bits` defines the condition bits configuring the Beneš network and +// Note that this differs from the C implementation, missing the `rev` parameter. +// This is because `rev` is not used throughout the entire codebase. func applyBenes(r *[1024]byte, bits *[condBytes]byte) { rIntV := [2][64]uint64{} rIntH := [2][64]uint64{} diff --git a/kem/mceliece/mceliece460896/mceliece.go b/kem/mceliece/mceliece460896/mceliece.go index 6c5f8e038..8d16af4a9 100644 --- a/kem/mceliece/mceliece460896/mceliece.go +++ b/kem/mceliece/mceliece460896/mceliece.go @@ -47,6 +47,15 @@ type ( randFunc = func(pool []byte) error ) +// KEM Keypair generation. +// +// The structure of the secret key is given by the following segments: +// (32 bytes seed, 8 bytes pivots, IRR_BYTES bytes, COND_BYTES bytes, SYS_N/8 bytes). +// The structure of the public key is simple: a matrix of PK_NROWS times PK_ROW_BYTES bytes. +// +// `entropy` corresponds to the l-bit input seed in SeededKeyGen from the specification. +// The keypair is deterministically generated from `entropy`. +// If the generated keypair is invalid, a new seed will be generated by hashing `entropy` to try again. func deriveKeyPair(entropy []byte) (*PublicKey, *PrivateKey) { const ( irrPolys = sysN/8 + (1< +// Uses `s` as input (sequence of field elements) +// and `out` as output (minimal polynomial of `s`) func bm(out *[sysT + 1]gf, s *[2 * sysT]gf) { var L, mle, mne uint16 T := [sysT + 1]gf{} @@ -370,6 +400,10 @@ func bm(out *[sysT + 1]gf, s *[2 * sysT]gf) { } } +// Niederreiter decryption with the Berlekamp decoder. +// +// It takes as input the secret key `sk` and a ciphertext `c`. +// It returns an error vector in `e` and the return value indicates success (0) or failure (1) func decrypt(e *[sysN / 8]byte, sk []byte, c *[syndBytes]byte) uint16 { var check uint16 w := 0 @@ -501,6 +535,7 @@ func polyMul(out *[sysT]gf, a *[sysT]gf, b *[sysT]gf) { } } +// Compute transposition of `in` and store it in `out` func transpose64x64(out, in *[64]uint64) { masks := [6][2]uint64{ {0x5555555555555555, 0xAAAAAAAAAAAAAAAA}, @@ -526,6 +561,7 @@ func transpose64x64(out, in *[64]uint64) { } } +// given polynomial `f`, evaluate `f` at `a` func eval(f *[sysT + 1]gf, a gf) gf { r := f[sysT] for i := sysT - 1; i >= 0; i-- { @@ -535,12 +571,15 @@ func eval(f *[sysT + 1]gf, a gf) gf { return r } +// Given polynomial `f` and a list of field elements `l`, +// return the roots `out` satisfying `[ f(a) for a in L ]` func root(out *[sysN]gf, f *[sysT + 1]gf, l *[sysN]gf) { for i := 0; i < sysN; i++ { out[i] = eval(f, l[i]) } } +// performs SHAKE-256 on `input` and store the hash in `output` func shake256(output []byte, input []byte) error { shake := sha3.NewShake256() _, err := shake.Write(input) @@ -554,11 +593,13 @@ func shake256(output []byte, input []byte) error { return nil } +// store field element `a` in the first 2 bytes of `dest` func storeGf(dest []byte, a gf) { dest[0] = byte(a & 0xFF) dest[1] = byte(a >> 8) } +// load a field element from the first 2 bytes of `src` func loadGf(src []byte) gf { a := uint16(src[1]) a <<= 8 @@ -566,6 +607,7 @@ func loadGf(src []byte) gf { return a & gfMask } +// load a 32-bit little endian integer from `in` func load4(in []byte) uint32 { ret := uint32(in[3]) for i := 2; i >= 0; i-- { @@ -575,6 +617,7 @@ func load4(in []byte) uint32 { return ret } +// store a 64-bit integer to `out` in little endian func store8(out []byte, in uint64) { out[0] = byte((in >> 0x00) & 0xFF) out[1] = byte((in >> 0x08) & 0xFF) @@ -586,6 +629,7 @@ func store8(out []byte, in uint64) { out[7] = byte((in >> 0x38) & 0xFF) } +// load a 64-bit little endian integer from `in` func load8(in []byte) uint64 { ret := uint64(in[7]) for i := 6; i >= 0; i-- { @@ -595,6 +639,7 @@ func load8(in []byte) uint64 { return ret } +// reverse the bits in the field element `a` func bitRev(a gf) gf { a = ((a & 0x00FF) << 8) | ((a & 0xFF00) >> 8) a = ((a & 0x0F0F) << 4) | ((a & 0xF0F0) >> 4) diff --git a/kem/mceliece/mceliece460896/pk_gen.go b/kem/mceliece/mceliece460896/pk_gen.go index 30e75b7e9..cb489140f 100644 --- a/kem/mceliece/mceliece460896/pk_gen.go +++ b/kem/mceliece/mceliece460896/pk_gen.go @@ -8,6 +8,12 @@ import ( ) // nolint:unparam +// Public key generation. Generate the public key `pk`, +// permutation `pi` and pivot element `pivots` based on the +// secret key `sk` and permutation `perm` provided. +// `pk` has `max(1 << GFBITS, SYS_N)` elements which is +// 4096 for mceliece348864 and 8192 for mceliece8192128. +// `sk` has `2 * SYS_T` elements and perm `1 << GFBITS`. func pkGen(pk *[pkNRows * pkRowBytes]byte, sk []byte, perm *[1 << gfBits]uint32, pi *[1 << gfBits]int16, pivots *uint64) bool { buf := [1 << gfBits]uint64{} mat := [pkNRows][sysN / 8]byte{} diff --git a/kem/mceliece/mceliece460896f/benes.go b/kem/mceliece/mceliece460896f/benes.go index 7b6ed4ef6..cc855b4ae 100644 --- a/kem/mceliece/mceliece460896f/benes.go +++ b/kem/mceliece/mceliece460896f/benes.go @@ -2,6 +2,7 @@ package mceliece460896f +// Layers of the Beneš network. The required size of `data` and `bits` depends on the value `lgs`. func layerIn(data *[2][64]uint64, bits *[64]uint64, lgs int) { s := 1 << lgs index := 0 @@ -22,6 +23,12 @@ func layerIn(data *[2][64]uint64, bits *[64]uint64, lgs int) { } } +// Exterior layers of the Beneš network. The length of `bits` depends on the value of `lgs`. +// Note that this implementation is quite different from the C implementation. +// However, it does make sense. Whereas the C implementation uses pointer arithmetic to access +// the entire array `data`, this implementation always considers `data` as two-dimensional array. +// The C implementation uses 128 as upper bound (because the array contains 128 elements), +// but this implementation has 64 elements per subarray and needs case distinctions at different places. func layerEx(data *[2][64]uint64, bits *[64]uint64, lgs int) { data0Idx := 0 data1Idx := 32 @@ -56,6 +63,11 @@ func layerEx(data *[2][64]uint64, bits *[64]uint64, lgs int) { } } +// Apply Beneš network in-place to array `r` based on configuration `bits`. +// Here, `r` is a sequence of bits to be permuted. +// `bits` defines the condition bits configuring the Beneš network and +// Note that this differs from the C implementation, missing the `rev` parameter. +// This is because `rev` is not used throughout the entire codebase. func applyBenes(r *[1024]byte, bits *[condBytes]byte) { rIntV := [2][64]uint64{} rIntH := [2][64]uint64{} diff --git a/kem/mceliece/mceliece460896f/mceliece.go b/kem/mceliece/mceliece460896f/mceliece.go index 63f79809f..0df25b6f5 100644 --- a/kem/mceliece/mceliece460896f/mceliece.go +++ b/kem/mceliece/mceliece460896f/mceliece.go @@ -47,6 +47,15 @@ type ( randFunc = func(pool []byte) error ) +// KEM Keypair generation. +// +// The structure of the secret key is given by the following segments: +// (32 bytes seed, 8 bytes pivots, IRR_BYTES bytes, COND_BYTES bytes, SYS_N/8 bytes). +// The structure of the public key is simple: a matrix of PK_NROWS times PK_ROW_BYTES bytes. +// +// `entropy` corresponds to the l-bit input seed in SeededKeyGen from the specification. +// The keypair is deterministically generated from `entropy`. +// If the generated keypair is invalid, a new seed will be generated by hashing `entropy` to try again. func deriveKeyPair(entropy []byte) (*PublicKey, *PrivateKey) { const ( irrPolys = sysN/8 + (1< +// Uses `s` as input (sequence of field elements) +// and `out` as output (minimal polynomial of `s`) func bm(out *[sysT + 1]gf, s *[2 * sysT]gf) { var L, mle, mne uint16 T := [sysT + 1]gf{} @@ -370,6 +400,10 @@ func bm(out *[sysT + 1]gf, s *[2 * sysT]gf) { } } +// Niederreiter decryption with the Berlekamp decoder. +// +// It takes as input the secret key `sk` and a ciphertext `c`. +// It returns an error vector in `e` and the return value indicates success (0) or failure (1) func decrypt(e *[sysN / 8]byte, sk []byte, c *[syndBytes]byte) uint16 { var check uint16 w := 0 @@ -501,6 +535,7 @@ func polyMul(out *[sysT]gf, a *[sysT]gf, b *[sysT]gf) { } } +// Compute transposition of `in` and store it in `out` func transpose64x64(out, in *[64]uint64) { masks := [6][2]uint64{ {0x5555555555555555, 0xAAAAAAAAAAAAAAAA}, @@ -526,6 +561,7 @@ func transpose64x64(out, in *[64]uint64) { } } +// given polynomial `f`, evaluate `f` at `a` func eval(f *[sysT + 1]gf, a gf) gf { r := f[sysT] for i := sysT - 1; i >= 0; i-- { @@ -535,12 +571,15 @@ func eval(f *[sysT + 1]gf, a gf) gf { return r } +// Given polynomial `f` and a list of field elements `l`, +// return the roots `out` satisfying `[ f(a) for a in L ]` func root(out *[sysN]gf, f *[sysT + 1]gf, l *[sysN]gf) { for i := 0; i < sysN; i++ { out[i] = eval(f, l[i]) } } +// performs SHAKE-256 on `input` and store the hash in `output` func shake256(output []byte, input []byte) error { shake := sha3.NewShake256() _, err := shake.Write(input) @@ -554,11 +593,13 @@ func shake256(output []byte, input []byte) error { return nil } +// store field element `a` in the first 2 bytes of `dest` func storeGf(dest []byte, a gf) { dest[0] = byte(a & 0xFF) dest[1] = byte(a >> 8) } +// load a field element from the first 2 bytes of `src` func loadGf(src []byte) gf { a := uint16(src[1]) a <<= 8 @@ -566,6 +607,7 @@ func loadGf(src []byte) gf { return a & gfMask } +// load a 32-bit little endian integer from `in` func load4(in []byte) uint32 { ret := uint32(in[3]) for i := 2; i >= 0; i-- { @@ -575,6 +617,7 @@ func load4(in []byte) uint32 { return ret } +// store a 64-bit integer to `out` in little endian func store8(out []byte, in uint64) { out[0] = byte((in >> 0x00) & 0xFF) out[1] = byte((in >> 0x08) & 0xFF) @@ -586,6 +629,7 @@ func store8(out []byte, in uint64) { out[7] = byte((in >> 0x38) & 0xFF) } +// load a 64-bit little endian integer from `in` func load8(in []byte) uint64 { ret := uint64(in[7]) for i := 6; i >= 0; i-- { @@ -595,6 +639,7 @@ func load8(in []byte) uint64 { return ret } +// reverse the bits in the field element `a` func bitRev(a gf) gf { a = ((a & 0x00FF) << 8) | ((a & 0xFF00) >> 8) a = ((a & 0x0F0F) << 4) | ((a & 0xF0F0) >> 4) diff --git a/kem/mceliece/mceliece460896f/pk_gen.go b/kem/mceliece/mceliece460896f/pk_gen.go index 0960edebf..91a7c4a41 100644 --- a/kem/mceliece/mceliece460896f/pk_gen.go +++ b/kem/mceliece/mceliece460896f/pk_gen.go @@ -7,6 +7,7 @@ import ( "github.com/cloudflare/circl/math/gf8192" ) +// Return number of trailing zeros of the non-zero input `input` func ctz(in uint64) int { m := 0 r := 0 @@ -18,6 +19,7 @@ func ctz(in uint64) int { return r } +// Takes two 16-bit integers and determines whether they are equal (all bits set) or different (0) func sameMask64(x, y uint16) uint64 { mask := uint64(x ^ y) mask -= 1 @@ -26,6 +28,7 @@ func sameMask64(x, y uint16) uint64 { return mask } +// Move columns in matrix `mat` func movColumns(mat *[pkNRows][sysN / 8]byte, pi []int16, pivots *uint64) bool { buf := [64]uint64{} ctzList := [32]uint64{} @@ -99,6 +102,12 @@ func movColumns(mat *[pkNRows][sysN / 8]byte, pi []int16, pivots *uint64) bool { } // nolint:unparam +// Public key generation. Generate the public key `pk`, +// permutation `pi` and pivot element `pivots` based on the +// secret key `sk` and permutation `perm` provided. +// `pk` has `max(1 << GFBITS, SYS_N)` elements which is +// 4096 for mceliece348864 and 8192 for mceliece8192128. +// `sk` has `2 * SYS_T` elements and perm `1 << GFBITS`. func pkGen(pk *[pkNRows * pkRowBytes]byte, sk []byte, perm *[1 << gfBits]uint32, pi *[1 << gfBits]int16, pivots *uint64) bool { buf := [1 << gfBits]uint64{} mat := [pkNRows][sysN / 8]byte{} diff --git a/kem/mceliece/mceliece6688128/benes.go b/kem/mceliece/mceliece6688128/benes.go index a1364a7ee..b6b6e8e6c 100644 --- a/kem/mceliece/mceliece6688128/benes.go +++ b/kem/mceliece/mceliece6688128/benes.go @@ -2,6 +2,7 @@ package mceliece6688128 +// Layers of the Beneš network. The required size of `data` and `bits` depends on the value `lgs`. func layerIn(data *[2][64]uint64, bits *[64]uint64, lgs int) { s := 1 << lgs index := 0 @@ -22,6 +23,12 @@ func layerIn(data *[2][64]uint64, bits *[64]uint64, lgs int) { } } +// Exterior layers of the Beneš network. The length of `bits` depends on the value of `lgs`. +// Note that this implementation is quite different from the C implementation. +// However, it does make sense. Whereas the C implementation uses pointer arithmetic to access +// the entire array `data`, this implementation always considers `data` as two-dimensional array. +// The C implementation uses 128 as upper bound (because the array contains 128 elements), +// but this implementation has 64 elements per subarray and needs case distinctions at different places. func layerEx(data *[2][64]uint64, bits *[64]uint64, lgs int) { data0Idx := 0 data1Idx := 32 @@ -56,6 +63,11 @@ func layerEx(data *[2][64]uint64, bits *[64]uint64, lgs int) { } } +// Apply Beneš network in-place to array `r` based on configuration `bits`. +// Here, `r` is a sequence of bits to be permuted. +// `bits` defines the condition bits configuring the Beneš network and +// Note that this differs from the C implementation, missing the `rev` parameter. +// This is because `rev` is not used throughout the entire codebase. func applyBenes(r *[1024]byte, bits *[condBytes]byte) { rIntV := [2][64]uint64{} rIntH := [2][64]uint64{} diff --git a/kem/mceliece/mceliece6688128/mceliece.go b/kem/mceliece/mceliece6688128/mceliece.go index a026082b8..738519149 100644 --- a/kem/mceliece/mceliece6688128/mceliece.go +++ b/kem/mceliece/mceliece6688128/mceliece.go @@ -47,6 +47,15 @@ type ( randFunc = func(pool []byte) error ) +// KEM Keypair generation. +// +// The structure of the secret key is given by the following segments: +// (32 bytes seed, 8 bytes pivots, IRR_BYTES bytes, COND_BYTES bytes, SYS_N/8 bytes). +// The structure of the public key is simple: a matrix of PK_NROWS times PK_ROW_BYTES bytes. +// +// `entropy` corresponds to the l-bit input seed in SeededKeyGen from the specification. +// The keypair is deterministically generated from `entropy`. +// If the generated keypair is invalid, a new seed will be generated by hashing `entropy` to try again. func deriveKeyPair(entropy []byte) (*PublicKey, *PrivateKey) { const ( irrPolys = sysN/8 + (1< +// Uses `s` as input (sequence of field elements) +// and `out` as output (minimal polynomial of `s`) func bm(out *[sysT + 1]gf, s *[2 * sysT]gf) { var L, mle, mne uint16 T := [sysT + 1]gf{} @@ -370,6 +400,10 @@ func bm(out *[sysT + 1]gf, s *[2 * sysT]gf) { } } +// Niederreiter decryption with the Berlekamp decoder. +// +// It takes as input the secret key `sk` and a ciphertext `c`. +// It returns an error vector in `e` and the return value indicates success (0) or failure (1) func decrypt(e *[sysN / 8]byte, sk []byte, c *[syndBytes]byte) uint16 { var check uint16 w := 0 @@ -501,6 +535,7 @@ func polyMul(out *[sysT]gf, a *[sysT]gf, b *[sysT]gf) { } } +// Compute transposition of `in` and store it in `out` func transpose64x64(out, in *[64]uint64) { masks := [6][2]uint64{ {0x5555555555555555, 0xAAAAAAAAAAAAAAAA}, @@ -526,6 +561,7 @@ func transpose64x64(out, in *[64]uint64) { } } +// given polynomial `f`, evaluate `f` at `a` func eval(f *[sysT + 1]gf, a gf) gf { r := f[sysT] for i := sysT - 1; i >= 0; i-- { @@ -535,12 +571,15 @@ func eval(f *[sysT + 1]gf, a gf) gf { return r } +// Given polynomial `f` and a list of field elements `l`, +// return the roots `out` satisfying `[ f(a) for a in L ]` func root(out *[sysN]gf, f *[sysT + 1]gf, l *[sysN]gf) { for i := 0; i < sysN; i++ { out[i] = eval(f, l[i]) } } +// performs SHAKE-256 on `input` and store the hash in `output` func shake256(output []byte, input []byte) error { shake := sha3.NewShake256() _, err := shake.Write(input) @@ -554,11 +593,13 @@ func shake256(output []byte, input []byte) error { return nil } +// store field element `a` in the first 2 bytes of `dest` func storeGf(dest []byte, a gf) { dest[0] = byte(a & 0xFF) dest[1] = byte(a >> 8) } +// load a field element from the first 2 bytes of `src` func loadGf(src []byte) gf { a := uint16(src[1]) a <<= 8 @@ -566,6 +607,7 @@ func loadGf(src []byte) gf { return a & gfMask } +// load a 32-bit little endian integer from `in` func load4(in []byte) uint32 { ret := uint32(in[3]) for i := 2; i >= 0; i-- { @@ -575,6 +617,7 @@ func load4(in []byte) uint32 { return ret } +// store a 64-bit integer to `out` in little endian func store8(out []byte, in uint64) { out[0] = byte((in >> 0x00) & 0xFF) out[1] = byte((in >> 0x08) & 0xFF) @@ -586,6 +629,7 @@ func store8(out []byte, in uint64) { out[7] = byte((in >> 0x38) & 0xFF) } +// load a 64-bit little endian integer from `in` func load8(in []byte) uint64 { ret := uint64(in[7]) for i := 6; i >= 0; i-- { @@ -595,6 +639,7 @@ func load8(in []byte) uint64 { return ret } +// reverse the bits in the field element `a` func bitRev(a gf) gf { a = ((a & 0x00FF) << 8) | ((a & 0xFF00) >> 8) a = ((a & 0x0F0F) << 4) | ((a & 0xF0F0) >> 4) diff --git a/kem/mceliece/mceliece6688128/pk_gen.go b/kem/mceliece/mceliece6688128/pk_gen.go index c6ca6220d..ee76ce57c 100644 --- a/kem/mceliece/mceliece6688128/pk_gen.go +++ b/kem/mceliece/mceliece6688128/pk_gen.go @@ -8,6 +8,12 @@ import ( ) // nolint:unparam +// Public key generation. Generate the public key `pk`, +// permutation `pi` and pivot element `pivots` based on the +// secret key `sk` and permutation `perm` provided. +// `pk` has `max(1 << GFBITS, SYS_N)` elements which is +// 4096 for mceliece348864 and 8192 for mceliece8192128. +// `sk` has `2 * SYS_T` elements and perm `1 << GFBITS`. func pkGen(pk *[pkNRows * pkRowBytes]byte, sk []byte, perm *[1 << gfBits]uint32, pi *[1 << gfBits]int16, pivots *uint64) bool { buf := [1 << gfBits]uint64{} mat := [pkNRows][sysN / 8]byte{} diff --git a/kem/mceliece/mceliece6688128f/benes.go b/kem/mceliece/mceliece6688128f/benes.go index 4d63aad29..8d2c76ef6 100644 --- a/kem/mceliece/mceliece6688128f/benes.go +++ b/kem/mceliece/mceliece6688128f/benes.go @@ -2,6 +2,7 @@ package mceliece6688128f +// Layers of the Beneš network. The required size of `data` and `bits` depends on the value `lgs`. func layerIn(data *[2][64]uint64, bits *[64]uint64, lgs int) { s := 1 << lgs index := 0 @@ -22,6 +23,12 @@ func layerIn(data *[2][64]uint64, bits *[64]uint64, lgs int) { } } +// Exterior layers of the Beneš network. The length of `bits` depends on the value of `lgs`. +// Note that this implementation is quite different from the C implementation. +// However, it does make sense. Whereas the C implementation uses pointer arithmetic to access +// the entire array `data`, this implementation always considers `data` as two-dimensional array. +// The C implementation uses 128 as upper bound (because the array contains 128 elements), +// but this implementation has 64 elements per subarray and needs case distinctions at different places. func layerEx(data *[2][64]uint64, bits *[64]uint64, lgs int) { data0Idx := 0 data1Idx := 32 @@ -56,6 +63,11 @@ func layerEx(data *[2][64]uint64, bits *[64]uint64, lgs int) { } } +// Apply Beneš network in-place to array `r` based on configuration `bits`. +// Here, `r` is a sequence of bits to be permuted. +// `bits` defines the condition bits configuring the Beneš network and +// Note that this differs from the C implementation, missing the `rev` parameter. +// This is because `rev` is not used throughout the entire codebase. func applyBenes(r *[1024]byte, bits *[condBytes]byte) { rIntV := [2][64]uint64{} rIntH := [2][64]uint64{} diff --git a/kem/mceliece/mceliece6688128f/mceliece.go b/kem/mceliece/mceliece6688128f/mceliece.go index 013e4b14d..2dc80c91a 100644 --- a/kem/mceliece/mceliece6688128f/mceliece.go +++ b/kem/mceliece/mceliece6688128f/mceliece.go @@ -47,6 +47,15 @@ type ( randFunc = func(pool []byte) error ) +// KEM Keypair generation. +// +// The structure of the secret key is given by the following segments: +// (32 bytes seed, 8 bytes pivots, IRR_BYTES bytes, COND_BYTES bytes, SYS_N/8 bytes). +// The structure of the public key is simple: a matrix of PK_NROWS times PK_ROW_BYTES bytes. +// +// `entropy` corresponds to the l-bit input seed in SeededKeyGen from the specification. +// The keypair is deterministically generated from `entropy`. +// If the generated keypair is invalid, a new seed will be generated by hashing `entropy` to try again. func deriveKeyPair(entropy []byte) (*PublicKey, *PrivateKey) { const ( irrPolys = sysN/8 + (1< +// Uses `s` as input (sequence of field elements) +// and `out` as output (minimal polynomial of `s`) func bm(out *[sysT + 1]gf, s *[2 * sysT]gf) { var L, mle, mne uint16 T := [sysT + 1]gf{} @@ -370,6 +400,10 @@ func bm(out *[sysT + 1]gf, s *[2 * sysT]gf) { } } +// Niederreiter decryption with the Berlekamp decoder. +// +// It takes as input the secret key `sk` and a ciphertext `c`. +// It returns an error vector in `e` and the return value indicates success (0) or failure (1) func decrypt(e *[sysN / 8]byte, sk []byte, c *[syndBytes]byte) uint16 { var check uint16 w := 0 @@ -501,6 +535,7 @@ func polyMul(out *[sysT]gf, a *[sysT]gf, b *[sysT]gf) { } } +// Compute transposition of `in` and store it in `out` func transpose64x64(out, in *[64]uint64) { masks := [6][2]uint64{ {0x5555555555555555, 0xAAAAAAAAAAAAAAAA}, @@ -526,6 +561,7 @@ func transpose64x64(out, in *[64]uint64) { } } +// given polynomial `f`, evaluate `f` at `a` func eval(f *[sysT + 1]gf, a gf) gf { r := f[sysT] for i := sysT - 1; i >= 0; i-- { @@ -535,12 +571,15 @@ func eval(f *[sysT + 1]gf, a gf) gf { return r } +// Given polynomial `f` and a list of field elements `l`, +// return the roots `out` satisfying `[ f(a) for a in L ]` func root(out *[sysN]gf, f *[sysT + 1]gf, l *[sysN]gf) { for i := 0; i < sysN; i++ { out[i] = eval(f, l[i]) } } +// performs SHAKE-256 on `input` and store the hash in `output` func shake256(output []byte, input []byte) error { shake := sha3.NewShake256() _, err := shake.Write(input) @@ -554,11 +593,13 @@ func shake256(output []byte, input []byte) error { return nil } +// store field element `a` in the first 2 bytes of `dest` func storeGf(dest []byte, a gf) { dest[0] = byte(a & 0xFF) dest[1] = byte(a >> 8) } +// load a field element from the first 2 bytes of `src` func loadGf(src []byte) gf { a := uint16(src[1]) a <<= 8 @@ -566,6 +607,7 @@ func loadGf(src []byte) gf { return a & gfMask } +// load a 32-bit little endian integer from `in` func load4(in []byte) uint32 { ret := uint32(in[3]) for i := 2; i >= 0; i-- { @@ -575,6 +617,7 @@ func load4(in []byte) uint32 { return ret } +// store a 64-bit integer to `out` in little endian func store8(out []byte, in uint64) { out[0] = byte((in >> 0x00) & 0xFF) out[1] = byte((in >> 0x08) & 0xFF) @@ -586,6 +629,7 @@ func store8(out []byte, in uint64) { out[7] = byte((in >> 0x38) & 0xFF) } +// load a 64-bit little endian integer from `in` func load8(in []byte) uint64 { ret := uint64(in[7]) for i := 6; i >= 0; i-- { @@ -595,6 +639,7 @@ func load8(in []byte) uint64 { return ret } +// reverse the bits in the field element `a` func bitRev(a gf) gf { a = ((a & 0x00FF) << 8) | ((a & 0xFF00) >> 8) a = ((a & 0x0F0F) << 4) | ((a & 0xF0F0) >> 4) diff --git a/kem/mceliece/mceliece6688128f/pk_gen.go b/kem/mceliece/mceliece6688128f/pk_gen.go index 9049d3569..a670e318d 100644 --- a/kem/mceliece/mceliece6688128f/pk_gen.go +++ b/kem/mceliece/mceliece6688128f/pk_gen.go @@ -7,6 +7,7 @@ import ( "github.com/cloudflare/circl/math/gf8192" ) +// Return number of trailing zeros of the non-zero input `input` func ctz(in uint64) int { m := 0 r := 0 @@ -18,6 +19,7 @@ func ctz(in uint64) int { return r } +// Takes two 16-bit integers and determines whether they are equal (all bits set) or different (0) func sameMask64(x, y uint16) uint64 { mask := uint64(x ^ y) mask -= 1 @@ -26,6 +28,7 @@ func sameMask64(x, y uint16) uint64 { return mask } +// Move columns in matrix `mat` func movColumns(mat *[pkNRows][sysN / 8]byte, pi []int16, pivots *uint64) bool { buf := [64]uint64{} ctzList := [32]uint64{} @@ -99,6 +102,12 @@ func movColumns(mat *[pkNRows][sysN / 8]byte, pi []int16, pivots *uint64) bool { } // nolint:unparam +// Public key generation. Generate the public key `pk`, +// permutation `pi` and pivot element `pivots` based on the +// secret key `sk` and permutation `perm` provided. +// `pk` has `max(1 << GFBITS, SYS_N)` elements which is +// 4096 for mceliece348864 and 8192 for mceliece8192128. +// `sk` has `2 * SYS_T` elements and perm `1 << GFBITS`. func pkGen(pk *[pkNRows * pkRowBytes]byte, sk []byte, perm *[1 << gfBits]uint32, pi *[1 << gfBits]int16, pivots *uint64) bool { buf := [1 << gfBits]uint64{} mat := [pkNRows][sysN / 8]byte{} diff --git a/kem/mceliece/mceliece6960119/benes.go b/kem/mceliece/mceliece6960119/benes.go index e05711f98..23b908668 100644 --- a/kem/mceliece/mceliece6960119/benes.go +++ b/kem/mceliece/mceliece6960119/benes.go @@ -2,6 +2,7 @@ package mceliece6960119 +// Layers of the Beneš network. The required size of `data` and `bits` depends on the value `lgs`. func layerIn(data *[2][64]uint64, bits *[64]uint64, lgs int) { s := 1 << lgs index := 0 @@ -22,6 +23,12 @@ func layerIn(data *[2][64]uint64, bits *[64]uint64, lgs int) { } } +// Exterior layers of the Beneš network. The length of `bits` depends on the value of `lgs`. +// Note that this implementation is quite different from the C implementation. +// However, it does make sense. Whereas the C implementation uses pointer arithmetic to access +// the entire array `data`, this implementation always considers `data` as two-dimensional array. +// The C implementation uses 128 as upper bound (because the array contains 128 elements), +// but this implementation has 64 elements per subarray and needs case distinctions at different places. func layerEx(data *[2][64]uint64, bits *[64]uint64, lgs int) { data0Idx := 0 data1Idx := 32 @@ -56,6 +63,11 @@ func layerEx(data *[2][64]uint64, bits *[64]uint64, lgs int) { } } +// Apply Beneš network in-place to array `r` based on configuration `bits`. +// Here, `r` is a sequence of bits to be permuted. +// `bits` defines the condition bits configuring the Beneš network and +// Note that this differs from the C implementation, missing the `rev` parameter. +// This is because `rev` is not used throughout the entire codebase. func applyBenes(r *[1024]byte, bits *[condBytes]byte) { rIntV := [2][64]uint64{} rIntH := [2][64]uint64{} diff --git a/kem/mceliece/mceliece6960119/mceliece.go b/kem/mceliece/mceliece6960119/mceliece.go index bfed193e7..2bbea8cea 100644 --- a/kem/mceliece/mceliece6960119/mceliece.go +++ b/kem/mceliece/mceliece6960119/mceliece.go @@ -47,6 +47,15 @@ type ( randFunc = func(pool []byte) error ) +// KEM Keypair generation. +// +// The structure of the secret key is given by the following segments: +// (32 bytes seed, 8 bytes pivots, IRR_BYTES bytes, COND_BYTES bytes, SYS_N/8 bytes). +// The structure of the public key is simple: a matrix of PK_NROWS times PK_ROW_BYTES bytes. +// +// `entropy` corresponds to the l-bit input seed in SeededKeyGen from the specification. +// The keypair is deterministically generated from `entropy`. +// If the generated keypair is invalid, a new seed will be generated by hashing `entropy` to try again. func deriveKeyPair(entropy []byte) (*PublicKey, *PrivateKey) { const ( irrPolys = sysN/8 + (1< +// Uses `s` as input (sequence of field elements) +// and `out` as output (minimal polynomial of `s`) func bm(out *[sysT + 1]gf, s *[2 * sysT]gf) { var L, mle, mne uint16 T := [sysT + 1]gf{} @@ -281,6 +302,10 @@ func bm(out *[sysT + 1]gf, s *[2 * sysT]gf) { } } +// Niederreiter decryption with the Berlekamp decoder. +// +// It takes as input the secret key `sk` and a ciphertext `c`. +// It returns an error vector in `e` and the return value indicates success (0) or failure (1) func decrypt(e *[sysN / 8]byte, sk []byte, c *[syndBytes]byte) uint16 { var check uint16 w := 0 @@ -410,6 +435,7 @@ func polyMul(out *[sysT]gf, a *[sysT]gf, b *[sysT]gf) { } } +// Compute transposition of `in` and store it in `out` func transpose64x64(out, in *[64]uint64) { masks := [6][2]uint64{ {0x5555555555555555, 0xAAAAAAAAAAAAAAAA}, @@ -435,6 +461,7 @@ func transpose64x64(out, in *[64]uint64) { } } +// given polynomial `f`, evaluate `f` at `a` func eval(f *[sysT + 1]gf, a gf) gf { r := f[sysT] for i := sysT - 1; i >= 0; i-- { @@ -444,12 +471,15 @@ func eval(f *[sysT + 1]gf, a gf) gf { return r } +// Given polynomial `f` and a list of field elements `l`, +// return the roots `out` satisfying `[ f(a) for a in L ]` func root(out *[sysN]gf, f *[sysT + 1]gf, l *[sysN]gf) { for i := 0; i < sysN; i++ { out[i] = eval(f, l[i]) } } +// performs SHAKE-256 on `input` and store the hash in `output` func shake256(output []byte, input []byte) error { shake := sha3.NewShake256() _, err := shake.Write(input) @@ -463,11 +493,13 @@ func shake256(output []byte, input []byte) error { return nil } +// store field element `a` in the first 2 bytes of `dest` func storeGf(dest []byte, a gf) { dest[0] = byte(a & 0xFF) dest[1] = byte(a >> 8) } +// load a field element from the first 2 bytes of `src` func loadGf(src []byte) gf { a := uint16(src[1]) a <<= 8 @@ -475,6 +507,7 @@ func loadGf(src []byte) gf { return a & gfMask } +// load a 32-bit little endian integer from `in` func load4(in []byte) uint32 { ret := uint32(in[3]) for i := 2; i >= 0; i-- { @@ -484,6 +517,7 @@ func load4(in []byte) uint32 { return ret } +// store a 64-bit integer to `out` in little endian func store8(out []byte, in uint64) { out[0] = byte((in >> 0x00) & 0xFF) out[1] = byte((in >> 0x08) & 0xFF) @@ -495,6 +529,7 @@ func store8(out []byte, in uint64) { out[7] = byte((in >> 0x38) & 0xFF) } +// load a 64-bit little endian integer from `in` func load8(in []byte) uint64 { ret := uint64(in[7]) for i := 6; i >= 0; i-- { @@ -504,6 +539,7 @@ func load8(in []byte) uint64 { return ret } +// reverse the bits in the field element `a` func bitRev(a gf) gf { a = ((a & 0x00FF) << 8) | ((a & 0xFF00) >> 8) a = ((a & 0x0F0F) << 4) | ((a & 0xF0F0) >> 4) diff --git a/kem/mceliece/mceliece6960119/operations.go b/kem/mceliece/mceliece6960119/operations.go index 422dd53c5..3bcd1c745 100644 --- a/kem/mceliece/mceliece6960119/operations.go +++ b/kem/mceliece/mceliece6960119/operations.go @@ -4,6 +4,7 @@ package mceliece6960119 import "fmt" +// This function determines (in a constant-time manner) whether the padding bits of `pk` are all zero. func checkPkPadding(pk *[PublicKeySize]byte) byte { b := byte(0) for i := 0; i < pkNRows; i++ { @@ -15,6 +16,7 @@ func checkPkPadding(pk *[PublicKeySize]byte) byte { return b - 1 } +// This function determines (in a constant-time manner) whether the padding bits of `c` are all zero. func checkCPadding(c []byte) byte { b := c[syndBytes-1] >> (pkNRows % 8) b -= 1 @@ -22,8 +24,8 @@ func checkCPadding(c []byte) byte { return b - 1 } -/* input: public key pk, error vector e */ -/* output: syndrome s */ +// input: public key pk, error vector e +// output: syndrome s func syndrome(s []byte, pk []byte, e []byte) { row := [sysN / 8]byte{} pkSegment := pk @@ -59,6 +61,11 @@ func syndrome(s []byte, pk []byte, e []byte) { } } +// KEM Encapsulation. +// +// Given a public key `pk`, sample a shared key. +// This shared key is returned through parameter `key` whereas +// the ciphertext (meant to be used for decapsulation) is returned as `c`. func kemEncapsulate(c *[CiphertextSize]byte, key *[SharedKeySize]byte, pk *[PublicKeySize]byte, rand randFunc) error { twoE := [1 + sysN/8]byte{2} oneEC := [1 + sysN/8 + (syndBytes + 32)]byte{1} @@ -92,6 +99,11 @@ func kemEncapsulate(c *[CiphertextSize]byte, key *[SharedKeySize]byte, pk *[Publ return fmt.Errorf("public key padding error %d", paddingOk) } +// KEM Encapsulation. +// +// Given a public key `pk`, sample a shared key. +// This shared key is returned through parameter `key` whereas +// the ciphertext (meant to be used for decapsulation) is returned as `c`. func kemDecapsulate(key *[SharedKeySize]byte, c *[CiphertextSize]byte, sk *[PrivateKeySize]byte) error { conf := [32]byte{} twoE := [1 + sysN/8]byte{2} diff --git a/kem/mceliece/mceliece6960119/pk_gen.go b/kem/mceliece/mceliece6960119/pk_gen.go index f18ae8fa3..1097aee87 100644 --- a/kem/mceliece/mceliece6960119/pk_gen.go +++ b/kem/mceliece/mceliece6960119/pk_gen.go @@ -8,6 +8,12 @@ import ( ) // nolint:unparam +// Public key generation. Generate the public key `pk`, +// permutation `pi` and pivot element `pivots` based on the +// secret key `sk` and permutation `perm` provided. +// `pk` has `max(1 << GFBITS, SYS_N)` elements which is +// 4096 for mceliece348864 and 8192 for mceliece8192128. +// `sk` has `2 * SYS_T` elements and perm `1 << GFBITS`. func pkGen(pk *[pkNRows * pkRowBytes]byte, sk []byte, perm *[1 << gfBits]uint32, pi *[1 << gfBits]int16, pivots *uint64) bool { buf := [1 << gfBits]uint64{} mat := [pkNRows][sysN / 8]byte{} diff --git a/kem/mceliece/mceliece6960119f/benes.go b/kem/mceliece/mceliece6960119f/benes.go index 2e6ec8eb3..b6c191311 100644 --- a/kem/mceliece/mceliece6960119f/benes.go +++ b/kem/mceliece/mceliece6960119f/benes.go @@ -2,6 +2,7 @@ package mceliece6960119f +// Layers of the Beneš network. The required size of `data` and `bits` depends on the value `lgs`. func layerIn(data *[2][64]uint64, bits *[64]uint64, lgs int) { s := 1 << lgs index := 0 @@ -22,6 +23,12 @@ func layerIn(data *[2][64]uint64, bits *[64]uint64, lgs int) { } } +// Exterior layers of the Beneš network. The length of `bits` depends on the value of `lgs`. +// Note that this implementation is quite different from the C implementation. +// However, it does make sense. Whereas the C implementation uses pointer arithmetic to access +// the entire array `data`, this implementation always considers `data` as two-dimensional array. +// The C implementation uses 128 as upper bound (because the array contains 128 elements), +// but this implementation has 64 elements per subarray and needs case distinctions at different places. func layerEx(data *[2][64]uint64, bits *[64]uint64, lgs int) { data0Idx := 0 data1Idx := 32 @@ -56,6 +63,11 @@ func layerEx(data *[2][64]uint64, bits *[64]uint64, lgs int) { } } +// Apply Beneš network in-place to array `r` based on configuration `bits`. +// Here, `r` is a sequence of bits to be permuted. +// `bits` defines the condition bits configuring the Beneš network and +// Note that this differs from the C implementation, missing the `rev` parameter. +// This is because `rev` is not used throughout the entire codebase. func applyBenes(r *[1024]byte, bits *[condBytes]byte) { rIntV := [2][64]uint64{} rIntH := [2][64]uint64{} diff --git a/kem/mceliece/mceliece6960119f/mceliece.go b/kem/mceliece/mceliece6960119f/mceliece.go index 59e195a37..77f729233 100644 --- a/kem/mceliece/mceliece6960119f/mceliece.go +++ b/kem/mceliece/mceliece6960119f/mceliece.go @@ -47,6 +47,15 @@ type ( randFunc = func(pool []byte) error ) +// KEM Keypair generation. +// +// The structure of the secret key is given by the following segments: +// (32 bytes seed, 8 bytes pivots, IRR_BYTES bytes, COND_BYTES bytes, SYS_N/8 bytes). +// The structure of the public key is simple: a matrix of PK_NROWS times PK_ROW_BYTES bytes. +// +// `entropy` corresponds to the l-bit input seed in SeededKeyGen from the specification. +// The keypair is deterministically generated from `entropy`. +// If the generated keypair is invalid, a new seed will be generated by hashing `entropy` to try again. func deriveKeyPair(entropy []byte) (*PublicKey, *PrivateKey) { const ( irrPolys = sysN/8 + (1< +// Uses `s` as input (sequence of field elements) +// and `out` as output (minimal polynomial of `s`) func bm(out *[sysT + 1]gf, s *[2 * sysT]gf) { var L, mle, mne uint16 T := [sysT + 1]gf{} @@ -281,6 +302,10 @@ func bm(out *[sysT + 1]gf, s *[2 * sysT]gf) { } } +// Niederreiter decryption with the Berlekamp decoder. +// +// It takes as input the secret key `sk` and a ciphertext `c`. +// It returns an error vector in `e` and the return value indicates success (0) or failure (1) func decrypt(e *[sysN / 8]byte, sk []byte, c *[syndBytes]byte) uint16 { var check uint16 w := 0 @@ -410,6 +435,7 @@ func polyMul(out *[sysT]gf, a *[sysT]gf, b *[sysT]gf) { } } +// Compute transposition of `in` and store it in `out` func transpose64x64(out, in *[64]uint64) { masks := [6][2]uint64{ {0x5555555555555555, 0xAAAAAAAAAAAAAAAA}, @@ -435,6 +461,7 @@ func transpose64x64(out, in *[64]uint64) { } } +// given polynomial `f`, evaluate `f` at `a` func eval(f *[sysT + 1]gf, a gf) gf { r := f[sysT] for i := sysT - 1; i >= 0; i-- { @@ -444,12 +471,15 @@ func eval(f *[sysT + 1]gf, a gf) gf { return r } +// Given polynomial `f` and a list of field elements `l`, +// return the roots `out` satisfying `[ f(a) for a in L ]` func root(out *[sysN]gf, f *[sysT + 1]gf, l *[sysN]gf) { for i := 0; i < sysN; i++ { out[i] = eval(f, l[i]) } } +// performs SHAKE-256 on `input` and store the hash in `output` func shake256(output []byte, input []byte) error { shake := sha3.NewShake256() _, err := shake.Write(input) @@ -463,11 +493,13 @@ func shake256(output []byte, input []byte) error { return nil } +// store field element `a` in the first 2 bytes of `dest` func storeGf(dest []byte, a gf) { dest[0] = byte(a & 0xFF) dest[1] = byte(a >> 8) } +// load a field element from the first 2 bytes of `src` func loadGf(src []byte) gf { a := uint16(src[1]) a <<= 8 @@ -475,6 +507,7 @@ func loadGf(src []byte) gf { return a & gfMask } +// load a 32-bit little endian integer from `in` func load4(in []byte) uint32 { ret := uint32(in[3]) for i := 2; i >= 0; i-- { @@ -484,6 +517,7 @@ func load4(in []byte) uint32 { return ret } +// store a 64-bit integer to `out` in little endian func store8(out []byte, in uint64) { out[0] = byte((in >> 0x00) & 0xFF) out[1] = byte((in >> 0x08) & 0xFF) @@ -495,6 +529,7 @@ func store8(out []byte, in uint64) { out[7] = byte((in >> 0x38) & 0xFF) } +// load a 64-bit little endian integer from `in` func load8(in []byte) uint64 { ret := uint64(in[7]) for i := 6; i >= 0; i-- { @@ -504,6 +539,7 @@ func load8(in []byte) uint64 { return ret } +// reverse the bits in the field element `a` func bitRev(a gf) gf { a = ((a & 0x00FF) << 8) | ((a & 0xFF00) >> 8) a = ((a & 0x0F0F) << 4) | ((a & 0xF0F0) >> 4) diff --git a/kem/mceliece/mceliece6960119f/operations.go b/kem/mceliece/mceliece6960119f/operations.go index 289422181..b9def2700 100644 --- a/kem/mceliece/mceliece6960119f/operations.go +++ b/kem/mceliece/mceliece6960119f/operations.go @@ -4,6 +4,7 @@ package mceliece6960119f import "fmt" +// This function determines (in a constant-time manner) whether the padding bits of `pk` are all zero. func checkPkPadding(pk *[PublicKeySize]byte) byte { b := byte(0) for i := 0; i < pkNRows; i++ { @@ -15,6 +16,7 @@ func checkPkPadding(pk *[PublicKeySize]byte) byte { return b - 1 } +// This function determines (in a constant-time manner) whether the padding bits of `c` are all zero. func checkCPadding(c []byte) byte { b := c[syndBytes-1] >> (pkNRows % 8) b -= 1 @@ -22,8 +24,8 @@ func checkCPadding(c []byte) byte { return b - 1 } -/* input: public key pk, error vector e */ -/* output: syndrome s */ +// input: public key pk, error vector e +// output: syndrome s func syndrome(s []byte, pk []byte, e []byte) { row := [sysN / 8]byte{} pkSegment := pk @@ -59,6 +61,11 @@ func syndrome(s []byte, pk []byte, e []byte) { } } +// KEM Encapsulation. +// +// Given a public key `pk`, sample a shared key. +// This shared key is returned through parameter `key` whereas +// the ciphertext (meant to be used for decapsulation) is returned as `c`. func kemEncapsulate(c *[CiphertextSize]byte, key *[SharedKeySize]byte, pk *[PublicKeySize]byte, rand randFunc) error { twoE := [1 + sysN/8]byte{2} oneEC := [1 + sysN/8 + (syndBytes + 32)]byte{1} @@ -92,6 +99,11 @@ func kemEncapsulate(c *[CiphertextSize]byte, key *[SharedKeySize]byte, pk *[Publ return fmt.Errorf("public key padding error %d", paddingOk) } +// KEM Encapsulation. +// +// Given a public key `pk`, sample a shared key. +// This shared key is returned through parameter `key` whereas +// the ciphertext (meant to be used for decapsulation) is returned as `c`. func kemDecapsulate(key *[SharedKeySize]byte, c *[CiphertextSize]byte, sk *[PrivateKeySize]byte) error { conf := [32]byte{} twoE := [1 + sysN/8]byte{2} diff --git a/kem/mceliece/mceliece6960119f/pk_gen.go b/kem/mceliece/mceliece6960119f/pk_gen.go index 6a4be503b..a31e184ed 100644 --- a/kem/mceliece/mceliece6960119f/pk_gen.go +++ b/kem/mceliece/mceliece6960119f/pk_gen.go @@ -7,6 +7,7 @@ import ( "github.com/cloudflare/circl/math/gf8192" ) +// Return number of trailing zeros of the non-zero input `input` func ctz(in uint64) int { m := 0 r := 0 @@ -18,6 +19,7 @@ func ctz(in uint64) int { return r } +// Takes two 16-bit integers and determines whether they are equal (all bits set) or different (0) func sameMask64(x, y uint16) uint64 { mask := uint64(x ^ y) mask -= 1 @@ -26,6 +28,7 @@ func sameMask64(x, y uint16) uint64 { return mask } +// Move columns in matrix `mat` func movColumns(mat *[pkNRows][sysN / 8]byte, pi []int16, pivots *uint64) bool { buf := [64]uint64{} ctzList := [32]uint64{} @@ -117,6 +120,12 @@ func movColumns(mat *[pkNRows][sysN / 8]byte, pi []int16, pivots *uint64) bool { } // nolint:unparam +// Public key generation. Generate the public key `pk`, +// permutation `pi` and pivot element `pivots` based on the +// secret key `sk` and permutation `perm` provided. +// `pk` has `max(1 << GFBITS, SYS_N)` elements which is +// 4096 for mceliece348864 and 8192 for mceliece8192128. +// `sk` has `2 * SYS_T` elements and perm `1 << GFBITS`. func pkGen(pk *[pkNRows * pkRowBytes]byte, sk []byte, perm *[1 << gfBits]uint32, pi *[1 << gfBits]int16, pivots *uint64) bool { buf := [1 << gfBits]uint64{} mat := [pkNRows][sysN / 8]byte{} diff --git a/kem/mceliece/mceliece8192128/benes.go b/kem/mceliece/mceliece8192128/benes.go index 897653198..d2c03a7ea 100644 --- a/kem/mceliece/mceliece8192128/benes.go +++ b/kem/mceliece/mceliece8192128/benes.go @@ -2,6 +2,7 @@ package mceliece8192128 +// Layers of the Beneš network. The required size of `data` and `bits` depends on the value `lgs`. func layerIn(data *[2][64]uint64, bits *[64]uint64, lgs int) { s := 1 << lgs index := 0 @@ -22,6 +23,12 @@ func layerIn(data *[2][64]uint64, bits *[64]uint64, lgs int) { } } +// Exterior layers of the Beneš network. The length of `bits` depends on the value of `lgs`. +// Note that this implementation is quite different from the C implementation. +// However, it does make sense. Whereas the C implementation uses pointer arithmetic to access +// the entire array `data`, this implementation always considers `data` as two-dimensional array. +// The C implementation uses 128 as upper bound (because the array contains 128 elements), +// but this implementation has 64 elements per subarray and needs case distinctions at different places. func layerEx(data *[2][64]uint64, bits *[64]uint64, lgs int) { data0Idx := 0 data1Idx := 32 @@ -56,6 +63,11 @@ func layerEx(data *[2][64]uint64, bits *[64]uint64, lgs int) { } } +// Apply Beneš network in-place to array `r` based on configuration `bits`. +// Here, `r` is a sequence of bits to be permuted. +// `bits` defines the condition bits configuring the Beneš network and +// Note that this differs from the C implementation, missing the `rev` parameter. +// This is because `rev` is not used throughout the entire codebase. func applyBenes(r *[1024]byte, bits *[condBytes]byte) { rIntV := [2][64]uint64{} rIntH := [2][64]uint64{} diff --git a/kem/mceliece/mceliece8192128/mceliece.go b/kem/mceliece/mceliece8192128/mceliece.go index 96891c0af..3e2999b0c 100644 --- a/kem/mceliece/mceliece8192128/mceliece.go +++ b/kem/mceliece/mceliece8192128/mceliece.go @@ -47,6 +47,15 @@ type ( randFunc = func(pool []byte) error ) +// KEM Keypair generation. +// +// The structure of the secret key is given by the following segments: +// (32 bytes seed, 8 bytes pivots, IRR_BYTES bytes, COND_BYTES bytes, SYS_N/8 bytes). +// The structure of the public key is simple: a matrix of PK_NROWS times PK_ROW_BYTES bytes. +// +// `entropy` corresponds to the l-bit input seed in SeededKeyGen from the specification. +// The keypair is deterministically generated from `entropy`. +// If the generated keypair is invalid, a new seed will be generated by hashing `entropy` to try again. func deriveKeyPair(entropy []byte) (*PublicKey, *PrivateKey) { const ( irrPolys = sysN/8 + (1< +// Uses `s` as input (sequence of field elements) +// and `out` as output (minimal polynomial of `s`) func bm(out *[sysT + 1]gf, s *[2 * sysT]gf) { var L, mle, mne uint16 T := [sysT + 1]gf{} @@ -351,6 +381,10 @@ func bm(out *[sysT + 1]gf, s *[2 * sysT]gf) { } } +// Niederreiter decryption with the Berlekamp decoder. +// +// It takes as input the secret key `sk` and a ciphertext `c`. +// It returns an error vector in `e` and the return value indicates success (0) or failure (1) func decrypt(e *[sysN / 8]byte, sk []byte, c *[syndBytes]byte) uint16 { var check uint16 w := 0 @@ -482,6 +516,7 @@ func polyMul(out *[sysT]gf, a *[sysT]gf, b *[sysT]gf) { } } +// Compute transposition of `in` and store it in `out` func transpose64x64(out, in *[64]uint64) { masks := [6][2]uint64{ {0x5555555555555555, 0xAAAAAAAAAAAAAAAA}, @@ -507,6 +542,7 @@ func transpose64x64(out, in *[64]uint64) { } } +// given polynomial `f`, evaluate `f` at `a` func eval(f *[sysT + 1]gf, a gf) gf { r := f[sysT] for i := sysT - 1; i >= 0; i-- { @@ -516,12 +552,15 @@ func eval(f *[sysT + 1]gf, a gf) gf { return r } +// Given polynomial `f` and a list of field elements `l`, +// return the roots `out` satisfying `[ f(a) for a in L ]` func root(out *[sysN]gf, f *[sysT + 1]gf, l *[sysN]gf) { for i := 0; i < sysN; i++ { out[i] = eval(f, l[i]) } } +// performs SHAKE-256 on `input` and store the hash in `output` func shake256(output []byte, input []byte) error { shake := sha3.NewShake256() _, err := shake.Write(input) @@ -535,11 +574,13 @@ func shake256(output []byte, input []byte) error { return nil } +// store field element `a` in the first 2 bytes of `dest` func storeGf(dest []byte, a gf) { dest[0] = byte(a & 0xFF) dest[1] = byte(a >> 8) } +// load a field element from the first 2 bytes of `src` func loadGf(src []byte) gf { a := uint16(src[1]) a <<= 8 @@ -547,6 +588,7 @@ func loadGf(src []byte) gf { return a & gfMask } +// load a 32-bit little endian integer from `in` func load4(in []byte) uint32 { ret := uint32(in[3]) for i := 2; i >= 0; i-- { @@ -556,6 +598,7 @@ func load4(in []byte) uint32 { return ret } +// store a 64-bit integer to `out` in little endian func store8(out []byte, in uint64) { out[0] = byte((in >> 0x00) & 0xFF) out[1] = byte((in >> 0x08) & 0xFF) @@ -567,6 +610,7 @@ func store8(out []byte, in uint64) { out[7] = byte((in >> 0x38) & 0xFF) } +// load a 64-bit little endian integer from `in` func load8(in []byte) uint64 { ret := uint64(in[7]) for i := 6; i >= 0; i-- { @@ -576,6 +620,7 @@ func load8(in []byte) uint64 { return ret } +// reverse the bits in the field element `a` func bitRev(a gf) gf { a = ((a & 0x00FF) << 8) | ((a & 0xFF00) >> 8) a = ((a & 0x0F0F) << 4) | ((a & 0xF0F0) >> 4) diff --git a/kem/mceliece/mceliece8192128/pk_gen.go b/kem/mceliece/mceliece8192128/pk_gen.go index 54deb23ce..18daa225b 100644 --- a/kem/mceliece/mceliece8192128/pk_gen.go +++ b/kem/mceliece/mceliece8192128/pk_gen.go @@ -8,6 +8,12 @@ import ( ) // nolint:unparam +// Public key generation. Generate the public key `pk`, +// permutation `pi` and pivot element `pivots` based on the +// secret key `sk` and permutation `perm` provided. +// `pk` has `max(1 << GFBITS, SYS_N)` elements which is +// 4096 for mceliece348864 and 8192 for mceliece8192128. +// `sk` has `2 * SYS_T` elements and perm `1 << GFBITS`. func pkGen(pk *[pkNRows * pkRowBytes]byte, sk []byte, perm *[1 << gfBits]uint32, pi *[1 << gfBits]int16, pivots *uint64) bool { buf := [1 << gfBits]uint64{} mat := [pkNRows][sysN / 8]byte{} diff --git a/kem/mceliece/mceliece8192128f/benes.go b/kem/mceliece/mceliece8192128f/benes.go index 610474cdd..eb9028aa5 100644 --- a/kem/mceliece/mceliece8192128f/benes.go +++ b/kem/mceliece/mceliece8192128f/benes.go @@ -2,6 +2,7 @@ package mceliece8192128f +// Layers of the Beneš network. The required size of `data` and `bits` depends on the value `lgs`. func layerIn(data *[2][64]uint64, bits *[64]uint64, lgs int) { s := 1 << lgs index := 0 @@ -22,6 +23,12 @@ func layerIn(data *[2][64]uint64, bits *[64]uint64, lgs int) { } } +// Exterior layers of the Beneš network. The length of `bits` depends on the value of `lgs`. +// Note that this implementation is quite different from the C implementation. +// However, it does make sense. Whereas the C implementation uses pointer arithmetic to access +// the entire array `data`, this implementation always considers `data` as two-dimensional array. +// The C implementation uses 128 as upper bound (because the array contains 128 elements), +// but this implementation has 64 elements per subarray and needs case distinctions at different places. func layerEx(data *[2][64]uint64, bits *[64]uint64, lgs int) { data0Idx := 0 data1Idx := 32 @@ -56,6 +63,11 @@ func layerEx(data *[2][64]uint64, bits *[64]uint64, lgs int) { } } +// Apply Beneš network in-place to array `r` based on configuration `bits`. +// Here, `r` is a sequence of bits to be permuted. +// `bits` defines the condition bits configuring the Beneš network and +// Note that this differs from the C implementation, missing the `rev` parameter. +// This is because `rev` is not used throughout the entire codebase. func applyBenes(r *[1024]byte, bits *[condBytes]byte) { rIntV := [2][64]uint64{} rIntH := [2][64]uint64{} diff --git a/kem/mceliece/mceliece8192128f/mceliece.go b/kem/mceliece/mceliece8192128f/mceliece.go index ee9920bba..9d2cc7a08 100644 --- a/kem/mceliece/mceliece8192128f/mceliece.go +++ b/kem/mceliece/mceliece8192128f/mceliece.go @@ -47,6 +47,15 @@ type ( randFunc = func(pool []byte) error ) +// KEM Keypair generation. +// +// The structure of the secret key is given by the following segments: +// (32 bytes seed, 8 bytes pivots, IRR_BYTES bytes, COND_BYTES bytes, SYS_N/8 bytes). +// The structure of the public key is simple: a matrix of PK_NROWS times PK_ROW_BYTES bytes. +// +// `entropy` corresponds to the l-bit input seed in SeededKeyGen from the specification. +// The keypair is deterministically generated from `entropy`. +// If the generated keypair is invalid, a new seed will be generated by hashing `entropy` to try again. func deriveKeyPair(entropy []byte) (*PublicKey, *PrivateKey) { const ( irrPolys = sysN/8 + (1< +// Uses `s` as input (sequence of field elements) +// and `out` as output (minimal polynomial of `s`) func bm(out *[sysT + 1]gf, s *[2 * sysT]gf) { var L, mle, mne uint16 T := [sysT + 1]gf{} @@ -351,6 +381,10 @@ func bm(out *[sysT + 1]gf, s *[2 * sysT]gf) { } } +// Niederreiter decryption with the Berlekamp decoder. +// +// It takes as input the secret key `sk` and a ciphertext `c`. +// It returns an error vector in `e` and the return value indicates success (0) or failure (1) func decrypt(e *[sysN / 8]byte, sk []byte, c *[syndBytes]byte) uint16 { var check uint16 w := 0 @@ -482,6 +516,7 @@ func polyMul(out *[sysT]gf, a *[sysT]gf, b *[sysT]gf) { } } +// Compute transposition of `in` and store it in `out` func transpose64x64(out, in *[64]uint64) { masks := [6][2]uint64{ {0x5555555555555555, 0xAAAAAAAAAAAAAAAA}, @@ -507,6 +542,7 @@ func transpose64x64(out, in *[64]uint64) { } } +// given polynomial `f`, evaluate `f` at `a` func eval(f *[sysT + 1]gf, a gf) gf { r := f[sysT] for i := sysT - 1; i >= 0; i-- { @@ -516,12 +552,15 @@ func eval(f *[sysT + 1]gf, a gf) gf { return r } +// Given polynomial `f` and a list of field elements `l`, +// return the roots `out` satisfying `[ f(a) for a in L ]` func root(out *[sysN]gf, f *[sysT + 1]gf, l *[sysN]gf) { for i := 0; i < sysN; i++ { out[i] = eval(f, l[i]) } } +// performs SHAKE-256 on `input` and store the hash in `output` func shake256(output []byte, input []byte) error { shake := sha3.NewShake256() _, err := shake.Write(input) @@ -535,11 +574,13 @@ func shake256(output []byte, input []byte) error { return nil } +// store field element `a` in the first 2 bytes of `dest` func storeGf(dest []byte, a gf) { dest[0] = byte(a & 0xFF) dest[1] = byte(a >> 8) } +// load a field element from the first 2 bytes of `src` func loadGf(src []byte) gf { a := uint16(src[1]) a <<= 8 @@ -547,6 +588,7 @@ func loadGf(src []byte) gf { return a & gfMask } +// load a 32-bit little endian integer from `in` func load4(in []byte) uint32 { ret := uint32(in[3]) for i := 2; i >= 0; i-- { @@ -556,6 +598,7 @@ func load4(in []byte) uint32 { return ret } +// store a 64-bit integer to `out` in little endian func store8(out []byte, in uint64) { out[0] = byte((in >> 0x00) & 0xFF) out[1] = byte((in >> 0x08) & 0xFF) @@ -567,6 +610,7 @@ func store8(out []byte, in uint64) { out[7] = byte((in >> 0x38) & 0xFF) } +// load a 64-bit little endian integer from `in` func load8(in []byte) uint64 { ret := uint64(in[7]) for i := 6; i >= 0; i-- { @@ -576,6 +620,7 @@ func load8(in []byte) uint64 { return ret } +// reverse the bits in the field element `a` func bitRev(a gf) gf { a = ((a & 0x00FF) << 8) | ((a & 0xFF00) >> 8) a = ((a & 0x0F0F) << 4) | ((a & 0xF0F0) >> 4) diff --git a/kem/mceliece/mceliece8192128f/pk_gen.go b/kem/mceliece/mceliece8192128f/pk_gen.go index 19471efa9..af97d985e 100644 --- a/kem/mceliece/mceliece8192128f/pk_gen.go +++ b/kem/mceliece/mceliece8192128f/pk_gen.go @@ -7,6 +7,7 @@ import ( "github.com/cloudflare/circl/math/gf8192" ) +// Return number of trailing zeros of the non-zero input `input` func ctz(in uint64) int { m := 0 r := 0 @@ -18,6 +19,7 @@ func ctz(in uint64) int { return r } +// Takes two 16-bit integers and determines whether they are equal (all bits set) or different (0) func sameMask64(x, y uint16) uint64 { mask := uint64(x ^ y) mask -= 1 @@ -26,6 +28,7 @@ func sameMask64(x, y uint16) uint64 { return mask } +// Move columns in matrix `mat` func movColumns(mat *[pkNRows][sysN / 8]byte, pi []int16, pivots *uint64) bool { buf := [64]uint64{} ctzList := [32]uint64{} @@ -99,6 +102,12 @@ func movColumns(mat *[pkNRows][sysN / 8]byte, pi []int16, pivots *uint64) bool { } // nolint:unparam +// Public key generation. Generate the public key `pk`, +// permutation `pi` and pivot element `pivots` based on the +// secret key `sk` and permutation `perm` provided. +// `pk` has `max(1 << GFBITS, SYS_N)` elements which is +// 4096 for mceliece348864 and 8192 for mceliece8192128. +// `sk` has `2 * SYS_T` elements and perm `1 << GFBITS`. func pkGen(pk *[pkNRows * pkRowBytes]byte, sk []byte, perm *[1 << gfBits]uint32, pi *[1 << gfBits]int16, pivots *uint64) bool { buf := [1 << gfBits]uint64{} mat := [pkNRows][sysN / 8]byte{} diff --git a/kem/mceliece/templates/benes_348864.templ.go b/kem/mceliece/templates/benes_348864.templ.go index 3c0e80683..c6230a40f 100644 --- a/kem/mceliece/templates/benes_348864.templ.go +++ b/kem/mceliece/templates/benes_348864.templ.go @@ -6,6 +6,7 @@ package {{.Pkg}} +// Layers of the Beneš network. The required size of `data` and `bits` depends on the value `lgs`. func layer(data, bits []uint64, lgs int) { index := 0 s := 1 << lgs @@ -20,6 +21,11 @@ func layer(data, bits []uint64, lgs int) { } } +// Apply Beneš network in-place to array `r` based on configuration `bits`. +// Here, `r` is a sequence of bits to be permuted. +// `bits` defines the condition bits configuring the Beneš network and +// Note that this differs from the C implementation, missing the `rev` parameter. +// This is because `rev` is not used throughout the entire codebase. func applyBenes(r *[512]byte, bits *[condBytes]byte) { bs := [64]uint64{} cond := [64]uint64{} diff --git a/kem/mceliece/templates/benes_other.templ.go b/kem/mceliece/templates/benes_other.templ.go index cea9629ea..2d0337f4f 100644 --- a/kem/mceliece/templates/benes_other.templ.go +++ b/kem/mceliece/templates/benes_other.templ.go @@ -6,6 +6,7 @@ package {{.Pkg}} +// Layers of the Beneš network. The required size of `data` and `bits` depends on the value `lgs`. func layerIn(data *[2][64]uint64, bits *[64]uint64, lgs int) { s := 1 << lgs index := 0 @@ -26,6 +27,12 @@ func layerIn(data *[2][64]uint64, bits *[64]uint64, lgs int) { } } +// Exterior layers of the Beneš network. The length of `bits` depends on the value of `lgs`. +// Note that this implementation is quite different from the C implementation. +// However, it does make sense. Whereas the C implementation uses pointer arithmetic to access +// the entire array `data`, this implementation always considers `data` as two-dimensional array. +// The C implementation uses 128 as upper bound (because the array contains 128 elements), +// but this implementation has 64 elements per subarray and needs case distinctions at different places. func layerEx(data *[2][64]uint64, bits *[64]uint64, lgs int) { data0Idx := 0 data1Idx := 32 @@ -60,6 +67,11 @@ func layerEx(data *[2][64]uint64, bits *[64]uint64, lgs int) { } } +// Apply Beneš network in-place to array `r` based on configuration `bits`. +// Here, `r` is a sequence of bits to be permuted. +// `bits` defines the condition bits configuring the Beneš network and +// Note that this differs from the C implementation, missing the `rev` parameter. +// This is because `rev` is not used throughout the entire codebase. func applyBenes(r *[1024]byte, bits *[condBytes]byte) { rIntV := [2][64]uint64{} rIntH := [2][64]uint64{} diff --git a/kem/mceliece/templates/mceliece.templ.go b/kem/mceliece/templates/mceliece.templ.go index 8e4c4c548..726d628be 100644 --- a/kem/mceliece/templates/mceliece.templ.go +++ b/kem/mceliece/templates/mceliece.templ.go @@ -51,6 +51,15 @@ type ( randFunc = func(pool []byte) error ) +// KEM Keypair generation. +// +// The structure of the secret key is given by the following segments: +// (32 bytes seed, 8 bytes pivots, IRR_BYTES bytes, COND_BYTES bytes, SYS_N/8 bytes). +// The structure of the public key is simple: a matrix of PK_NROWS times PK_ROW_BYTES bytes. +// +// `entropy` corresponds to the l-bit input seed in SeededKeyGen from the specification. +// The keypair is deterministically generated from `entropy`. +// If the generated keypair is invalid, a new seed will be generated by hashing `entropy` to try again. func deriveKeyPair(entropy []byte) (*PublicKey, *PrivateKey) { const ( irrPolys = sysN/8 + (1< +// Uses `s` as input (sequence of field elements) +// and `out` as output (minimal polynomial of `s`) func bm(out *[sysT + 1]gf, s *[2 * sysT]gf) { var L, mle, mne uint16 T := [sysT + 1]gf{} @@ -415,6 +447,10 @@ func bm(out *[sysT + 1]gf, s *[2 * sysT]gf) { } } +// Niederreiter decryption with the Berlekamp decoder. +// +// It takes as input the secret key `sk` and a ciphertext `c`. +// It returns an error vector in `e` and the return value indicates success (0) or failure (1) func decrypt(e *[sysN / 8]byte, sk []byte, c *[syndBytes]byte) uint16 { var check uint16 w := 0 @@ -558,6 +594,7 @@ func polyMul(out *[sysT]gf, a *[sysT]gf, b *[sysT]gf) { } } +// Compute transposition of `in` and store it in `out` func transpose64x64(out, in *[64]uint64) { masks := [6][2]uint64{ {0x5555555555555555, 0xAAAAAAAAAAAAAAAA}, @@ -583,6 +620,7 @@ func transpose64x64(out, in *[64]uint64) { } } +// given polynomial `f`, evaluate `f` at `a` func eval(f *[sysT + 1]gf, a gf) gf { r := f[sysT] for i := sysT - 1; i >= 0; i-- { @@ -592,12 +630,15 @@ func eval(f *[sysT + 1]gf, a gf) gf { return r } +// Given polynomial `f` and a list of field elements `l`, +// return the roots `out` satisfying `[ f(a) for a in L ]` func root(out *[sysN]gf, f *[sysT + 1]gf, l *[sysN]gf) { for i := 0; i < sysN; i++ { out[i] = eval(f, l[i]) } } +// performs SHAKE-256 on `input` and store the hash in `output` func shake256(output []byte, input []byte) error { shake := sha3.NewShake256() _, err := shake.Write(input) @@ -611,11 +652,13 @@ func shake256(output []byte, input []byte) error { return nil } +// store field element `a` in the first 2 bytes of `dest` func storeGf(dest []byte, a gf) { dest[0] = byte(a & 0xFF) dest[1] = byte(a >> 8) } +// load a field element from the first 2 bytes of `src` func loadGf(src []byte) gf { a := uint16(src[1]) a <<= 8 @@ -623,6 +666,7 @@ func loadGf(src []byte) gf { return a & gfMask } +// load a 32-bit little endian integer from `in` func load4(in []byte) uint32 { ret := uint32(in[3]) for i := 2; i >= 0; i-- { @@ -632,6 +676,7 @@ func load4(in []byte) uint32 { return ret } +// store a 64-bit integer to `out` in little endian func store8(out []byte, in uint64) { out[0] = byte((in >> 0x00) & 0xFF) out[1] = byte((in >> 0x08) & 0xFF) @@ -643,6 +688,7 @@ func store8(out []byte, in uint64) { out[7] = byte((in >> 0x38) & 0xFF) } +// load a 64-bit little endian integer from `in` func load8(in []byte) uint64 { ret := uint64(in[7]) for i := 6; i >= 0; i-- { @@ -652,6 +698,7 @@ func load8(in []byte) uint64 { return ret } +// reverse the bits in the field element `a` func bitRev(a gf) gf { a = ((a & 0x00FF) << 8) | ((a & 0xFF00) >> 8) a = ((a & 0x0F0F) << 4) | ((a & 0xF0F0) >> 4) diff --git a/kem/mceliece/templates/operations_6960119.templ.go b/kem/mceliece/templates/operations_6960119.templ.go index de6855e2c..8cd1af5b2 100644 --- a/kem/mceliece/templates/operations_6960119.templ.go +++ b/kem/mceliece/templates/operations_6960119.templ.go @@ -8,6 +8,7 @@ package {{.Pkg}} import "fmt" +// This function determines (in a constant-time manner) whether the padding bits of `pk` are all zero. func checkPkPadding(pk *[PublicKeySize]byte) byte { b := byte(0) for i := 0; i < pkNRows; i++ { @@ -19,6 +20,7 @@ func checkPkPadding(pk *[PublicKeySize]byte) byte { return b - 1 } +// This function determines (in a constant-time manner) whether the padding bits of `c` are all zero. func checkCPadding(c []byte) byte { b := c[syndBytes-1] >> (pkNRows % 8) b -= 1 @@ -26,8 +28,8 @@ func checkCPadding(c []byte) byte { return b - 1 } -/* input: public key pk, error vector e */ -/* output: syndrome s */ +// input: public key pk, error vector e +// output: syndrome s func syndrome(s []byte, pk []byte, e []byte) { row := [sysN / 8]byte{} pkSegment := pk @@ -63,6 +65,11 @@ func syndrome(s []byte, pk []byte, e []byte) { } } +// KEM Encapsulation. +// +// Given a public key `pk`, sample a shared key. +// This shared key is returned through parameter `key` whereas +// the ciphertext (meant to be used for decapsulation) is returned as `c`. func kemEncapsulate(c *[CiphertextSize]byte, key *[SharedKeySize]byte, pk *[PublicKeySize]byte, rand randFunc) error { twoE := [1 + sysN/8]byte{2} oneEC := [1 + sysN/8 + (syndBytes + 32)]byte{1} @@ -96,6 +103,11 @@ func kemEncapsulate(c *[CiphertextSize]byte, key *[SharedKeySize]byte, pk *[Publ return fmt.Errorf("public key padding error %d", paddingOk) } +// KEM Encapsulation. +// +// Given a public key `pk`, sample a shared key. +// This shared key is returned through parameter `key` whereas +// the ciphertext (meant to be used for decapsulation) is returned as `c`. func kemDecapsulate(key *[SharedKeySize]byte, c *[CiphertextSize]byte, sk *[PrivateKeySize]byte) error { conf := [32]byte{} twoE := [1 + sysN/8]byte{2} diff --git a/kem/mceliece/templates/pk_gen.templ.go b/kem/mceliece/templates/pk_gen.templ.go index 4b09903ee..e7effe3a4 100644 --- a/kem/mceliece/templates/pk_gen.templ.go +++ b/kem/mceliece/templates/pk_gen.templ.go @@ -12,6 +12,7 @@ import ( ) {{if .IsSemiSystematic}} +// Return number of trailing zeros of the non-zero input `input` func ctz(in uint64) int { m := 0 r := 0 @@ -23,6 +24,7 @@ func ctz(in uint64) int { return r } +// Takes two 16-bit integers and determines whether they are equal (all bits set) or different (0) func sameMask64(x, y uint16) uint64 { mask := uint64(x ^ y) mask -= 1 @@ -31,6 +33,7 @@ func sameMask64(x, y uint16) uint64 { return mask } +// Move columns in matrix `mat` func movColumns(mat *[pkNRows][sysN / 8]byte, pi []int16, pivots *uint64) bool { buf := [64]uint64{} ctzList := [32]uint64{} @@ -141,6 +144,12 @@ func movColumns(mat *[pkNRows][sysN / 8]byte, pi []int16, pivots *uint64) bool { {{end}} // nolint:unparam +// Public key generation. Generate the public key `pk`, +// permutation `pi` and pivot element `pivots` based on the +// secret key `sk` and permutation `perm` provided. +// `pk` has `max(1 << GFBITS, SYS_N)` elements which is +// 4096 for mceliece348864 and 8192 for mceliece8192128. +// `sk` has `2 * SYS_T` elements and perm `1 << GFBITS`. func pkGen(pk *[pkNRows * pkRowBytes]byte, sk []byte, perm *[1 << gfBits]uint32, pi *[1 << gfBits]int16, pivots *uint64) bool { buf := [1 << gfBits]uint64{} mat := [pkNRows][sysN / 8]byte{} From ed1fba854ae06259d87edf26a5c8f054f59c69e5 Mon Sep 17 00:00:00 2001 From: octeep Date: Thu, 13 Oct 2022 06:09:29 +0100 Subject: [PATCH 04/14] compress testdata.txt --- kem/mceliece/internal/controlbits_test.go | 2 +- kem/mceliece/mceliece348864/benes_test.go | 2 +- kem/mceliece/mceliece460896/benes_test.go | 2 +- kem/mceliece/testdata/testdata.go | 3 ++- kem/mceliece/testdata/testdata.txt | 20 -------------------- kem/mceliece/testdata/testdata.txt.bz2 | Bin 0 -> 56442 bytes 6 files changed, 5 insertions(+), 24 deletions(-) delete mode 100644 kem/mceliece/testdata/testdata.txt create mode 100644 kem/mceliece/testdata/testdata.txt.bz2 diff --git a/kem/mceliece/internal/controlbits_test.go b/kem/mceliece/internal/controlbits_test.go index 775b07c98..2345ef43d 100644 --- a/kem/mceliece/internal/controlbits_test.go +++ b/kem/mceliece/internal/controlbits_test.go @@ -8,7 +8,7 @@ import ( "github.com/cloudflare/circl/kem/mceliece/testdata" ) -const testPath = "../testdata/testdata.txt" +const testPath = "../testdata/testdata.txt.bz2" func TestLayer1(t *testing.T) { N := 4 diff --git a/kem/mceliece/mceliece348864/benes_test.go b/kem/mceliece/mceliece348864/benes_test.go index 05c51cd78..c095eade3 100644 --- a/kem/mceliece/mceliece348864/benes_test.go +++ b/kem/mceliece/mceliece348864/benes_test.go @@ -9,7 +9,7 @@ import ( "github.com/cloudflare/circl/kem/mceliece/testdata" ) -const testPath = "../testdata/testdata.txt" +const testPath = "../testdata/testdata.txt.bz2" func TestLayer(t *testing.T) { data := [64]uint64{} diff --git a/kem/mceliece/mceliece460896/benes_test.go b/kem/mceliece/mceliece460896/benes_test.go index 7a8421070..d2c129272 100644 --- a/kem/mceliece/mceliece460896/benes_test.go +++ b/kem/mceliece/mceliece460896/benes_test.go @@ -9,7 +9,7 @@ import ( "github.com/cloudflare/circl/kem/mceliece/testdata" ) -const testPath = "../testdata/testdata.txt" +const testPath = "../testdata/testdata.txt.bz2" func TestLayerIn(t *testing.T) { data0, err := testdata.FindTestDataU64("mceliece460896_benes_layer_in_data0_before", testPath) diff --git a/kem/mceliece/testdata/testdata.go b/kem/mceliece/testdata/testdata.go index 71a90c077..4c05cba76 100644 --- a/kem/mceliece/testdata/testdata.go +++ b/kem/mceliece/testdata/testdata.go @@ -2,6 +2,7 @@ package testdata import ( "bufio" + "compress/bzip2" "encoding/base64" "encoding/binary" "errors" @@ -17,7 +18,7 @@ func FindTestDataByte(searchKey, path string) ([]byte, error) { return nil, err } - reader := bufio.NewReader(file) + reader := bufio.NewReader(bzip2.NewReader(file)) for { line, err := reader.ReadString('\n') if err == io.EOF { diff --git a/kem/mceliece/testdata/testdata.txt b/kem/mceliece/testdata/testdata.txt deleted file mode 100644 index db748ec75..000000000 --- a/kem/mceliece/testdata/testdata.txt +++ /dev/null @@ -1,20 +0,0 @@ -mceliece348864_benes_layer_bits = 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 -mceliece348864_benes_layer_data_before = /////wAAAAD/////AAAAAP////8AAAAA/////wAAAAD/////AAAAAP////8AAAAA/////wAAAAD/////AAAAAP////8AAAAA/////wAAAAD/////AAAAAP////8AAAAA/////wAAAAD/////AAAAAP////8AAAAA/////wAAAAD/////AAAAAP////8AAAAA/////wAAAAD/////AAAAAP////8AAAAA/////wAAAAD/////AAAAAP////8AAAAA/////wAAAAD/////AAAAAP////8AAAAA/////wAAAAD/////AAAAAP////8AAAAA/////wAAAAD/////AAAAAP////8AAAAA/////wAAAAD/////AAAAAP////8AAAAA/////wAAAAD/////AAAAAP////8AAAAA/////wAAAAD/////AAAAAP////8AAAAA/////wAAAAD/////AAAAAP////8AAAAA/////wAAAAD/////AAAAAP////8AAAAA/////wAAAAD/////AAAAAP////8AAAAA/////wAAAAD/////AAAAAP////8AAAAA/////wAAAAD/////AAAAAP////8AAAAA/////wAAAAD/////AAAAAP////8AAAAA/////wAAAAD/////AAAAAP////8AAAAA/////wAAAAA -mceliece348864_benes_layer_data_after = /////wAAAAD/////AAAAAP////8AAAAA/////wAAAAD/////AAAAAP////8AAAAA/////wAAAAD/////AAAAAP////8AAAAA/////wAAAAD/////AAAAAP////8AAAAA/////wAAAAD/////AAAAAP////8AAAAA/////wAAAAD/////AAAAAP////8AAAAA/////wAAAAD/////AAAAAP////8AAAAA/////wAAAAD/////AAAAAP////8AAAAA/////wAAAAD/////AAAAAP////8AAAAA/////wAAAAD/////AAAAAP////8AAAAA/////wAAAAD/////AAAAAP////8AAAAA/////wAAAAD/////AAAAAP////8AAAAA/////wAAAAD/////AAAAAP////8AAAAA/////wAAAAD/////AAAAAP////8AAAAA/////wAAAAD/////AAAAAP////8AAAAA/////wAAAAD/////AAAAAP////8AAAAA/////wAAAAD/////AAAAAP////8AAAAA/////wAAAAD/////AAAAAP////8AAAAA/////wAAAAD/////AAAAAP////8AAAAA/////wAAAAD/////AAAAAP////8AAAAA/////wAAAAD/////AAAAAP////8AAAAA/////wAAAAA -mceliece460896_benes_layer_in_bits = 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 -mceliece460896_benes_layer_in_data0_before = AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAP////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////8 -mceliece460896_benes_layer_in_data1_before = AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAP////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////8 -mceliece460896_benes_layer_in_data0_after = AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAP////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////8 -mceliece460896_benes_layer_in_data1_after = AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAP////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////8 -mceliece348864_benes_apply_benes_r_before = 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 -mceliece460896orlarger_benes_apply_benes_r_after = 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 -controlbits_kat3_mceliece348864_pi = 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z2_#XvOx_o(Y4mQc%POM>wX-#9mm%`28uzo=6tSd(QIc%F+a^<~?(6!G5XTKgnu-o2 zyz(q}RUC#&z2);x)|c+T2geRjOZqJM*4)y?8M6G1`TAhrKng;muzjE7!f!Qyk}a*E@1-qiM#fvhAF3 zW1me*B2Z87nY|O?IN#FoZ_+WOknII^Ys;L^LxkV33GaKSsuic4FUHF23RHQLrie@J za;|L&3~}Sew>0!gT|)nbr%OGP9O2pHWWAdm_{RT|zwd0Lcb%ui%vw`{2xVN$1m6Fc z+?%)?%ZQ!h4`^-PuShFu?A4I_n$8!l=+NsGSDU7>*Kg?!)r?MUVZEZf7379UH zQO3WRq1Eu@@@I&!zVjMidKuPUrZO* z{jOhi)Wq6Ybl_Mxw^BCJAS-7vtMywxcZr)!f-61Oi^ULYYM6s!zm3 zYEq)oWt6LZ+$v;zUH!0Iu=`(8h9=f_w3q3!lZ745>MA24a*z1;1htY8UC+1o(PI)S z*AWLEU(ihPmD7tl=}nF8RUAl0mNOew{@W&sBUC?LD+E4co5Qp4CQ^D?O3m3WJ~MwqE1$v4duq^S)c9MdTkIsIYNfZgpI{V vvPcasn4_yi<{^vB*qzB`7jo)y@g1|5q7vs6h}Z&9AO9C}ML1B9N+;d+9~26W literal 0 HcmV?d00001 From 728ed14ee678683c0c15e01bc9d0401cae2e2fb8 Mon Sep 17 00:00:00 2001 From: octeep Date: Thu, 13 Oct 2022 06:22:56 +0100 Subject: [PATCH 05/14] add TODO in pk_gen.go and add attribution to the Rust Classic McEliece devs --- kem/mceliece/mceliece348864/mceliece.go | 11 +++++++++++ kem/mceliece/mceliece348864/pk_gen.go | 1 + kem/mceliece/mceliece348864f/mceliece.go | 11 +++++++++++ kem/mceliece/mceliece348864f/pk_gen.go | 1 + kem/mceliece/mceliece460896/mceliece.go | 11 +++++++++++ kem/mceliece/mceliece460896/pk_gen.go | 1 + kem/mceliece/mceliece460896f/mceliece.go | 11 +++++++++++ kem/mceliece/mceliece460896f/pk_gen.go | 1 + kem/mceliece/mceliece6688128/mceliece.go | 11 +++++++++++ kem/mceliece/mceliece6688128/pk_gen.go | 1 + kem/mceliece/mceliece6688128f/mceliece.go | 11 +++++++++++ kem/mceliece/mceliece6688128f/pk_gen.go | 1 + kem/mceliece/mceliece6960119/mceliece.go | 11 +++++++++++ kem/mceliece/mceliece6960119/pk_gen.go | 1 + kem/mceliece/mceliece6960119f/mceliece.go | 11 +++++++++++ kem/mceliece/mceliece6960119f/pk_gen.go | 1 + kem/mceliece/mceliece8192128/mceliece.go | 11 +++++++++++ kem/mceliece/mceliece8192128/pk_gen.go | 1 + kem/mceliece/mceliece8192128f/mceliece.go | 11 +++++++++++ kem/mceliece/mceliece8192128f/pk_gen.go | 1 + kem/mceliece/templates/mceliece.templ.go | 11 +++++++++++ kem/mceliece/templates/pk_gen.templ.go | 2 ++ 22 files changed, 133 insertions(+) diff --git a/kem/mceliece/mceliece348864/mceliece.go b/kem/mceliece/mceliece348864/mceliece.go index 92a82da78..7a4cf2777 100644 --- a/kem/mceliece/mceliece348864/mceliece.go +++ b/kem/mceliece/mceliece348864/mceliece.go @@ -1,5 +1,16 @@ // Code generated from mceliece.templ.go. DO NOT EDIT. +// Package mceliece348864 implements the IND-CCA2 secure key encapsulation mechanism +// mceliece348864 as submitted to round 3 of the NIST PQC competition and +// described in +// +// https://classic.mceliece.org/nist/mceliece-20201010.pdf +// +// The following code is translated from the C reference implementation, and +// from a Rust implementation by Bernhard Berg, Lukas Prokop, Daniel Kales +// where direct translation from C is not applicable. +// +// https://github.com/Colfenor/classic-mceliece-rust package mceliece348864 import ( diff --git a/kem/mceliece/mceliece348864/pk_gen.go b/kem/mceliece/mceliece348864/pk_gen.go index 85599ada0..99e0bda0b 100644 --- a/kem/mceliece/mceliece348864/pk_gen.go +++ b/kem/mceliece/mceliece348864/pk_gen.go @@ -7,6 +7,7 @@ import ( "github.com/cloudflare/circl/math/gf4096" ) +// TODO: Optimize the Gaussian Elimination loop, possibly by porting the `vec` Reference Implementation? // nolint:unparam // Public key generation. Generate the public key `pk`, // permutation `pi` and pivot element `pivots` based on the diff --git a/kem/mceliece/mceliece348864f/mceliece.go b/kem/mceliece/mceliece348864f/mceliece.go index 55ebc35e2..62a58146a 100644 --- a/kem/mceliece/mceliece348864f/mceliece.go +++ b/kem/mceliece/mceliece348864f/mceliece.go @@ -1,5 +1,16 @@ // Code generated from mceliece.templ.go. DO NOT EDIT. +// Package mceliece348864f implements the IND-CCA2 secure key encapsulation mechanism +// mceliece348864f as submitted to round 3 of the NIST PQC competition and +// described in +// +// https://classic.mceliece.org/nist/mceliece-20201010.pdf +// +// The following code is translated from the C reference implementation, and +// from a Rust implementation by Bernhard Berg, Lukas Prokop, Daniel Kales +// where direct translation from C is not applicable. +// +// https://github.com/Colfenor/classic-mceliece-rust package mceliece348864f import ( diff --git a/kem/mceliece/mceliece348864f/pk_gen.go b/kem/mceliece/mceliece348864f/pk_gen.go index 206e532ed..404adf407 100644 --- a/kem/mceliece/mceliece348864f/pk_gen.go +++ b/kem/mceliece/mceliece348864f/pk_gen.go @@ -101,6 +101,7 @@ func movColumns(mat *[pkNRows][sysN / 8]byte, pi []int16, pivots *uint64) bool { return true } +// TODO: Optimize the Gaussian Elimination loop, possibly by porting the `vec` Reference Implementation? // nolint:unparam // Public key generation. Generate the public key `pk`, // permutation `pi` and pivot element `pivots` based on the diff --git a/kem/mceliece/mceliece460896/mceliece.go b/kem/mceliece/mceliece460896/mceliece.go index 8d16af4a9..a71564976 100644 --- a/kem/mceliece/mceliece460896/mceliece.go +++ b/kem/mceliece/mceliece460896/mceliece.go @@ -1,5 +1,16 @@ // Code generated from mceliece.templ.go. DO NOT EDIT. +// Package mceliece460896 implements the IND-CCA2 secure key encapsulation mechanism +// mceliece460896 as submitted to round 3 of the NIST PQC competition and +// described in +// +// https://classic.mceliece.org/nist/mceliece-20201010.pdf +// +// The following code is translated from the C reference implementation, and +// from a Rust implementation by Bernhard Berg, Lukas Prokop, Daniel Kales +// where direct translation from C is not applicable. +// +// https://github.com/Colfenor/classic-mceliece-rust package mceliece460896 import ( diff --git a/kem/mceliece/mceliece460896/pk_gen.go b/kem/mceliece/mceliece460896/pk_gen.go index cb489140f..eb91f48b1 100644 --- a/kem/mceliece/mceliece460896/pk_gen.go +++ b/kem/mceliece/mceliece460896/pk_gen.go @@ -7,6 +7,7 @@ import ( "github.com/cloudflare/circl/math/gf8192" ) +// TODO: Optimize the Gaussian Elimination loop, possibly by porting the `vec` Reference Implementation? // nolint:unparam // Public key generation. Generate the public key `pk`, // permutation `pi` and pivot element `pivots` based on the diff --git a/kem/mceliece/mceliece460896f/mceliece.go b/kem/mceliece/mceliece460896f/mceliece.go index 0df25b6f5..7aa9e4bbe 100644 --- a/kem/mceliece/mceliece460896f/mceliece.go +++ b/kem/mceliece/mceliece460896f/mceliece.go @@ -1,5 +1,16 @@ // Code generated from mceliece.templ.go. DO NOT EDIT. +// Package mceliece460896f implements the IND-CCA2 secure key encapsulation mechanism +// mceliece460896f as submitted to round 3 of the NIST PQC competition and +// described in +// +// https://classic.mceliece.org/nist/mceliece-20201010.pdf +// +// The following code is translated from the C reference implementation, and +// from a Rust implementation by Bernhard Berg, Lukas Prokop, Daniel Kales +// where direct translation from C is not applicable. +// +// https://github.com/Colfenor/classic-mceliece-rust package mceliece460896f import ( diff --git a/kem/mceliece/mceliece460896f/pk_gen.go b/kem/mceliece/mceliece460896f/pk_gen.go index 91a7c4a41..6b60ce9aa 100644 --- a/kem/mceliece/mceliece460896f/pk_gen.go +++ b/kem/mceliece/mceliece460896f/pk_gen.go @@ -101,6 +101,7 @@ func movColumns(mat *[pkNRows][sysN / 8]byte, pi []int16, pivots *uint64) bool { return true } +// TODO: Optimize the Gaussian Elimination loop, possibly by porting the `vec` Reference Implementation? // nolint:unparam // Public key generation. Generate the public key `pk`, // permutation `pi` and pivot element `pivots` based on the diff --git a/kem/mceliece/mceliece6688128/mceliece.go b/kem/mceliece/mceliece6688128/mceliece.go index 738519149..a37bc08b8 100644 --- a/kem/mceliece/mceliece6688128/mceliece.go +++ b/kem/mceliece/mceliece6688128/mceliece.go @@ -1,5 +1,16 @@ // Code generated from mceliece.templ.go. DO NOT EDIT. +// Package mceliece6688128 implements the IND-CCA2 secure key encapsulation mechanism +// mceliece6688128 as submitted to round 3 of the NIST PQC competition and +// described in +// +// https://classic.mceliece.org/nist/mceliece-20201010.pdf +// +// The following code is translated from the C reference implementation, and +// from a Rust implementation by Bernhard Berg, Lukas Prokop, Daniel Kales +// where direct translation from C is not applicable. +// +// https://github.com/Colfenor/classic-mceliece-rust package mceliece6688128 import ( diff --git a/kem/mceliece/mceliece6688128/pk_gen.go b/kem/mceliece/mceliece6688128/pk_gen.go index ee76ce57c..dd8d200b6 100644 --- a/kem/mceliece/mceliece6688128/pk_gen.go +++ b/kem/mceliece/mceliece6688128/pk_gen.go @@ -7,6 +7,7 @@ import ( "github.com/cloudflare/circl/math/gf8192" ) +// TODO: Optimize the Gaussian Elimination loop, possibly by porting the `vec` Reference Implementation? // nolint:unparam // Public key generation. Generate the public key `pk`, // permutation `pi` and pivot element `pivots` based on the diff --git a/kem/mceliece/mceliece6688128f/mceliece.go b/kem/mceliece/mceliece6688128f/mceliece.go index 2dc80c91a..3cfd2aa8e 100644 --- a/kem/mceliece/mceliece6688128f/mceliece.go +++ b/kem/mceliece/mceliece6688128f/mceliece.go @@ -1,5 +1,16 @@ // Code generated from mceliece.templ.go. DO NOT EDIT. +// Package mceliece6688128f implements the IND-CCA2 secure key encapsulation mechanism +// mceliece6688128f as submitted to round 3 of the NIST PQC competition and +// described in +// +// https://classic.mceliece.org/nist/mceliece-20201010.pdf +// +// The following code is translated from the C reference implementation, and +// from a Rust implementation by Bernhard Berg, Lukas Prokop, Daniel Kales +// where direct translation from C is not applicable. +// +// https://github.com/Colfenor/classic-mceliece-rust package mceliece6688128f import ( diff --git a/kem/mceliece/mceliece6688128f/pk_gen.go b/kem/mceliece/mceliece6688128f/pk_gen.go index a670e318d..7339e6fa8 100644 --- a/kem/mceliece/mceliece6688128f/pk_gen.go +++ b/kem/mceliece/mceliece6688128f/pk_gen.go @@ -101,6 +101,7 @@ func movColumns(mat *[pkNRows][sysN / 8]byte, pi []int16, pivots *uint64) bool { return true } +// TODO: Optimize the Gaussian Elimination loop, possibly by porting the `vec` Reference Implementation? // nolint:unparam // Public key generation. Generate the public key `pk`, // permutation `pi` and pivot element `pivots` based on the diff --git a/kem/mceliece/mceliece6960119/mceliece.go b/kem/mceliece/mceliece6960119/mceliece.go index 2bbea8cea..a99d4080d 100644 --- a/kem/mceliece/mceliece6960119/mceliece.go +++ b/kem/mceliece/mceliece6960119/mceliece.go @@ -1,5 +1,16 @@ // Code generated from mceliece.templ.go. DO NOT EDIT. +// Package mceliece6960119 implements the IND-CCA2 secure key encapsulation mechanism +// mceliece6960119 as submitted to round 3 of the NIST PQC competition and +// described in +// +// https://classic.mceliece.org/nist/mceliece-20201010.pdf +// +// The following code is translated from the C reference implementation, and +// from a Rust implementation by Bernhard Berg, Lukas Prokop, Daniel Kales +// where direct translation from C is not applicable. +// +// https://github.com/Colfenor/classic-mceliece-rust package mceliece6960119 import ( diff --git a/kem/mceliece/mceliece6960119/pk_gen.go b/kem/mceliece/mceliece6960119/pk_gen.go index 1097aee87..b4de9e5e2 100644 --- a/kem/mceliece/mceliece6960119/pk_gen.go +++ b/kem/mceliece/mceliece6960119/pk_gen.go @@ -7,6 +7,7 @@ import ( "github.com/cloudflare/circl/math/gf8192" ) +// TODO: Optimize the Gaussian Elimination loop, possibly by porting the `vec` Reference Implementation? // nolint:unparam // Public key generation. Generate the public key `pk`, // permutation `pi` and pivot element `pivots` based on the diff --git a/kem/mceliece/mceliece6960119f/mceliece.go b/kem/mceliece/mceliece6960119f/mceliece.go index 77f729233..eb5e51048 100644 --- a/kem/mceliece/mceliece6960119f/mceliece.go +++ b/kem/mceliece/mceliece6960119f/mceliece.go @@ -1,5 +1,16 @@ // Code generated from mceliece.templ.go. DO NOT EDIT. +// Package mceliece6960119f implements the IND-CCA2 secure key encapsulation mechanism +// mceliece6960119f as submitted to round 3 of the NIST PQC competition and +// described in +// +// https://classic.mceliece.org/nist/mceliece-20201010.pdf +// +// The following code is translated from the C reference implementation, and +// from a Rust implementation by Bernhard Berg, Lukas Prokop, Daniel Kales +// where direct translation from C is not applicable. +// +// https://github.com/Colfenor/classic-mceliece-rust package mceliece6960119f import ( diff --git a/kem/mceliece/mceliece6960119f/pk_gen.go b/kem/mceliece/mceliece6960119f/pk_gen.go index a31e184ed..0936ac10d 100644 --- a/kem/mceliece/mceliece6960119f/pk_gen.go +++ b/kem/mceliece/mceliece6960119f/pk_gen.go @@ -119,6 +119,7 @@ func movColumns(mat *[pkNRows][sysN / 8]byte, pi []int16, pivots *uint64) bool { return true } +// TODO: Optimize the Gaussian Elimination loop, possibly by porting the `vec` Reference Implementation? // nolint:unparam // Public key generation. Generate the public key `pk`, // permutation `pi` and pivot element `pivots` based on the diff --git a/kem/mceliece/mceliece8192128/mceliece.go b/kem/mceliece/mceliece8192128/mceliece.go index 3e2999b0c..f7d5b2147 100644 --- a/kem/mceliece/mceliece8192128/mceliece.go +++ b/kem/mceliece/mceliece8192128/mceliece.go @@ -1,5 +1,16 @@ // Code generated from mceliece.templ.go. DO NOT EDIT. +// Package mceliece8192128 implements the IND-CCA2 secure key encapsulation mechanism +// mceliece8192128 as submitted to round 3 of the NIST PQC competition and +// described in +// +// https://classic.mceliece.org/nist/mceliece-20201010.pdf +// +// The following code is translated from the C reference implementation, and +// from a Rust implementation by Bernhard Berg, Lukas Prokop, Daniel Kales +// where direct translation from C is not applicable. +// +// https://github.com/Colfenor/classic-mceliece-rust package mceliece8192128 import ( diff --git a/kem/mceliece/mceliece8192128/pk_gen.go b/kem/mceliece/mceliece8192128/pk_gen.go index 18daa225b..970e76145 100644 --- a/kem/mceliece/mceliece8192128/pk_gen.go +++ b/kem/mceliece/mceliece8192128/pk_gen.go @@ -7,6 +7,7 @@ import ( "github.com/cloudflare/circl/math/gf8192" ) +// TODO: Optimize the Gaussian Elimination loop, possibly by porting the `vec` Reference Implementation? // nolint:unparam // Public key generation. Generate the public key `pk`, // permutation `pi` and pivot element `pivots` based on the diff --git a/kem/mceliece/mceliece8192128f/mceliece.go b/kem/mceliece/mceliece8192128f/mceliece.go index 9d2cc7a08..ed969b677 100644 --- a/kem/mceliece/mceliece8192128f/mceliece.go +++ b/kem/mceliece/mceliece8192128f/mceliece.go @@ -1,5 +1,16 @@ // Code generated from mceliece.templ.go. DO NOT EDIT. +// Package mceliece8192128f implements the IND-CCA2 secure key encapsulation mechanism +// mceliece8192128f as submitted to round 3 of the NIST PQC competition and +// described in +// +// https://classic.mceliece.org/nist/mceliece-20201010.pdf +// +// The following code is translated from the C reference implementation, and +// from a Rust implementation by Bernhard Berg, Lukas Prokop, Daniel Kales +// where direct translation from C is not applicable. +// +// https://github.com/Colfenor/classic-mceliece-rust package mceliece8192128f import ( diff --git a/kem/mceliece/mceliece8192128f/pk_gen.go b/kem/mceliece/mceliece8192128f/pk_gen.go index af97d985e..ed32db548 100644 --- a/kem/mceliece/mceliece8192128f/pk_gen.go +++ b/kem/mceliece/mceliece8192128f/pk_gen.go @@ -101,6 +101,7 @@ func movColumns(mat *[pkNRows][sysN / 8]byte, pi []int16, pivots *uint64) bool { return true } +// TODO: Optimize the Gaussian Elimination loop, possibly by porting the `vec` Reference Implementation? // nolint:unparam // Public key generation. Generate the public key `pk`, // permutation `pi` and pivot element `pivots` based on the diff --git a/kem/mceliece/templates/mceliece.templ.go b/kem/mceliece/templates/mceliece.templ.go index 726d628be..88341f4c6 100644 --- a/kem/mceliece/templates/mceliece.templ.go +++ b/kem/mceliece/templates/mceliece.templ.go @@ -4,6 +4,17 @@ // Code generated from mceliece.templ.go. DO NOT EDIT. +// Package {{.Pkg}} implements the IND-CCA2 secure key encapsulation mechanism +// {{.Pkg}} as submitted to round 3 of the NIST PQC competition and +// described in +// +// https://classic.mceliece.org/nist/mceliece-20201010.pdf +// +// The following code is translated from the C reference implementation, and +// from a Rust implementation by Bernhard Berg, Lukas Prokop, Daniel Kales +// where direct translation from C is not applicable. +// +// https://github.com/Colfenor/classic-mceliece-rust package {{.Pkg}} import ( diff --git a/kem/mceliece/templates/pk_gen.templ.go b/kem/mceliece/templates/pk_gen.templ.go index e7effe3a4..9c32c84b3 100644 --- a/kem/mceliece/templates/pk_gen.templ.go +++ b/kem/mceliece/templates/pk_gen.templ.go @@ -143,6 +143,8 @@ func movColumns(mat *[pkNRows][sysN / 8]byte, pi []int16, pivots *uint64) bool { } {{end}} + +// TODO: Optimize the Gaussian Elimination loop, possibly by porting the `vec` Reference Implementation? // nolint:unparam // Public key generation. Generate the public key `pk`, // permutation `pi` and pivot element `pivots` based on the From 1b8c3d068acfe80b2817d8dbfeff862a0d1319ac Mon Sep 17 00:00:00 2001 From: Wind Wong Date: Fri, 14 Oct 2022 05:39:42 +0100 Subject: [PATCH 06/14] Implement vectorization for systematic parameters (#1) --- kem/mceliece/gen.go | 9 + kem/mceliece/internal/fft_const.go | 3096 ++++++++++++++++++++ kem/mceliece/internal/powers.go | 2828 ++++++++++++++++++ kem/mceliece/mceliece348864/fft.go | 60 + kem/mceliece/mceliece348864/pk_gen.go | 282 +- kem/mceliece/mceliece348864/vec.go | 119 + kem/mceliece/mceliece460896/fft.go | 205 ++ kem/mceliece/mceliece460896/pk_gen.go | 299 +- kem/mceliece/mceliece460896/vec.go | 129 + kem/mceliece/mceliece6688128/fft.go | 212 ++ kem/mceliece/mceliece6688128/pk_gen.go | 285 +- kem/mceliece/mceliece6688128/vec.go | 129 + kem/mceliece/mceliece6960119/fft.go | 205 ++ kem/mceliece/mceliece6960119/pk_gen.go | 306 +- kem/mceliece/mceliece6960119/vec.go | 129 + kem/mceliece/mceliece8192128/fft.go | 212 ++ kem/mceliece/mceliece8192128/pk_gen.go | 276 +- kem/mceliece/mceliece8192128/vec.go | 129 + kem/mceliece/templates/fft_other.templ.go | 218 ++ kem/mceliece/templates/pk_gen_vec.templ.go | 413 +++ kem/mceliece/templates/vec.templ.go | 162 + 21 files changed, 9303 insertions(+), 400 deletions(-) create mode 100644 kem/mceliece/internal/fft_const.go create mode 100644 kem/mceliece/internal/powers.go create mode 100644 kem/mceliece/mceliece348864/fft.go create mode 100644 kem/mceliece/mceliece348864/vec.go create mode 100644 kem/mceliece/mceliece460896/fft.go create mode 100644 kem/mceliece/mceliece460896/vec.go create mode 100644 kem/mceliece/mceliece6688128/fft.go create mode 100644 kem/mceliece/mceliece6688128/vec.go create mode 100644 kem/mceliece/mceliece6960119/fft.go create mode 100644 kem/mceliece/mceliece6960119/vec.go create mode 100644 kem/mceliece/mceliece8192128/fft.go create mode 100644 kem/mceliece/mceliece8192128/vec.go create mode 100644 kem/mceliece/templates/fft_other.templ.go create mode 100644 kem/mceliece/templates/pk_gen_vec.templ.go create mode 100644 kem/mceliece/templates/vec.templ.go diff --git a/kem/mceliece/gen.go b/kem/mceliece/gen.go index 2f7282bdc..b927702a6 100644 --- a/kem/mceliece/gen.go +++ b/kem/mceliece/gen.go @@ -55,6 +55,10 @@ func (m Instance) Is8192128() bool { return strings.Contains(m.Name, "8192128") } +func IsSystematic(m Instance) bool { + return !m.IsSemiSystematic() +} + var ( McElieceParam348864 = Param{ Gf: "gf4096", @@ -118,6 +122,11 @@ func main() { generateTemplateFilesIf("templates/operations_6960119.templ.go", "operations", func(m Instance) bool { return m.Is6960119() }) generateTemplateFiles("templates/mceliece.templ.go", "mceliece") generateTemplateFiles("templates/pk_gen.templ.go", "pk_gen") + generateTemplateFilesIf("templates/pk_gen_vec.templ.go", "pk_gen", IsSystematic) + generateTemplateFilesIf("templates/vec.templ.go", "vec", IsSystematic) + generateTemplateFilesIf("templates/fft_other.templ.go", "fft", func(m Instance) bool { + return IsSystematic(m) && !m.Is348864() + }) } func generateTemplateFiles(templatePath, outputName string) { diff --git a/kem/mceliece/internal/fft_const.go b/kem/mceliece/internal/fft_const.go new file mode 100644 index 000000000..fa53575d6 --- /dev/null +++ b/kem/mceliece/internal/fft_const.go @@ -0,0 +1,3096 @@ +package internal + +import ( + "github.com/cloudflare/circl/math/gf4096" + "github.com/cloudflare/circl/math/gf8192" +) + +var ButterfliesReversal4096 = [64]byte{ + 0, 32, 16, 48, 8, 40, 24, 56, + 4, 36, 20, 52, 12, 44, 28, 60, + 2, 34, 18, 50, 10, 42, 26, 58, + 6, 38, 22, 54, 14, 46, 30, 62, + 1, 33, 17, 49, 9, 41, 25, 57, + 5, 37, 21, 53, 13, 45, 29, 61, + 3, 35, 19, 51, 11, 43, 27, 59, + 7, 39, 23, 55, 15, 47, 31, 63, +} + +var ButterfliesReversal = [128]byte{ + 0, 64, 32, 96, 16, 80, 48, 112, + 8, 72, 40, 104, 24, 88, 56, 120, + 4, 68, 36, 100, 20, 84, 52, 116, + 12, 76, 44, 108, 28, 92, 60, 124, + 2, 66, 34, 98, 18, 82, 50, 114, + 10, 74, 42, 106, 26, 90, 58, 122, + 6, 70, 38, 102, 22, 86, 54, 118, + 14, 78, 46, 110, 30, 94, 62, 126, + 1, 65, 33, 97, 17, 81, 49, 113, + 9, 73, 41, 105, 25, 89, 57, 121, + 5, 69, 37, 101, 21, 85, 53, 117, + 13, 77, 45, 109, 29, 93, 61, 125, + 3, 67, 35, 99, 19, 83, 51, 115, + 11, 75, 43, 107, 27, 91, 59, 123, + 7, 71, 39, 103, 23, 87, 55, 119, + 15, 79, 47, 111, 31, 95, 63, 127, +} + +var ButterfliesBeta = [7]uint16{2522, 7827, 7801, 8035, 6897, 8167, 3476} + +var RadixConversionsMask = [5][2]uint64{ + {0x8888888888888888, 0x4444444444444444}, + {0xC0C0C0C0C0C0C0C0, 0x3030303030303030}, + {0xF000F000F000F000, 0x0F000F000F000F00}, + {0xFF000000FF000000, 0x00FF000000FF0000}, + {0xFFFF000000000000, 0x0000FFFF00000000}, +} + +var ButterfliesConst = [128][gf8192.GfBits]uint64{ + { + 0x6969969669699696, + 0x9966669966999966, + 0x9966669966999966, + 0xFF0000FF00FFFF00, + 0xCC3333CCCC3333CC, + 0x9966669966999966, + 0x6666666666666666, + 0xA55AA55AA55AA55A, + 0xCCCC33333333CCCC, + 0x5A5A5A5A5A5A5A5A, + 0x55AAAA55AA5555AA, + 0x0FF0F00FF00F0FF0, + 0x5AA55AA5A55AA55A, + }, + { + 0x6969969669699696, + 0x9966669966999966, + 0x9966669966999966, + 0xFF0000FF00FFFF00, + 0xCC3333CCCC3333CC, + 0x9966669966999966, + 0x6666666666666666, + 0xA55AA55AA55AA55A, + 0xCCCC33333333CCCC, + 0x5A5A5A5A5A5A5A5A, + 0x55AAAA55AA5555AA, + 0x0FF0F00FF00F0FF0, + 0x5AA55AA5A55AA55A, + }, + { + 0xA55A5AA55AA5A55A, + 0x6969696996969696, + 0x5AA55AA5A55AA55A, + 0x9999999966666666, + 0x3C3CC3C3C3C33C3C, + 0xFFFF0000FFFF0000, + 0x0000000000000000, + 0xCC33CC3333CC33CC, + 0x0000000000000000, + 0x3C3C3C3C3C3C3C3C, + 0xAA5555AAAA5555AA, + 0xC33C3CC33CC3C33C, + 0x00FFFF0000FFFF00, + }, + { + 0xA55A5AA55AA5A55A, + 0x6969696996969696, + 0x5AA55AA5A55AA55A, + 0x6666666699999999, + 0xC3C33C3C3C3CC3C3, + 0x0000FFFF0000FFFF, + 0x0000000000000000, + 0x33CC33CCCC33CC33, + 0x0000000000000000, + 0x3C3C3C3C3C3C3C3C, + 0xAA5555AAAA5555AA, + 0xC33C3CC33CC3C33C, + 0xFF0000FFFF0000FF, + }, + { + 0xFFFFFFFF00000000, + 0xA5A5A5A55A5A5A5A, + 0x0FF0F00FF00F0FF0, + 0x9669966969966996, + 0x0000FFFFFFFF0000, + 0x33333333CCCCCCCC, + 0xA55A5AA55AA5A55A, + 0x00FFFF0000FFFF00, + 0x0000000000000000, + 0xC33CC33CC33CC33C, + 0x0F0FF0F00F0FF0F0, + 0xCCCCCCCCCCCCCCCC, + 0xAAAA55555555AAAA, + }, + { + 0xFFFFFFFF00000000, + 0xA5A5A5A55A5A5A5A, + 0x0FF0F00FF00F0FF0, + 0x6996699696699669, + 0xFFFF00000000FFFF, + 0x33333333CCCCCCCC, + 0x5AA5A55AA55A5AA5, + 0xFF0000FFFF0000FF, + 0xFFFFFFFFFFFFFFFF, + 0xC33CC33CC33CC33C, + 0x0F0FF0F00F0FF0F0, + 0xCCCCCCCCCCCCCCCC, + 0x5555AAAAAAAA5555, + }, + { + 0xFFFFFFFF00000000, + 0x5A5A5A5AA5A5A5A5, + 0xF00F0FF00FF0F00F, + 0x6996699696699669, + 0x0000FFFFFFFF0000, + 0x33333333CCCCCCCC, + 0x5AA5A55AA55A5AA5, + 0xFF0000FFFF0000FF, + 0xFFFFFFFFFFFFFFFF, + 0xC33CC33CC33CC33C, + 0x0F0FF0F00F0FF0F0, + 0xCCCCCCCCCCCCCCCC, + 0xAAAA55555555AAAA, + }, + { + 0xFFFFFFFF00000000, + 0x5A5A5A5AA5A5A5A5, + 0xF00F0FF00FF0F00F, + 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0xFFFF0000FFFF0000, + 0xFF00FF00FF00FF00, + 0xF0F0F0F0F0F0F0F0, + 0xCCCCCCCCCCCCCCCC, + 0xAAAAAAAAAAAAAAAA, + }, + { + 0x0000000000000000, + 0xFFFFFFFFFFFFFFFF, + 0xFFFFFFFFFFFFFFFF, + 0xFFFFFFFFFFFFFFFF, + 0x0000000000000000, + 0xFFFFFFFFFFFFFFFF, + 0x0000000000000000, + 0xFFFFFFFF00000000, + 0xFFFF0000FFFF0000, + 0xFF00FF00FF00FF00, + 0xF0F0F0F0F0F0F0F0, + 0xCCCCCCCCCCCCCCCC, + 0xAAAAAAAAAAAAAAAA, + }, + { + 0x0000000000000000, + 0xFFFFFFFFFFFFFFFF, + 0xFFFFFFFFFFFFFFFF, + 0xFFFFFFFFFFFFFFFF, + 0x0000000000000000, + 0xFFFFFFFFFFFFFFFF, + 0xFFFFFFFFFFFFFFFF, + 0xFFFFFFFF00000000, + 0xFFFF0000FFFF0000, + 0xFF00FF00FF00FF00, + 0xF0F0F0F0F0F0F0F0, + 0xCCCCCCCCCCCCCCCC, + 0xAAAAAAAAAAAAAAAA, + }, + { + 0x0000000000000000, + 0xFFFFFFFFFFFFFFFF, + 0xFFFFFFFFFFFFFFFF, + 0xFFFFFFFFFFFFFFFF, + 0xFFFFFFFFFFFFFFFF, + 0x0000000000000000, + 0x0000000000000000, + 0xFFFFFFFF00000000, + 0xFFFF0000FFFF0000, + 0xFF00FF00FF00FF00, + 0xF0F0F0F0F0F0F0F0, + 0xCCCCCCCCCCCCCCCC, + 0xAAAAAAAAAAAAAAAA, + }, + { + 0x0000000000000000, + 0xFFFFFFFFFFFFFFFF, + 0xFFFFFFFFFFFFFFFF, + 0xFFFFFFFFFFFFFFFF, + 0xFFFFFFFFFFFFFFFF, + 0x0000000000000000, + 0xFFFFFFFFFFFFFFFF, + 0xFFFFFFFF00000000, + 0xFFFF0000FFFF0000, + 0xFF00FF00FF00FF00, + 0xF0F0F0F0F0F0F0F0, + 0xCCCCCCCCCCCCCCCC, + 0xAAAAAAAAAAAAAAAA, + }, + { + 0x0000000000000000, + 0xFFFFFFFFFFFFFFFF, + 0xFFFFFFFFFFFFFFFF, + 0xFFFFFFFFFFFFFFFF, + 0xFFFFFFFFFFFFFFFF, + 0xFFFFFFFFFFFFFFFF, + 0x0000000000000000, + 0xFFFFFFFF00000000, + 0xFFFF0000FFFF0000, + 0xFF00FF00FF00FF00, + 0xF0F0F0F0F0F0F0F0, + 0xCCCCCCCCCCCCCCCC, + 0xAAAAAAAAAAAAAAAA, + }, + { + 0x0000000000000000, + 0xFFFFFFFFFFFFFFFF, + 0xFFFFFFFFFFFFFFFF, + 0xFFFFFFFFFFFFFFFF, + 0xFFFFFFFFFFFFFFFF, + 0xFFFFFFFFFFFFFFFF, + 0xFFFFFFFFFFFFFFFF, + 0xFFFFFFFF00000000, + 0xFFFF0000FFFF0000, + 0xFF00FF00FF00FF00, + 0xF0F0F0F0F0F0F0F0, + 0xCCCCCCCCCCCCCCCC, + 0xAAAAAAAAAAAAAAAA, + }, +} + +var RadixConversionsS = [5][2][gf8192.GfBits]uint64{ + { + { + 0x3C3CF30C0000C003, + 0x0CCCC3F333C0000C, + 0x03C33F33FCC0C03C, + 0x0003000F3C03C0C0, + 0xF33FF33030CF03F0, + 0x0CF0303300F0CCC0, + 0xFF3F0C0CC0FF3CC0, + 0xCF3CF0FF003FC000, + 0xC00FF3CF0303F300, + 0x3CCC0CC00CF0CC00, + 0xF30FFC3C3FCCFC00, + 0x3F0FC3F0CCF0C000, + 0x3000FF33CCF0F000, + }, + { + 0x0C0F0FCF0F0CF330, + 0xF0000FC33C3CCF3C, + 0x3C0F3F00C3C300FC, + 0x3C33CCC0F0F3CC30, + 0xC0CFFFFFCCCC30CC, + 0x3FC3F3CCFFFC033F, + 0xFC3030CCCCC0CFCF, + 0x0FCF0C00CCF333C3, + 0xCFFCF33000CFF030, + 0x00CFFCC330F30FCC, + 0x3CCC3FCCC0F3FFF3, + 0xF00F0C3FC003C0FF, + 0x330CCFCC03C0FC33, + }, + }, + { + { + 0x0F0F0FF0F000000F, + 0x00FFFFFFFF0000F0, + 0xFFFF00FF00000F00, + 0xFFF000F00F0FF000, + 0xFFF0000F0FF000F0, + 0x00FF000FFF000000, + 0xFF0F0FFF0F0FF000, + 0x0FFF0000000F0000, + 0x00F000F0FFF00F00, + 0x00F00FF00F00F000, + 0xFFF000F000F00000, + 0x00F00F000FF00000, + 0x0000FF0F0000F000, + }, + { + 0xF0FFFFFFF0F00F00, + 0x00FFF0FFFF0000FF, + 0x00FF00000F0F0FFF, + 0xF000F0000F00FF0F, + 0xFF000000FFF00000, + 0xF0FF000FF00F0FF0, + 0x0F0F0F00FF000F0F, + 0x0F0F00F0F0F0F000, + 0x00F00F00F00F000F, + 0x00F0F0F00000FFF0, + 0xFFFFFF0FF00F0FFF, + 0x0F0FFFF00FFFFFFF, + 0xFFFF0F0FFF0FFF00, + }, + }, + { + { + 0x00FF0000000000FF, + 0xFFFFFFFFFF00FF00, + 0xFF0000FF00FF0000, + 0xFFFF000000FF0000, + 0xFF00000000FF0000, + 0x00FFFFFFFF000000, + 0xFF0000FFFFFF0000, + 0xFF00FF00FFFF0000, + 0x00FFFFFFFF00FF00, + 0xFFFF000000000000, + 0x00FF0000FF000000, + 0xFF00FF00FF000000, + 0x00FF00FFFF000000, + }, + { + 0x00FF00FF00FF0000, + 0xFF00FFFF000000FF, + 0x0000FFFF000000FF, + 0x00FFFF00FF000000, + 0xFFFFFF0000FF00FF, + 0x0000FFFF00FFFF00, + 0xFF00FF0000FFFF00, + 0x00000000FFFFFFFF, + 0x0000FF0000000000, + 0xFF00FFFF00FFFF00, + 0x00FFFF00000000FF, + 0x0000FF00FF00FFFF, + 0xFF0000FFFFFF0000, + }, + }, + { + { + 0x000000000000FFFF, + 0xFFFFFFFFFFFF0000, + 0x0000000000000000, + 0xFFFF0000FFFF0000, + 0xFFFFFFFFFFFF0000, + 0x0000FFFF00000000, + 0x0000FFFFFFFF0000, + 0xFFFF0000FFFF0000, + 0x0000FFFF00000000, + 0xFFFF000000000000, + 0xFFFF000000000000, + 0xFFFF000000000000, + 0xFFFFFFFF00000000, + }, + { + 0x0000FFFF00000000, + 0xFFFFFFFF0000FFFF, + 0x00000000FFFFFFFF, + 0x0000000000000000, + 0x0000FFFF00000000, + 0xFFFF0000FFFF0000, + 0x0000FFFFFFFF0000, + 0x0000FFFF0000FFFF, + 0xFFFFFFFF0000FFFF, + 0x00000000FFFF0000, + 0xFFFF0000FFFFFFFF, + 0xFFFF0000FFFFFFFF, + 0x0000000000000000, + }, + }, + { + { + 0x00000000FFFFFFFF, + 0x0000000000000000, + 0xFFFFFFFF00000000, + 0x0000000000000000, + 0xFFFFFFFF00000000, + 0xFFFFFFFF00000000, + 0xFFFFFFFF00000000, + 0x0000000000000000, + 0xFFFFFFFF00000000, + 0x0000000000000000, + 0x0000000000000000, + 0x0000000000000000, + 0xFFFFFFFF00000000, + }, + { + 0x0000000000000000, + 0xFFFFFFFFFFFFFFFF, + 0x0000000000000000, + 0x0000000000000000, + 0x00000000FFFFFFFF, + 0xFFFFFFFF00000000, + 0x0000000000000000, + 0xFFFFFFFFFFFFFFFF, + 0x00000000FFFFFFFF, + 0xFFFFFFFF00000000, + 0xFFFFFFFFFFFFFFFF, + 0xFFFFFFFFFFFFFFFF, + 0xFFFFFFFF00000000, + }, + }, +} + +var RadixConversionsS4096 = [5][gf4096.GfBits]uint64{ + { + 0xF3CFC030FC30F003, + 0x3FCF0F003C00C00C, + 0x30033CC300C0C03C, + 0xCCFF0F3C0F30F0C0, + 0x0300C03FF303C3F0, + 0x3FFF3C0FF0CCCCC0, + 0xF3FFF0C00F3C3CC0, + 0x3003333FFFC3C000, + 0x0FF30FFFC3FFF300, + 0xFFC0F300F0F0CC00, + 0xC0CFF3FCCC3CFC00, + 0xFC3C03F0F330C000, + }, + { + 0x000F00000000F00F, + 0x00000F00F00000F0, + 0x0F00000F00000F00, + 0xF00F00F00F000000, + 0x00F00000000000F0, + 0x0000000F00000000, + 0xF00000000F00F000, + 0x00F00F00000F0000, + 0x0000F00000F00F00, + 0x000F00F00F00F000, + 0x00F00F0000000000, + 0x0000000000F00000, + }, + { + 0x0000FF00FF0000FF, + 0x0000FF000000FF00, + 0xFF0000FF00FF0000, + 0xFFFF0000FF000000, + 0x00FF00FF00FF0000, + 0x0000FFFFFF000000, + 0x00FFFF00FF000000, + 0xFFFFFF0000FF0000, + 0xFFFF00FFFF00FF00, + 0x0000FF0000000000, + 0xFFFFFF00FF000000, + 0x00FF000000000000, + }, + { + 0x000000000000FFFF, + 0x00000000FFFF0000, + 0x0000000000000000, + 0xFFFF000000000000, + 0x00000000FFFF0000, + 0x0000FFFF00000000, + 0x0000000000000000, + 0x00000000FFFF0000, + 0x0000FFFF00000000, + 0x0000000000000000, + 0x0000000000000000, + 0x0000000000000000, + }, + { + 0x00000000FFFFFFFF, + 0xFFFFFFFF00000000, + 0xFFFFFFFF00000000, + 0x0000000000000000, + 0x0000000000000000, + 0xFFFFFFFF00000000, + 0x0000000000000000, + 0x0000000000000000, + 0xFFFFFFFF00000000, + 0x0000000000000000, + 0x0000000000000000, + 0x0000000000000000, + }, +} + +var ButterfliesConsts4096 = [63][gf4096.GfBits]uint64{ + // 64 + { + 0xF00F0FF0F00F0FF0, + 0xF0F00F0F0F0FF0F0, + 0x0FF00FF00FF00FF0, + 0xAA5555AAAA5555AA, + 0xF00F0FF0F00F0FF0, + 0x33CCCC33CC3333CC, + 0xFFFF0000FFFF0000, + 0xCC33CC3333CC33CC, + 0x33CC33CC33CC33CC, + 0x5A5A5A5A5A5A5A5A, + 0xFF00FF00FF00FF00, + 0xF00F0FF0F00F0FF0, + }, + // 128 + { + 0x3C3C3C3C3C3C3C3C, + 0xF0F0F0F0F0F0F0F0, + 0x5555AAAA5555AAAA, + 0xCC3333CCCC3333CC, + 0xC33CC33CC33CC33C, + 0x55555555AAAAAAAA, + 0x33333333CCCCCCCC, + 0x00FF00FFFF00FF00, + 0xF0F0F0F0F0F0F0F0, + 0x0000000000000000, + 0x0000FFFFFFFF0000, + 0xF0F00F0F0F0FF0F0, + }, + { + 0x3C3C3C3C3C3C3C3C, + 0x0F0F0F0F0F0F0F0F, + 0xAAAA5555AAAA5555, + 0xCC3333CCCC3333CC, + 0xC33CC33CC33CC33C, + 0x55555555AAAAAAAA, + 0x33333333CCCCCCCC, + 0xFF00FF0000FF00FF, + 0x0F0F0F0F0F0F0F0F, + 0x0000000000000000, + 0x0000FFFFFFFF0000, + 0xF0F00F0F0F0FF0F0, + }, + // 256 + { + 0xAA55AA5555AA55AA, + 0xCC33CC3333CC33CC, + 0x33CCCC33CC3333CC, + 0x55555555AAAAAAAA, + 0xFF0000FF00FFFF00, + 0x3CC33CC3C33CC33C, + 0x5555AAAA5555AAAA, + 0x0FF00FF00FF00FF0, + 0xCCCC33333333CCCC, + 0xF0F0F0F0F0F0F0F0, + 0x00FFFF0000FFFF00, + 0xC33CC33CC33CC33C, + }, + { + 0x55AA55AAAA55AA55, + 0xCC33CC3333CC33CC, + 0xCC3333CC33CCCC33, + 0x55555555AAAAAAAA, + 0xFF0000FF00FFFF00, + 0xC33CC33C3CC33CC3, + 0xAAAA5555AAAA5555, + 0xF00FF00FF00FF00F, + 0x3333CCCCCCCC3333, + 0x0F0F0F0F0F0F0F0F, + 0xFF0000FFFF0000FF, + 0xC33CC33CC33CC33C, + }, + { + 0xAA55AA5555AA55AA, + 0x33CC33CCCC33CC33, + 0xCC3333CC33CCCC33, + 0x55555555AAAAAAAA, + 0x00FFFF00FF0000FF, + 0x3CC33CC3C33CC33C, + 0x5555AAAA5555AAAA, + 0x0FF00FF00FF00FF0, + 0x3333CCCCCCCC3333, + 0xF0F0F0F0F0F0F0F0, + 0x00FFFF0000FFFF00, + 0xC33CC33CC33CC33C, + }, + { + 0x55AA55AAAA55AA55, + 0x33CC33CCCC33CC33, + 0x33CCCC33CC3333CC, + 0x55555555AAAAAAAA, + 0x00FFFF00FF0000FF, + 0xC33CC33C3CC33CC3, + 0xAAAA5555AAAA5555, + 0xF00FF00FF00FF00F, + 0xCCCC33333333CCCC, + 0x0F0F0F0F0F0F0F0F, + 0xFF0000FFFF0000FF, + 0xC33CC33CC33CC33C, + }, + // 512 + { + 0x6699669999669966, + 0x33CCCC33CC3333CC, + 0xA5A5A5A55A5A5A5A, + 0x3C3CC3C3C3C33C3C, + 0xF00FF00F0FF00FF0, + 0x55AA55AA55AA55AA, + 0x3C3CC3C3C3C33C3C, + 0x0F0F0F0FF0F0F0F0, + 0x55AA55AA55AA55AA, + 0x33CCCC33CC3333CC, + 0xF0F0F0F0F0F0F0F0, + 0xA55A5AA55AA5A55A, + }, + { + 0x9966996666996699, + 0x33CCCC33CC3333CC, + 0xA5A5A5A55A5A5A5A, + 0x3C3CC3C3C3C33C3C, + 0x0FF00FF0F00FF00F, + 0xAA55AA55AA55AA55, + 0x3C3CC3C3C3C33C3C, + 0xF0F0F0F00F0F0F0F, + 0xAA55AA55AA55AA55, + 0xCC3333CC33CCCC33, + 0x0F0F0F0F0F0F0F0F, + 0xA55A5AA55AA5A55A, + }, + { + 0x6699669999669966, + 0x33CCCC33CC3333CC, + 0x5A5A5A5AA5A5A5A5, + 0xC3C33C3C3C3CC3C3, + 0x0FF00FF0F00FF00F, + 0xAA55AA55AA55AA55, + 0xC3C33C3C3C3CC3C3, + 0x0F0F0F0FF0F0F0F0, + 0xAA55AA55AA55AA55, + 0x33CCCC33CC3333CC, + 0xF0F0F0F0F0F0F0F0, + 0xA55A5AA55AA5A55A, + }, + { + 0x9966996666996699, + 0x33CCCC33CC3333CC, + 0x5A5A5A5AA5A5A5A5, + 0xC3C33C3C3C3CC3C3, + 0xF00FF00F0FF00FF0, + 0x55AA55AA55AA55AA, + 0xC3C33C3C3C3CC3C3, + 0xF0F0F0F00F0F0F0F, + 0x55AA55AA55AA55AA, + 0xCC3333CC33CCCC33, + 0x0F0F0F0F0F0F0F0F, + 0xA55A5AA55AA5A55A, + }, + { + 0x6699669999669966, + 0xCC3333CC33CCCC33, + 0x5A5A5A5AA5A5A5A5, + 0x3C3CC3C3C3C33C3C, + 0x0FF00FF0F00FF00F, + 0x55AA55AA55AA55AA, + 0x3C3CC3C3C3C33C3C, + 0x0F0F0F0FF0F0F0F0, + 0x55AA55AA55AA55AA, + 0x33CCCC33CC3333CC, + 0xF0F0F0F0F0F0F0F0, + 0xA55A5AA55AA5A55A, + }, + { + 0x9966996666996699, + 0xCC3333CC33CCCC33, + 0x5A5A5A5AA5A5A5A5, + 0x3C3CC3C3C3C33C3C, + 0xF00FF00F0FF00FF0, + 0xAA55AA55AA55AA55, + 0x3C3CC3C3C3C33C3C, + 0xF0F0F0F00F0F0F0F, + 0xAA55AA55AA55AA55, + 0xCC3333CC33CCCC33, + 0x0F0F0F0F0F0F0F0F, + 0xA55A5AA55AA5A55A, + }, + { + 0x6699669999669966, + 0xCC3333CC33CCCC33, + 0xA5A5A5A55A5A5A5A, + 0xC3C33C3C3C3CC3C3, + 0xF00FF00F0FF00FF0, + 0xAA55AA55AA55AA55, + 0xC3C33C3C3C3CC3C3, + 0x0F0F0F0FF0F0F0F0, + 0xAA55AA55AA55AA55, + 0x33CCCC33CC3333CC, + 0xF0F0F0F0F0F0F0F0, + 0xA55A5AA55AA5A55A, + }, + { + 0x9966996666996699, + 0xCC3333CC33CCCC33, + 0xA5A5A5A55A5A5A5A, + 0xC3C33C3C3C3CC3C3, + 0x0FF00FF0F00FF00F, + 0x55AA55AA55AA55AA, + 0xC3C33C3C3C3CC3C3, + 0xF0F0F0F00F0F0F0F, + 0x55AA55AA55AA55AA, + 0xCC3333CC33CCCC33, + 0x0F0F0F0F0F0F0F0F, + 0xA55A5AA55AA5A55A, + }, + // 1024 + { + 0x9669699696696996, + 0x6996699669966996, + 0x6996699669966996, + 0x00FFFF0000FFFF00, + 0xFF00FF00FF00FF00, + 0xF00FF00F0FF00FF0, + 0xF0F00F0F0F0FF0F0, + 0xC33C3CC33CC3C33C, + 0xC33C3CC33CC3C33C, + 0xA55A5AA55AA5A55A, + 0xC33C3CC33CC3C33C, + 0x3CC3C33C3CC3C33C, + }, + { + 0x9669699696696996, + 0x6996699669966996, + 0x6996699669966996, + 0x00FFFF0000FFFF00, + 0x00FF00FF00FF00FF, + 0x0FF00FF0F00FF00F, + 0x0F0FF0F0F0F00F0F, + 0x3CC3C33CC33C3CC3, + 0x3CC3C33CC33C3CC3, + 0xA55A5AA55AA5A55A, + 0xC33C3CC33CC3C33C, + 0x3CC3C33C3CC3C33C, + }, + { + 0x9669699696696996, + 0x6996699669966996, + 0x6996699669966996, + 0xFF0000FFFF0000FF, + 0x00FF00FF00FF00FF, + 0x0FF00FF0F00FF00F, + 0x0F0FF0F0F0F00F0F, + 0xC33C3CC33CC3C33C, + 0xC33C3CC33CC3C33C, + 0xA55A5AA55AA5A55A, + 0xC33C3CC33CC3C33C, + 0x3CC3C33C3CC3C33C, + }, + { + 0x9669699696696996, + 0x6996699669966996, + 0x6996699669966996, + 0xFF0000FFFF0000FF, + 0xFF00FF00FF00FF00, + 0xF00FF00F0FF00FF0, + 0xF0F00F0F0F0FF0F0, + 0x3CC3C33CC33C3CC3, + 0x3CC3C33CC33C3CC3, + 0xA55A5AA55AA5A55A, + 0xC33C3CC33CC3C33C, + 0x3CC3C33C3CC3C33C, + }, + { + 0x9669699696696996, + 0x6996699669966996, + 0x9669966996699669, + 0xFF0000FFFF0000FF, + 0x00FF00FF00FF00FF, + 0xF00FF00F0FF00FF0, + 0xF0F00F0F0F0FF0F0, + 0xC33C3CC33CC3C33C, + 0xC33C3CC33CC3C33C, + 0xA55A5AA55AA5A55A, + 0xC33C3CC33CC3C33C, + 0x3CC3C33C3CC3C33C, + }, + { + 0x9669699696696996, + 0x6996699669966996, + 0x9669966996699669, + 0xFF0000FFFF0000FF, + 0xFF00FF00FF00FF00, + 0x0FF00FF0F00FF00F, + 0x0F0FF0F0F0F00F0F, + 0x3CC3C33CC33C3CC3, + 0x3CC3C33CC33C3CC3, + 0xA55A5AA55AA5A55A, + 0xC33C3CC33CC3C33C, + 0x3CC3C33C3CC3C33C, + }, + { + 0x9669699696696996, + 0x6996699669966996, + 0x9669966996699669, + 0x00FFFF0000FFFF00, + 0xFF00FF00FF00FF00, + 0x0FF00FF0F00FF00F, + 0x0F0FF0F0F0F00F0F, + 0xC33C3CC33CC3C33C, + 0xC33C3CC33CC3C33C, + 0xA55A5AA55AA5A55A, + 0xC33C3CC33CC3C33C, + 0x3CC3C33C3CC3C33C, + }, + { + 0x9669699696696996, + 0x6996699669966996, + 0x9669966996699669, + 0x00FFFF0000FFFF00, + 0x00FF00FF00FF00FF, + 0xF00FF00F0FF00FF0, + 0xF0F00F0F0F0FF0F0, + 0x3CC3C33CC33C3CC3, + 0x3CC3C33CC33C3CC3, + 0xA55A5AA55AA5A55A, + 0xC33C3CC33CC3C33C, + 0x3CC3C33C3CC3C33C, + }, + { + 0x9669699696696996, + 0x9669966996699669, + 0x9669966996699669, + 0x00FFFF0000FFFF00, + 0xFF00FF00FF00FF00, + 0xF00FF00F0FF00FF0, + 0xF0F00F0F0F0FF0F0, + 0xC33C3CC33CC3C33C, + 0xC33C3CC33CC3C33C, + 0xA55A5AA55AA5A55A, + 0xC33C3CC33CC3C33C, + 0x3CC3C33C3CC3C33C, + }, + { + 0x9669699696696996, + 0x9669966996699669, + 0x9669966996699669, + 0x00FFFF0000FFFF00, + 0x00FF00FF00FF00FF, + 0x0FF00FF0F00FF00F, + 0x0F0FF0F0F0F00F0F, + 0x3CC3C33CC33C3CC3, + 0x3CC3C33CC33C3CC3, + 0xA55A5AA55AA5A55A, + 0xC33C3CC33CC3C33C, + 0x3CC3C33C3CC3C33C, + }, + { + 0x9669699696696996, + 0x9669966996699669, + 0x9669966996699669, + 0xFF0000FFFF0000FF, + 0x00FF00FF00FF00FF, + 0x0FF00FF0F00FF00F, + 0x0F0FF0F0F0F00F0F, + 0xC33C3CC33CC3C33C, + 0xC33C3CC33CC3C33C, + 0xA55A5AA55AA5A55A, + 0xC33C3CC33CC3C33C, + 0x3CC3C33C3CC3C33C, + }, + { + 0x9669699696696996, + 0x9669966996699669, + 0x9669966996699669, + 0xFF0000FFFF0000FF, + 0xFF00FF00FF00FF00, + 0xF00FF00F0FF00FF0, + 0xF0F00F0F0F0FF0F0, + 0x3CC3C33CC33C3CC3, + 0x3CC3C33CC33C3CC3, + 0xA55A5AA55AA5A55A, + 0xC33C3CC33CC3C33C, + 0x3CC3C33C3CC3C33C, + }, + { + 0x9669699696696996, + 0x9669966996699669, + 0x6996699669966996, + 0xFF0000FFFF0000FF, + 0x00FF00FF00FF00FF, + 0xF00FF00F0FF00FF0, + 0xF0F00F0F0F0FF0F0, + 0xC33C3CC33CC3C33C, + 0xC33C3CC33CC3C33C, + 0xA55A5AA55AA5A55A, + 0xC33C3CC33CC3C33C, + 0x3CC3C33C3CC3C33C, + }, + { + 0x9669699696696996, + 0x9669966996699669, + 0x6996699669966996, + 0xFF0000FFFF0000FF, + 0xFF00FF00FF00FF00, + 0x0FF00FF0F00FF00F, + 0x0F0FF0F0F0F00F0F, + 0x3CC3C33CC33C3CC3, + 0x3CC3C33CC33C3CC3, + 0xA55A5AA55AA5A55A, + 0xC33C3CC33CC3C33C, + 0x3CC3C33C3CC3C33C, + }, + { + 0x9669699696696996, + 0x9669966996699669, + 0x6996699669966996, + 0x00FFFF0000FFFF00, + 0xFF00FF00FF00FF00, + 0x0FF00FF0F00FF00F, + 0x0F0FF0F0F0F00F0F, + 0xC33C3CC33CC3C33C, + 0xC33C3CC33CC3C33C, + 0xA55A5AA55AA5A55A, + 0xC33C3CC33CC3C33C, + 0x3CC3C33C3CC3C33C, + }, + { + 0x9669699696696996, + 0x9669966996699669, + 0x6996699669966996, + 0x00FFFF0000FFFF00, + 0x00FF00FF00FF00FF, + 0xF00FF00F0FF00FF0, + 0xF0F00F0F0F0FF0F0, + 0x3CC3C33CC33C3CC3, + 0x3CC3C33CC33C3CC3, + 0xA55A5AA55AA5A55A, + 0xC33C3CC33CC3C33C, + 0x3CC3C33C3CC3C33C, + }, + // 2048 + { + 0x0000000000000000, + 0x0000000000000000, + 0x0000000000000000, + 0x0000000000000000, + 0x0000000000000000, + 0x0000000000000000, + 0xFFFFFFFF00000000, + 0xFFFF0000FFFF0000, + 0xFF00FF00FF00FF00, + 0xF0F0F0F0F0F0F0F0, + 0xCCCCCCCCCCCCCCCC, + 0xAAAAAAAAAAAAAAAA, + }, + { + 0x0000000000000000, + 0x0000000000000000, + 0x0000000000000000, + 0x0000000000000000, + 0x0000000000000000, + 0xFFFFFFFFFFFFFFFF, + 0xFFFFFFFF00000000, + 0xFFFF0000FFFF0000, + 0xFF00FF00FF00FF00, + 0xF0F0F0F0F0F0F0F0, + 0xCCCCCCCCCCCCCCCC, + 0xAAAAAAAAAAAAAAAA, + }, + { + 0x0000000000000000, + 0x0000000000000000, + 0x0000000000000000, + 0x0000000000000000, + 0xFFFFFFFFFFFFFFFF, + 0x0000000000000000, + 0xFFFFFFFF00000000, + 0xFFFF0000FFFF0000, + 0xFF00FF00FF00FF00, + 0xF0F0F0F0F0F0F0F0, + 0xCCCCCCCCCCCCCCCC, + 0xAAAAAAAAAAAAAAAA, + }, + { + 0x0000000000000000, + 0x0000000000000000, + 0x0000000000000000, + 0x0000000000000000, + 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000000000..b72548641 --- /dev/null +++ b/kem/mceliece/internal/powers.go @@ -0,0 +1,2828 @@ +package internal + +import ( + "github.com/cloudflare/circl/math/gf4096" + "github.com/cloudflare/circl/math/gf8192" +) + +var Powers4096 = [64][gf4096.GfBits]uint64{ + { + 0x0F0F0F0FF0F0F0F0, + 0xFFFF0000FFFF0000, + 0x0000000000000000, + 0xF0F0F0F0F0F0F0F0, + 0x0000000000000000, + 0x55AA55AA55AA55AA, + 0x0F0F0F0FF0F0F0F0, + 0x0000000000000000, + 0xFF00FF00FF00FF00, + 0xF0F0F0F0F0F0F0F0, + 0x3333CCCC3333CCCC, + 0xAAAAAAAAAAAAAAAA, + }, + { + 0x0F0F0F0FF0F0F0F0, + 0xFFFF0000FFFF0000, + 0x0000000000000000, + 0xF0F0F0F0F0F0F0F0, + 0x0000000000000000, + 0xAA55AA55AA55AA55, + 0x0F0F0F0FF0F0F0F0, + 0x0000000000000000, + 0xFF00FF00FF00FF00, + 0xF0F0F0F0F0F0F0F0, + 0x3333CCCC3333CCCC, + 0xAAAAAAAAAAAAAAAA, + }, + { + 0x0F0F0F0FF0F0F0F0, + 0x0000FFFF0000FFFF, + 0x0000000000000000, + 0xF0F0F0F0F0F0F0F0, + 0xFFFFFFFFFFFFFFFF, + 0x55AA55AA55AA55AA, + 0x0F0F0F0FF0F0F0F0, + 0xFFFFFFFFFFFFFFFF, + 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0x6969696996969696, + 0x5A5A5A5A5A5A5A5A, + 0xA5A5A5A55A5A5A5A, + 0x5555AAAAAAAA5555, + 0xF00FF00FF00FF00F, + 0x0F0FF0F00F0FF0F0, + }, + { + 0xA55AA55A5AA55AA5, + 0x3CC33CC3C33CC33C, + 0xA5A55A5AA5A55A5A, + 0x0000FFFF0000FFFF, + 0x33CC33CC33CC33CC, + 0x0FF00FF0F00FF00F, + 0xFFFFFFFF00000000, + 0x6969696996969696, + 0x5A5A5A5A5A5A5A5A, + 0xA5A5A5A55A5A5A5A, + 0xAAAA55555555AAAA, + 0x0FF00FF00FF00FF0, + 0xF0F00F0FF0F00F0F, + }, + { + 0x5AA55AA5A55AA55A, + 0x3CC33CC3C33CC33C, + 0xA5A55A5AA5A55A5A, + 0x0000FFFF0000FFFF, + 0x33CC33CC33CC33CC, + 0xF00FF00F0FF00FF0, + 0xFFFFFFFF00000000, + 0x6969696996969696, + 0xA5A5A5A5A5A5A5A5, + 0x5A5A5A5AA5A5A5A5, + 0x5555AAAAAAAA5555, + 0xF00FF00FF00FF00F, + 0xF0F00F0FF0F00F0F, + }, + { + 0x5AA55AA5A55AA55A, + 0xC33CC33C3CC33CC3, + 0xA5A55A5AA5A55A5A, + 0xFFFF0000FFFF0000, + 0x33CC33CC33CC33CC, + 0x0FF00FF0F00FF00F, + 0xFFFFFFFF00000000, + 0x6969696996969696, + 0xA5A5A5A5A5A5A5A5, + 0x5A5A5A5AA5A5A5A5, + 0xAAAA55555555AAAA, + 0x0FF00FF00FF00FF0, + 0x0F0FF0F00F0FF0F0, + }, +} diff --git a/kem/mceliece/mceliece348864/fft.go b/kem/mceliece/mceliece348864/fft.go new file mode 100644 index 000000000..d9766e4e1 --- /dev/null +++ b/kem/mceliece/mceliece348864/fft.go @@ -0,0 +1,60 @@ +package mceliece348864 + +import "github.com/cloudflare/circl/kem/mceliece/internal" + +func fft(out [][gfBits]uint64, in []uint64) { + radixConversions(in) + butterflies(out, in) +} + +func radixConversions(in []uint64) { + for j := 0; j <= 4; j++ { + for i := 0; i < gfBits; i++ { + for k := 4; k >= j; k-- { + in[i] ^= (in[i] & internal.RadixConversionsMask[k][0]) >> (1 << k) + in[i] ^= (in[i] & internal.RadixConversionsMask[k][1]) >> (1 << k) + } + } + + vecMul(in, in, internal.RadixConversionsS4096[j][:]) // scaling + } +} + +func butterflies(out [][gfBits]uint64, in []uint64) { + tmp := [gfBits]uint64{} + var constsPtr int + // broadcast + for j := 0; j < 64; j++ { + for i := 0; i < gfBits; i++ { + out[j][i] = (in[i] >> internal.ButterfliesReversal4096[j]) & 1 + out[j][i] = -out[j][i] + } + } + + // butterflies + for i := 0; i <= 5; i++ { + s := 1 << i + + for j := 0; j < 64; j += 2 * s { + for k := j; k < j+s; k++ { + vecMul(tmp[:], out[k+s][:], internal.ButterfliesConsts4096[constsPtr+(k-j)][:]) + + for b := 0; b < gfBits; b++ { + out[k][b] ^= tmp[b] + } + for b := 0; b < gfBits; b++ { + out[k+s][b] ^= out[k][b] + } + } + } + + constsPtr += 1 << i + } + + // adding the part contributed by x^64 + for i := 0; i < 64; i++ { + for b := 0; b < gfBits; b++ { + out[i][b] ^= internal.Powers4096[i][b] + } + } +} diff --git a/kem/mceliece/mceliece348864/pk_gen.go b/kem/mceliece/mceliece348864/pk_gen.go index 99e0bda0b..dc72a528c 100644 --- a/kem/mceliece/mceliece348864/pk_gen.go +++ b/kem/mceliece/mceliece348864/pk_gen.go @@ -1,13 +1,73 @@ -// Code generated from pk_gen.templ.go. DO NOT EDIT. +// Code generated from pk_gen_vec.templ.go. DO NOT EDIT. package mceliece348864 import ( "github.com/cloudflare/circl/kem/mceliece/internal" - "github.com/cloudflare/circl/math/gf4096" ) -// TODO: Optimize the Gaussian Elimination loop, possibly by porting the `vec` Reference Implementation? +const exponent = 64 + +func storeI(out []byte, in uint64, i int) { + for j := 0; j < i; j++ { + out[j] = byte((in >> (j * 8)) & 0xFF) + } +} + +func deBitSlicing(out []uint64, in [][gfBits]uint64) { + for i := 0; i < (1 << gfBits); i++ { + out[i] = 0 + } + + for i := 0; i < exponent; i++ { + for j := gfBits - 1; j >= 0; j-- { + for r := 0; r < 64; r++ { + out[i*64+r] <<= 1 + out[i*64+r] |= (in[i][j] >> r) & 1 + } + } + } +} + +func toBitslicing2x(out0 [][gfBits]uint64, out1 [][gfBits]uint64, in []uint64) { + for i := 0; i < exponent; i++ { + for j := gfBits - 1; j >= 0; j-- { + for r := 63; r >= 0; r-- { + out1[i][j] <<= 1 + out1[i][j] |= (in[i*64+r] >> (j + gfBits)) & 1 + } + } + + for j := gfBits - 1; j >= 0; j-- { + for r := 63; r >= 0; r-- { + out0[i][gfBits-1-j] <<= 1 + out0[i][gfBits-1-j] |= (in[i*64+r] >> j) & 1 + } + } + } +} + +func irrLoad(out []uint64, in []byte) { + irr := [sysT + 1]uint16{} + + for i := 0; i < sysT; i++ { + irr[i] = loadGf(in[i*2:]) + } + + irr[sysT] = 1 + + for i := 0; i < gfBits; i++ { + out[i] = 0 + } + + for i := sysT; i >= 0; i-- { + for j := 0; j < gfBits; j++ { + out[j] <<= 1 + out[j] |= uint64(irr[i]>>j) & 1 + } + } +} + // nolint:unparam // Public key generation. Generate the public key `pk`, // permutation `pi` and pivot element `pivots` based on the @@ -15,117 +75,177 @@ import ( // `pk` has `max(1 << GFBITS, SYS_N)` elements which is // 4096 for mceliece348864 and 8192 for mceliece8192128. // `sk` has `2 * SYS_T` elements and perm `1 << GFBITS`. -func pkGen(pk *[pkNRows * pkRowBytes]byte, sk []byte, perm *[1 << gfBits]uint32, pi *[1 << gfBits]int16, pivots *uint64) bool { - buf := [1 << gfBits]uint64{} - mat := [pkNRows][sysN / 8]byte{} - g := [sysT + 1]gf{} - L := [sysN]gf{} - inv := [sysN]gf{} - - g[sysT] = 1 - for i := 0; i < sysT; i++ { - g[i] = loadGf(sk) - sk = sk[2:] +func pkGen(pk *[pkNRows * pkRowBytes]byte, irr []byte, perm *[1 << gfBits]uint32, pi *[1 << gfBits]int16, pivots *uint64) bool { + const ( + nblocksH = (sysN + 63) / 64 + nblocksI = (pkNRows + 63) / 64 + + blockIdx = nblocksI + ) + mat := [pkNRows][nblocksH]uint64{} + ops := [pkNRows][nblocksI]uint64{} + var mask uint64 + + irrInt := [gfBits]uint64{} + + consts := [exponent][gfBits]uint64{} + eval := [exponent][gfBits]uint64{} + prod := [exponent][gfBits]uint64{} + tmp := [gfBits]uint64{} + list := [1 << gfBits]uint64{} + + oneRow := [exponent]uint64{} + + // compute the inverses + irrLoad(irrInt[:], irr) + fft(eval[:], irrInt[:]) + vecCopy(prod[0][:], eval[0][:]) + for i := 1; i < exponent; i++ { + vecMul(prod[i][:], prod[i-1][:], eval[i][:]) } - - for i := 0; i < 1<= 0; i-- { + vecMul(prod[i+1][:], prod[i][:], tmp[:]) + vecMul(tmp[:], tmp[:], eval[i+1][:]) } - - internal.UInt64Sort(buf[:], 1<> 31) == (buf[i] >> 31) { + if (list[i-1] >> 31) == (list[i] >> 31) { return false } } + toBitslicing2x(consts[:], prod[:], list[:]) for i := 0; i < (1 << gfBits); i++ { - pi[i] = int16(buf[i] & gfMask) + pi[i] = int16(list[i] & gfMask) } - for i := 0; i < sysN; i++ { - L[i] = bitRev(gf(pi[i])) - } - - // filling the matrix - root(&inv, &g, &L) - - for i := 0; i < sysN; i++ { - inv[i] = gf4096.Inv(inv[i]) + for j := 0; j < nblocksI; j++ { + for k := 0; k < gfBits; k++ { + mat[k][j] = prod[j][k] + } } - for i := 0; i < sysT; i++ { - for j := 0; j < sysN; j += 8 { + for i := 1; i < sysT; i++ { + for j := 0; j < nblocksI; j++ { + vecMul(prod[j][:], prod[j][:], consts[j][:]) for k := 0; k < gfBits; k++ { - b := byte(inv[j+7]>>k) & 1 - b <<= 1 - b |= byte(inv[j+6]>>k) & 1 - b <<= 1 - b |= byte(inv[j+5]>>k) & 1 - b <<= 1 - b |= byte(inv[j+4]>>k) & 1 - b <<= 1 - b |= byte(inv[j+3]>>k) & 1 - b <<= 1 - b |= byte(inv[j+2]>>k) & 1 - b <<= 1 - b |= byte(inv[j+1]>>k) & 1 - b <<= 1 - b |= byte(inv[j+0]>>k) & 1 - - mat[i*gfBits+k][j/8] = b + mat[i*gfBits+k][j] = prod[j][k] } } + } + + // gaussian elimination to obtain an upper triangular matrix + // and keep track of the operations in ops - for j := 0; j < sysN; j++ { - inv[j] = gf4096.Mul(inv[j], L[j]) + for i := 0; i < pkNRows; i++ { + for j := 0; j < nblocksI; j++ { + ops[i][j] = 0 } } + for i := 0; i < pkNRows; i++ { + ops[i][i/64] = 1 + ops[i][i/64] <<= (i % 64) + } + + for row := 0; row < pkNRows; row++ { + i := row >> 6 + j := row & 63 - // gaussian elimination - for i := 0; i < (pkNRows+7)/8; i++ { - for j := 0; j < 8; j++ { - row := i*8 + j + for k := row + 1; k < pkNRows; k++ { + mask = mat[row][i] >> j + mask &= 1 + mask -= 1 - if row >= pkNRows { - break + for c := 0; c < nblocksI; c++ { + mat[row][c] ^= mat[k][c] & mask + ops[row][c] ^= ops[k][c] & mask } + } + // return if not systematic + if ((mat[row][i] >> j) & 1) == 0 { + return false + } - for k := row + 1; k < pkNRows; k++ { - mask := mat[row][i] ^ mat[k][i] - mask >>= j - mask &= 1 - mask = -mask + for k := row + 1; k < pkNRows; k++ { + mask = mat[k][i] >> j + mask &= 1 + mask = -mask - for c := 0; c < sysN/8; c++ { - mat[row][c] ^= mat[k][c] & mask - } + for c := 0; c < nblocksI; c++ { + mat[k][c] ^= mat[row][c] & mask + ops[k][c] ^= ops[row][c] & mask } + } + } + + // computing the lineaer map required to obatin the systematic form + + for row := pkNRows - 1; row >= 0; row-- { + for k := 0; k < row; k++ { + mask = mat[k][row/64] >> (row & 63) + mask &= 1 + mask = -mask - // return if not systematic - if ((mat[row][i] >> j) & 1) == 0 { - return false + for c := 0; c < nblocksI; c++ { + ops[k][c] ^= ops[row][c] & mask } + } + } - for k := 0; k < pkNRows; k++ { - if k != row { - mask := mat[k][i] >> j - mask &= 1 - mask = -mask + // apply the linear map to the non-systematic part + for j := nblocksI; j < nblocksH; j++ { + for k := 0; k < gfBits; k++ { + mat[k][j] = prod[j][k] + } + } - for c := 0; c < sysN/8; c++ { - mat[k][c] ^= mat[row][c] & mask - } - } + for i := 1; i < sysT; i++ { + for j := nblocksI; j < nblocksH; j++ { + vecMul(prod[j][:], prod[j][:], consts[j][:]) + for k := 0; k < gfBits; k++ { + mat[i*gfBits+k][j] = prod[j][k] } } } - for i := 0; i < pkNRows; i++ { - copy(pk[i*pkRowBytes:], mat[i][pkNRows/8:pkNRows/8+pkRowBytes]) + pkp := pk[:] + + for row := 0; row < pkNRows; row++ { + for k := 0; k < nblocksH; k++ { + oneRow[k] = 0 + } + + for c := 0; c < pkNRows; c++ { + mask = ops[row][c>>6] >> (c & 63) + mask &= 1 + mask = -mask + + for k := blockIdx; k < nblocksH; k++ { + oneRow[k] ^= mat[c][k] & mask + } + } + + var k int + for k = blockIdx; k < nblocksH-1; k++ { + + store8(pkp, oneRow[k]) + pkp = pkp[8:] + } + + storeI(pkp, oneRow[k], pkRowBytes%8) + + pkp = pkp[pkRowBytes%8:] } return true diff --git a/kem/mceliece/mceliece348864/vec.go b/kem/mceliece/mceliece348864/vec.go new file mode 100644 index 000000000..f3f8033a8 --- /dev/null +++ b/kem/mceliece/mceliece348864/vec.go @@ -0,0 +1,119 @@ +// Code generated from vec.templ.go. DO NOT EDIT. + +package mceliece348864 + +func vecMul(h, f, g []uint64) { + buf := [2*gfBits - 1]uint64{} + + for i := 0; i < 2*gfBits-1; i++ { + buf[i] = 0 + } + + for i := 0; i < gfBits; i++ { + for j := 0; j < gfBits; j++ { + buf[i+j] ^= f[i] & g[j] + } + } + + for i := 2*gfBits - 2; i >= gfBits; i-- { + + buf[i-gfBits+3] ^= buf[i] + buf[i-gfBits+0] ^= buf[i] + + } + + for i := 0; i < gfBits; i++ { + h[i] = buf[i] + } +} + +/* bitsliced field squarings */ +func vecSq(out, in []uint64) { + result := [gfBits]uint64{} + + result[0] = in[0] ^ in[6] + result[1] = in[11] + result[2] = in[1] ^ in[7] + result[3] = in[6] + result[4] = in[2] ^ in[11] ^ in[8] + result[5] = in[7] + result[6] = in[3] ^ in[9] + result[7] = in[8] + result[8] = in[4] ^ in[10] + result[9] = in[9] + result[10] = in[5] ^ in[11] + result[11] = in[10] + + for i := 0; i < gfBits; i++ { + out[i] = result[i] + } +} + +/* bitsliced field inverses */ +func vecInv(out, in []uint64) { + tmp11 := [gfBits]uint64{} + tmp1111 := [gfBits]uint64{} + + vecCopy(out, in) + + vecSq(out, out) + vecMul(tmp11[:], out, in) // ^11 + + vecSq(out, tmp11[:]) + vecSq(out, out) + vecMul(tmp1111[:], out, tmp11[:]) // ^1111 + + vecSq(out, tmp1111[:]) + vecSq(out, out) + vecSq(out, out) + vecSq(out, out) + vecMul(out, out, tmp1111[:]) // ^11111111 + + vecSq(out, out) + vecSq(out, out) + vecMul(out, out, tmp11[:]) // 1111111111 + + vecSq(out, out) + vecMul(out, out, in) // 11111111111 + + vecSq(out, out) // 111111111110 +} + +func vecSetBits(b uint64) uint64 { + ret := -b + return ret +} + +func vecSet116b(v uint16) uint64 { + ret := uint64(v) + ret |= ret << 16 + ret |= ret << 32 + + return ret +} + +func vecCopy(out, in []uint64) { + for i := 0; i < gfBits; i++ { + out[i] = in[i] + } +} + +func vecOrReduce(a []uint64) uint64 { + ret := a[0] + for i := 1; i < gfBits; i++ { + ret |= a[i] + } + + return ret +} + +func vecTestZ(a uint64) int { + a |= a >> 32 + a |= a >> 16 + a |= a >> 8 + a |= a >> 4 + a |= a >> 2 + a |= a >> 1 + + return int((a & 1) ^ 1) +} diff --git a/kem/mceliece/mceliece460896/fft.go b/kem/mceliece/mceliece460896/fft.go new file mode 100644 index 000000000..df98eddd6 --- /dev/null +++ b/kem/mceliece/mceliece460896/fft.go @@ -0,0 +1,205 @@ +// Code generated from fft_other.templ.go. DO NOT EDIT. + +package mceliece460896 + +import "github.com/cloudflare/circl/kem/mceliece/internal" + +func fft(out [][gfBits]uint64, in [][gfBits]uint64) { + radixConversions(in) + butterflies(out, in) +} + +func radixConversions(in [][gfBits]uint64) { + for j := 0; j <= 5; j++ { + for i := 0; i < gfBits; i++ { + in[1][i] ^= in[1][i] >> 32 + in[0][i] ^= in[1][i] << 32 + } + + for i := 0; i < gfBits; i++ { + for k := 4; k >= j; k-- { + in[0][i] ^= (in[0][i] & internal.RadixConversionsMask[k][0]) >> (1 << k) + in[0][i] ^= (in[0][i] & internal.RadixConversionsMask[k][1]) >> (1 << k) + in[1][i] ^= (in[1][i] & internal.RadixConversionsMask[k][0]) >> (1 << k) + in[1][i] ^= (in[1][i] & internal.RadixConversionsMask[k][1]) >> (1 << k) + } + } + + if j < 5 { + vecMul(in[0][:], in[0][:], internal.RadixConversionsS[j][0][:]) + vecMul(in[1][:], in[1][:], internal.RadixConversionsS[j][1][:]) + } + } +} + +func butterflies(out [][gfBits]uint64, in [][gfBits]uint64) { + tmp := [gfBits]uint64{} + pre := [8][gfBits]uint64{} + buf := [128]uint64{} + constsPtr := 2 + for i := 0; i < 7; i++ { + for j := 0; j < gfBits; j++ { + pre[i][j] = uint64(internal.ButterfliesBeta[i]>>j) & 1 + pre[i][j] = -pre[i][j] + } + + vecMul(pre[i][:], in[1][:], pre[i][:]) + } + for i := 0; i < gfBits; i++ { + buf[0] = in[0][i] + + buf[1] = buf[0] ^ pre[0][i] + buf[32] = in[0][i] ^ pre[5][i] + buf[3] = buf[1] ^ pre[1][i] + buf[96] = buf[32] ^ pre[6][i] + buf[97] = buf[96] ^ pre[0][i] + buf[2] = in[0][i] ^ pre[1][i] + buf[99] = buf[97] ^ pre[1][i] + buf[6] = buf[2] ^ pre[2][i] + buf[98] = buf[99] ^ pre[0][i] + buf[7] = buf[6] ^ pre[0][i] + buf[102] = buf[98] ^ pre[2][i] + buf[5] = buf[7] ^ pre[1][i] + buf[103] = buf[102] ^ pre[0][i] + buf[101] = buf[103] ^ pre[1][i] + buf[4] = in[0][i] ^ pre[2][i] + buf[100] = buf[101] ^ pre[0][i] + buf[12] = buf[4] ^ pre[3][i] + buf[108] = buf[100] ^ pre[3][i] + buf[13] = buf[12] ^ pre[0][i] + buf[109] = buf[108] ^ pre[0][i] + buf[15] = buf[13] ^ pre[1][i] + buf[111] = buf[109] ^ pre[1][i] + buf[14] = buf[15] ^ pre[0][i] + buf[110] = buf[111] ^ pre[0][i] + buf[10] = buf[14] ^ pre[2][i] + buf[106] = buf[110] ^ pre[2][i] + buf[11] = buf[10] ^ pre[0][i] + buf[107] = buf[106] ^ pre[0][i] + buf[9] = buf[11] ^ pre[1][i] + buf[105] = buf[107] ^ pre[1][i] + buf[104] = buf[105] ^ pre[0][i] + buf[8] = in[0][i] ^ pre[3][i] + buf[120] = buf[104] ^ pre[4][i] + buf[24] = buf[8] ^ pre[4][i] + buf[121] = buf[120] ^ pre[0][i] + buf[25] = buf[24] ^ pre[0][i] + buf[123] = buf[121] ^ pre[1][i] + buf[27] = buf[25] ^ pre[1][i] + buf[122] = buf[123] ^ pre[0][i] + buf[26] = buf[27] ^ pre[0][i] + buf[126] = buf[122] ^ pre[2][i] + buf[30] = buf[26] ^ pre[2][i] + buf[127] = buf[126] ^ pre[0][i] + buf[31] = buf[30] ^ pre[0][i] + buf[125] = buf[127] ^ pre[1][i] + buf[29] = buf[31] ^ pre[1][i] + buf[124] = buf[125] ^ pre[0][i] + buf[28] = buf[29] ^ pre[0][i] + buf[116] = buf[124] ^ pre[3][i] + buf[20] = buf[28] ^ pre[3][i] + buf[117] = buf[116] ^ pre[0][i] + buf[21] = buf[20] ^ pre[0][i] + buf[119] = buf[117] ^ pre[1][i] + buf[23] = buf[21] ^ pre[1][i] + buf[118] = buf[119] ^ pre[0][i] + buf[22] = buf[23] ^ pre[0][i] + buf[114] = buf[118] ^ pre[2][i] + buf[18] = buf[22] ^ pre[2][i] + buf[115] = buf[114] ^ pre[0][i] + buf[19] = buf[18] ^ pre[0][i] + buf[113] = buf[115] ^ pre[1][i] + buf[17] = buf[19] ^ pre[1][i] + buf[112] = buf[113] ^ pre[0][i] + buf[80] = buf[112] ^ pre[5][i] + buf[16] = in[0][i] ^ pre[4][i] + buf[81] = buf[80] ^ pre[0][i] + buf[48] = buf[16] ^ pre[5][i] + buf[83] = buf[81] ^ pre[1][i] + buf[49] = buf[48] ^ pre[0][i] + buf[82] = buf[83] ^ pre[0][i] + buf[51] = buf[49] ^ pre[1][i] + buf[86] = buf[82] ^ pre[2][i] + buf[50] = buf[51] ^ pre[0][i] + buf[87] = buf[86] ^ pre[0][i] + buf[54] = buf[50] ^ pre[2][i] + buf[85] = buf[87] ^ pre[1][i] + buf[55] = buf[54] ^ pre[0][i] + buf[84] = buf[85] ^ pre[0][i] + buf[53] = buf[55] ^ pre[1][i] + buf[92] = buf[84] ^ pre[3][i] + buf[52] = buf[53] ^ pre[0][i] + buf[93] = buf[92] ^ pre[0][i] + buf[60] = buf[52] ^ pre[3][i] + buf[95] = buf[93] ^ pre[1][i] + buf[61] = buf[60] ^ pre[0][i] + buf[94] = buf[95] ^ pre[0][i] + buf[63] = buf[61] ^ pre[1][i] + buf[90] = buf[94] ^ pre[2][i] + buf[62] = buf[63] ^ pre[0][i] + buf[91] = buf[90] ^ pre[0][i] + buf[58] = buf[62] ^ pre[2][i] + buf[89] = buf[91] ^ pre[1][i] + buf[59] = buf[58] ^ pre[0][i] + buf[88] = buf[89] ^ pre[0][i] + buf[57] = buf[59] ^ pre[1][i] + buf[72] = buf[88] ^ pre[4][i] + buf[56] = buf[57] ^ pre[0][i] + buf[73] = buf[72] ^ pre[0][i] + buf[40] = buf[56] ^ pre[4][i] + buf[75] = buf[73] ^ pre[1][i] + buf[41] = buf[40] ^ pre[0][i] + buf[74] = buf[75] ^ pre[0][i] + buf[43] = buf[41] ^ pre[1][i] + buf[78] = buf[74] ^ pre[2][i] + buf[42] = buf[43] ^ pre[0][i] + buf[79] = buf[78] ^ pre[0][i] + buf[46] = buf[42] ^ pre[2][i] + buf[77] = buf[79] ^ pre[1][i] + buf[47] = buf[46] ^ pre[0][i] + buf[76] = buf[77] ^ pre[0][i] + buf[45] = buf[47] ^ pre[1][i] + buf[68] = buf[76] ^ pre[3][i] + buf[44] = buf[45] ^ pre[0][i] + buf[69] = buf[68] ^ pre[0][i] + buf[36] = buf[44] ^ pre[3][i] + buf[71] = buf[69] ^ pre[1][i] + buf[37] = buf[36] ^ pre[0][i] + buf[70] = buf[71] ^ pre[0][i] + buf[39] = buf[37] ^ pre[1][i] + buf[66] = buf[70] ^ pre[2][i] + buf[38] = buf[39] ^ pre[0][i] + buf[67] = buf[66] ^ pre[0][i] + buf[34] = buf[38] ^ pre[2][i] + buf[65] = buf[67] ^ pre[1][i] + buf[35] = buf[34] ^ pre[0][i] + buf[33] = buf[35] ^ pre[1][i] + buf[64] = in[0][i] ^ pre[6][i] + + transpose64x64((*[64]uint64)(buf[:64]), (*[64]uint64)(buf[:64])) + transpose64x64((*[64]uint64)(buf[64:]), (*[64]uint64)(buf[64:])) + + for j := 0; j < 128; j++ { + out[internal.ButterfliesReversal[j]][i] = buf[j] + } + } + + for i := 1; i <= 6; i++ { + s := 1 << i + + for j := 0; j < 128; j += 2 * s { + for k := j; k < j+s; k++ { + vecMul(tmp[:], out[k+s][:], internal.ButterfliesConst[constsPtr+(k-j)][:]) + + for b := 0; b < gfBits; b++ { + out[k][b] ^= tmp[b] + } + for b := 0; b < gfBits; b++ { + out[k+s][b] ^= out[k][b] + } + } + } + + constsPtr += 1 << i + } +} diff --git a/kem/mceliece/mceliece460896/pk_gen.go b/kem/mceliece/mceliece460896/pk_gen.go index eb91f48b1..d4669b95d 100644 --- a/kem/mceliece/mceliece460896/pk_gen.go +++ b/kem/mceliece/mceliece460896/pk_gen.go @@ -1,13 +1,80 @@ -// Code generated from pk_gen.templ.go. DO NOT EDIT. +// Code generated from pk_gen_vec.templ.go. DO NOT EDIT. package mceliece460896 import ( "github.com/cloudflare/circl/kem/mceliece/internal" - "github.com/cloudflare/circl/math/gf8192" ) -// TODO: Optimize the Gaussian Elimination loop, possibly by porting the `vec` Reference Implementation? +const exponent = 128 + +func storeI(out []byte, in uint64, i int) { + for j := 0; j < i; j++ { + out[j] = byte((in >> (j * 8)) & 0xFF) + } +} + +func deBitSlicing(out []uint64, in [][gfBits]uint64) { + for i := 0; i < (1 << gfBits); i++ { + out[i] = 0 + } + + for i := 0; i < exponent; i++ { + for j := gfBits - 1; j >= 0; j-- { + for r := 0; r < 64; r++ { + out[i*64+r] <<= 1 + out[i*64+r] |= (in[i][j] >> r) & 1 + } + } + } +} + +func toBitslicing2x(out0 [][gfBits]uint64, out1 [][gfBits]uint64, in []uint64) { + for i := 0; i < exponent; i++ { + for j := gfBits - 1; j >= 0; j-- { + for r := 63; r >= 0; r-- { + out1[i][j] <<= 1 + out1[i][j] |= (in[i*64+r] >> (j + gfBits)) & 1 + } + } + + for j := gfBits - 1; j >= 0; j-- { + for r := 63; r >= 0; r-- { + out0[i][gfBits-1-j] <<= 1 + out0[i][gfBits-1-j] |= (in[i*64+r] >> j) & 1 + } + } + } +} + +func irrLoad(out [][gfBits]uint64, in []byte) { + irr := [sysT + 1]uint16{} + + for i := 0; i < sysT; i++ { + irr[i] = loadGf(in[i*2:]) + } + + irr[sysT] = 1 + + v := [2]uint64{} + for i := 0; i < gfBits; i++ { + v[0] = 0 + v[1] = 0 + + for j := 63; j >= 0; j-- { + v[0] <<= 1 + v[0] |= uint64(irr[j]>>i) & 1 + } + for j := sysT; j >= 64; j-- { + v[1] <<= 1 + v[1] |= uint64(irr[j]>>i) & 1 + } + + out[0][i] = v[0] + out[1][i] = v[1] + } +} + // nolint:unparam // Public key generation. Generate the public key `pk`, // permutation `pi` and pivot element `pivots` based on the @@ -15,117 +82,191 @@ import ( // `pk` has `max(1 << GFBITS, SYS_N)` elements which is // 4096 for mceliece348864 and 8192 for mceliece8192128. // `sk` has `2 * SYS_T` elements and perm `1 << GFBITS`. -func pkGen(pk *[pkNRows * pkRowBytes]byte, sk []byte, perm *[1 << gfBits]uint32, pi *[1 << gfBits]int16, pivots *uint64) bool { - buf := [1 << gfBits]uint64{} - mat := [pkNRows][sysN / 8]byte{} - g := [sysT + 1]gf{} - L := [sysN]gf{} - inv := [sysN]gf{} - - g[sysT] = 1 - for i := 0; i < sysT; i++ { - g[i] = loadGf(sk) - sk = sk[2:] - } +func pkGen(pk *[pkNRows * pkRowBytes]byte, irr []byte, perm *[1 << gfBits]uint32, pi *[1 << gfBits]int16, pivots *uint64) bool { + const ( + nblocksH = (sysN + 63) / 64 + nblocksI = (pkNRows + 63) / 64 + + blockIdx = nblocksI - 1 + tail = pkNRows % 64 + ) + mat := [pkNRows][nblocksH]uint64{} + ops := [pkNRows][nblocksI]uint64{} + var mask uint64 + + irrInt := [2][gfBits]uint64{} - for i := 0; i < 1<= 0; i-- { + vecMul(prod[i+1][:], prod[i][:], tmp[:]) + vecMul(tmp[:], tmp[:], eval[i+1][:]) } + vecCopy(prod[0][:], tmp[:]) - internal.UInt64Sort(buf[:], 1<> 31) == (buf[i] >> 31) { + if (list[i-1] >> 31) == (list[i] >> 31) { return false } } + toBitslicing2x(consts[:], prod[:], list[:]) for i := 0; i < (1 << gfBits); i++ { - pi[i] = int16(buf[i] & gfMask) + pi[i] = int16(list[i] & gfMask) } - for i := 0; i < sysN; i++ { - L[i] = bitRev(gf(pi[i])) - } - - // filling the matrix - root(&inv, &g, &L) - - for i := 0; i < sysN; i++ { - inv[i] = gf8192.Inv(inv[i]) + for j := 0; j < nblocksI; j++ { + for k := 0; k < gfBits; k++ { + mat[k][j] = prod[j][k] + } } - for i := 0; i < sysT; i++ { - for j := 0; j < sysN; j += 8 { + for i := 1; i < sysT; i++ { + for j := 0; j < nblocksI; j++ { + vecMul(prod[j][:], prod[j][:], consts[j][:]) for k := 0; k < gfBits; k++ { - b := byte(inv[j+7]>>k) & 1 - b <<= 1 - b |= byte(inv[j+6]>>k) & 1 - b <<= 1 - b |= byte(inv[j+5]>>k) & 1 - b <<= 1 - b |= byte(inv[j+4]>>k) & 1 - b <<= 1 - b |= byte(inv[j+3]>>k) & 1 - b <<= 1 - b |= byte(inv[j+2]>>k) & 1 - b <<= 1 - b |= byte(inv[j+1]>>k) & 1 - b <<= 1 - b |= byte(inv[j+0]>>k) & 1 - - mat[i*gfBits+k][j/8] = b + mat[i*gfBits+k][j] = prod[j][k] } } + } - for j := 0; j < sysN; j++ { - inv[j] = gf8192.Mul(inv[j], L[j]) + // gaussian elimination to obtain an upper triangular matrix + // and keep track of the operations in ops + + for i := 0; i < pkNRows; i++ { + for j := 0; j < nblocksI; j++ { + ops[i][j] = 0 } } + for i := 0; i < pkNRows; i++ { + ops[i][i/64] = 1 + ops[i][i/64] <<= (i % 64) + } + + column := [pkNRows]uint64{} + for i := 0; i < pkNRows; i++ { + column[i] = mat[i][blockIdx] + } + + for row := 0; row < pkNRows; row++ { + i := row >> 6 + j := row & 63 - // gaussian elimination - for i := 0; i < (pkNRows+7)/8; i++ { - for j := 0; j < 8; j++ { - row := i*8 + j + for k := row + 1; k < pkNRows; k++ { + mask = mat[row][i] >> j + mask &= 1 + mask -= 1 - if row >= pkNRows { - break + for c := 0; c < nblocksI; c++ { + mat[row][c] ^= mat[k][c] & mask + ops[row][c] ^= ops[k][c] & mask } + } + // return if not systematic + if ((mat[row][i] >> j) & 1) == 0 { + return false + } - for k := row + 1; k < pkNRows; k++ { - mask := mat[row][i] ^ mat[k][i] - mask >>= j - mask &= 1 - mask = -mask + for k := row + 1; k < pkNRows; k++ { + mask = mat[k][i] >> j + mask &= 1 + mask = -mask - for c := 0; c < sysN/8; c++ { - mat[row][c] ^= mat[k][c] & mask - } + for c := 0; c < nblocksI; c++ { + mat[k][c] ^= mat[row][c] & mask + ops[k][c] ^= ops[row][c] & mask } + } + } + + // computing the lineaer map required to obatin the systematic form + + for row := pkNRows - 1; row >= 0; row-- { + for k := 0; k < row; k++ { + mask = mat[k][row/64] >> (row & 63) + mask &= 1 + mask = -mask - // return if not systematic - if ((mat[row][i] >> j) & 1) == 0 { - return false + for c := 0; c < nblocksI; c++ { + ops[k][c] ^= ops[row][c] & mask } + } + } - for k := 0; k < pkNRows; k++ { - if k != row { - mask := mat[k][i] >> j - mask &= 1 - mask = -mask + // apply the linear map to the non-systematic part + for j := nblocksI; j < nblocksH; j++ { + for k := 0; k < gfBits; k++ { + mat[k][j] = prod[j][k] + } + } - for c := 0; c < sysN/8; c++ { - mat[k][c] ^= mat[row][c] & mask - } - } + for i := 1; i < sysT; i++ { + for j := nblocksI; j < nblocksH; j++ { + vecMul(prod[j][:], prod[j][:], consts[j][:]) + for k := 0; k < gfBits; k++ { + mat[i*gfBits+k][j] = prod[j][k] } } } + pkp := pk[:] + for i := 0; i < pkNRows; i++ { - copy(pk[i*pkRowBytes:], mat[i][pkNRows/8:pkNRows/8+pkRowBytes]) + mat[i][blockIdx] = column[i] + } + + for row := 0; row < pkNRows; row++ { + for k := 0; k < nblocksH; k++ { + oneRow[k] = 0 + } + + for c := 0; c < pkNRows; c++ { + mask = ops[row][c>>6] >> (c & 63) + mask &= 1 + mask = -mask + + for k := blockIdx; k < nblocksH; k++ { + oneRow[k] ^= mat[c][k] & mask + } + } + + var k int + for k = blockIdx; k < nblocksH-1; k++ { + + oneRow[k] = (oneRow[k] >> tail) | (oneRow[k+1] << (64 - tail)) + + store8(pkp, oneRow[k]) + pkp = pkp[8:] + } + + oneRow[k] >>= tail + + storeI(pkp, oneRow[k], pkRowBytes%8) + + pkp = pkp[pkRowBytes%8:] } return true diff --git a/kem/mceliece/mceliece460896/vec.go b/kem/mceliece/mceliece460896/vec.go new file mode 100644 index 000000000..2ca061556 --- /dev/null +++ b/kem/mceliece/mceliece460896/vec.go @@ -0,0 +1,129 @@ +// Code generated from vec.templ.go. DO NOT EDIT. + +package mceliece460896 + +func vecMul(h, f, g []uint64) { + buf := [2*gfBits - 1]uint64{} + + for i := 0; i < 2*gfBits-1; i++ { + buf[i] = 0 + } + + for i := 0; i < gfBits; i++ { + for j := 0; j < gfBits; j++ { + buf[i+j] ^= f[i] & g[j] + } + } + + for i := 2*gfBits - 2; i >= gfBits; i-- { + + buf[i-gfBits+4] ^= buf[i] + buf[i-gfBits+3] ^= buf[i] + buf[i-gfBits+1] ^= buf[i] + buf[i-gfBits+0] ^= buf[i] + + } + + for i := 0; i < gfBits; i++ { + h[i] = buf[i] + } +} + +/* bitsliced field squarings */ +func vecSq(out, in []uint64) { + result := [gfBits]uint64{} + + t := in[11] ^ in[12] + + result[0] = in[0] ^ in[11] + result[1] = in[7] ^ t + result[2] = in[1] ^ in[7] + result[3] = in[8] ^ t + result[4] = in[2] ^ in[7] + result[4] = result[4] ^ in[8] + result[4] = result[4] ^ t + result[5] = in[7] ^ in[9] + result[6] = in[3] ^ in[8] + result[6] = result[6] ^ in[9] + result[6] = result[6] ^ in[12] + result[7] = in[8] ^ in[10] + result[8] = in[4] ^ in[9] + result[8] = result[8] ^ in[10] + result[9] = in[9] ^ in[11] + result[10] = in[5] ^ in[10] + result[10] = result[10] ^ in[11] + result[11] = in[10] ^ in[12] + result[12] = in[6] ^ t + + for i := 0; i < gfBits; i++ { + out[i] = result[i] + } +} + +/* bitsliced field inverses */ +func vecInv(out, in []uint64) { + tmp11 := [gfBits]uint64{} + tmp1111 := [gfBits]uint64{} + + vecCopy(out, in) + + vecSq(out, out) + vecMul(tmp11[:], out, in) // ^11 + + vecSq(out, tmp11[:]) + vecSq(out, out) + vecMul(tmp1111[:], out, tmp11[:]) // ^1111 + + vecSq(out, tmp1111[:]) + vecSq(out, out) + vecSq(out, out) + vecSq(out, out) + vecMul(out, out, tmp1111[:]) // ^11111111 + + vecSq(out, out) + vecSq(out, out) + vecSq(out, out) + vecSq(out, out) + vecMul(out, out, tmp1111[:]) // ^111111111111 + + vecSq(out, out) // ^1111111111110 +} + +func vecSetBits(b uint64) uint64 { + ret := -b + return ret +} + +func vecSet116b(v uint16) uint64 { + ret := uint64(v) + ret |= ret << 16 + ret |= ret << 32 + + return ret +} + +func vecCopy(out, in []uint64) { + for i := 0; i < gfBits; i++ { + out[i] = in[i] + } +} + +func vecOrReduce(a []uint64) uint64 { + ret := a[0] + for i := 1; i < gfBits; i++ { + ret |= a[i] + } + + return ret +} + +func vecTestZ(a uint64) int { + a |= a >> 32 + a |= a >> 16 + a |= a >> 8 + a |= a >> 4 + a |= a >> 2 + a |= a >> 1 + + return int((a & 1) ^ 1) +} diff --git a/kem/mceliece/mceliece6688128/fft.go b/kem/mceliece/mceliece6688128/fft.go new file mode 100644 index 000000000..6092bc8c5 --- /dev/null +++ b/kem/mceliece/mceliece6688128/fft.go @@ -0,0 +1,212 @@ +// Code generated from fft_other.templ.go. DO NOT EDIT. + +package mceliece6688128 + +import "github.com/cloudflare/circl/kem/mceliece/internal" + +func fft(out [][gfBits]uint64, in [][gfBits]uint64) { + radixConversions(in) + butterflies(out, in) +} + +func radixConversions(in [][gfBits]uint64) { + for j := 0; j <= 5; j++ { + for i := 0; i < gfBits; i++ { + in[1][i] ^= in[1][i] >> 32 + in[0][i] ^= in[1][i] << 32 + } + + for i := 0; i < gfBits; i++ { + for k := 4; k >= j; k-- { + in[0][i] ^= (in[0][i] & internal.RadixConversionsMask[k][0]) >> (1 << k) + in[0][i] ^= (in[0][i] & internal.RadixConversionsMask[k][1]) >> (1 << k) + in[1][i] ^= (in[1][i] & internal.RadixConversionsMask[k][0]) >> (1 << k) + in[1][i] ^= (in[1][i] & internal.RadixConversionsMask[k][1]) >> (1 << k) + } + } + + if j < 5 { + vecMul(in[0][:], in[0][:], internal.RadixConversionsS[j][0][:]) + vecMul(in[1][:], in[1][:], internal.RadixConversionsS[j][1][:]) + } + } +} + +func butterflies(out [][gfBits]uint64, in [][gfBits]uint64) { + tmp := [gfBits]uint64{} + pre := [8][gfBits]uint64{} + buf := [128]uint64{} + constsPtr := 2 + for i := 0; i < 7; i++ { + for j := 0; j < gfBits; j++ { + pre[i][j] = uint64(internal.ButterfliesBeta[i]>>j) & 1 + pre[i][j] = -pre[i][j] + } + + vecMul(pre[i][:], in[1][:], pre[i][:]) + } + for i := 0; i < gfBits; i++ { + buf[0] = in[0][i] + + buf[1] = buf[0] ^ pre[0][i] + buf[32] = in[0][i] ^ pre[5][i] + buf[3] = buf[1] ^ pre[1][i] + buf[96] = buf[32] ^ pre[6][i] + buf[97] = buf[96] ^ pre[0][i] + buf[2] = in[0][i] ^ pre[1][i] + buf[99] = buf[97] ^ pre[1][i] + buf[6] = buf[2] ^ pre[2][i] + buf[98] = buf[99] ^ pre[0][i] + buf[7] = buf[6] ^ pre[0][i] + buf[102] = buf[98] ^ pre[2][i] + buf[5] = buf[7] ^ pre[1][i] + buf[103] = buf[102] ^ pre[0][i] + buf[101] = buf[103] ^ pre[1][i] + buf[4] = in[0][i] ^ pre[2][i] + buf[100] = buf[101] ^ pre[0][i] + buf[12] = buf[4] ^ pre[3][i] + buf[108] = buf[100] ^ pre[3][i] + buf[13] = buf[12] ^ pre[0][i] + buf[109] = buf[108] ^ pre[0][i] + buf[15] = buf[13] ^ pre[1][i] + buf[111] = buf[109] ^ pre[1][i] + buf[14] = buf[15] ^ pre[0][i] + buf[110] = buf[111] ^ pre[0][i] + buf[10] = buf[14] ^ pre[2][i] + buf[106] = buf[110] ^ pre[2][i] + buf[11] = buf[10] ^ pre[0][i] + buf[107] = buf[106] ^ pre[0][i] + buf[9] = buf[11] ^ pre[1][i] + buf[105] = buf[107] ^ pre[1][i] + buf[104] = buf[105] ^ pre[0][i] + buf[8] = in[0][i] ^ pre[3][i] + buf[120] = buf[104] ^ pre[4][i] + buf[24] = buf[8] ^ pre[4][i] + buf[121] = buf[120] ^ pre[0][i] + buf[25] = buf[24] ^ pre[0][i] + buf[123] = buf[121] ^ pre[1][i] + buf[27] = buf[25] ^ pre[1][i] + buf[122] = buf[123] ^ pre[0][i] + buf[26] = buf[27] ^ pre[0][i] + buf[126] = buf[122] ^ pre[2][i] + buf[30] = buf[26] ^ pre[2][i] + buf[127] = buf[126] ^ pre[0][i] + buf[31] = buf[30] ^ pre[0][i] + buf[125] = buf[127] ^ pre[1][i] + buf[29] = buf[31] ^ pre[1][i] + buf[124] = buf[125] ^ pre[0][i] + buf[28] = buf[29] ^ pre[0][i] + buf[116] = buf[124] ^ pre[3][i] + buf[20] = buf[28] ^ pre[3][i] + buf[117] = buf[116] ^ pre[0][i] + buf[21] = buf[20] ^ pre[0][i] + buf[119] = buf[117] ^ pre[1][i] + buf[23] = buf[21] ^ pre[1][i] + buf[118] = buf[119] ^ pre[0][i] + buf[22] = buf[23] ^ pre[0][i] + buf[114] = buf[118] ^ pre[2][i] + buf[18] = buf[22] ^ pre[2][i] + buf[115] = buf[114] ^ pre[0][i] + buf[19] = buf[18] ^ pre[0][i] + buf[113] = buf[115] ^ pre[1][i] + buf[17] = buf[19] ^ pre[1][i] + buf[112] = buf[113] ^ pre[0][i] + buf[80] = buf[112] ^ pre[5][i] + buf[16] = in[0][i] ^ pre[4][i] + buf[81] = buf[80] ^ pre[0][i] + buf[48] = buf[16] ^ pre[5][i] + buf[83] = buf[81] ^ pre[1][i] + buf[49] = buf[48] ^ pre[0][i] + buf[82] = buf[83] ^ pre[0][i] + buf[51] = buf[49] ^ pre[1][i] + buf[86] = buf[82] ^ pre[2][i] + buf[50] = buf[51] ^ pre[0][i] + buf[87] = buf[86] ^ pre[0][i] + buf[54] = buf[50] ^ pre[2][i] + buf[85] = buf[87] ^ pre[1][i] + buf[55] = buf[54] ^ pre[0][i] + buf[84] = buf[85] ^ pre[0][i] + buf[53] = buf[55] ^ pre[1][i] + buf[92] = buf[84] ^ pre[3][i] + buf[52] = buf[53] ^ pre[0][i] + buf[93] = buf[92] ^ pre[0][i] + buf[60] = buf[52] ^ pre[3][i] + buf[95] = buf[93] ^ pre[1][i] + buf[61] = buf[60] ^ pre[0][i] + buf[94] = buf[95] ^ pre[0][i] + buf[63] = buf[61] ^ pre[1][i] + buf[90] = buf[94] ^ pre[2][i] + buf[62] = buf[63] ^ pre[0][i] + buf[91] = buf[90] ^ pre[0][i] + buf[58] = buf[62] ^ pre[2][i] + buf[89] = buf[91] ^ pre[1][i] + buf[59] = buf[58] ^ pre[0][i] + buf[88] = buf[89] ^ pre[0][i] + buf[57] = buf[59] ^ pre[1][i] + buf[72] = buf[88] ^ pre[4][i] + buf[56] = buf[57] ^ pre[0][i] + buf[73] = buf[72] ^ pre[0][i] + buf[40] = buf[56] ^ pre[4][i] + buf[75] = buf[73] ^ pre[1][i] + buf[41] = buf[40] ^ pre[0][i] + buf[74] = buf[75] ^ pre[0][i] + buf[43] = buf[41] ^ pre[1][i] + buf[78] = buf[74] ^ pre[2][i] + buf[42] = buf[43] ^ pre[0][i] + buf[79] = buf[78] ^ pre[0][i] + buf[46] = buf[42] ^ pre[2][i] + buf[77] = buf[79] ^ pre[1][i] + buf[47] = buf[46] ^ pre[0][i] + buf[76] = buf[77] ^ pre[0][i] + buf[45] = buf[47] ^ pre[1][i] + buf[68] = buf[76] ^ pre[3][i] + buf[44] = buf[45] ^ pre[0][i] + buf[69] = buf[68] ^ pre[0][i] + buf[36] = buf[44] ^ pre[3][i] + buf[71] = buf[69] ^ pre[1][i] + buf[37] = buf[36] ^ pre[0][i] + buf[70] = buf[71] ^ pre[0][i] + buf[39] = buf[37] ^ pre[1][i] + buf[66] = buf[70] ^ pre[2][i] + buf[38] = buf[39] ^ pre[0][i] + buf[67] = buf[66] ^ pre[0][i] + buf[34] = buf[38] ^ pre[2][i] + buf[65] = buf[67] ^ pre[1][i] + buf[35] = buf[34] ^ pre[0][i] + buf[33] = buf[35] ^ pre[1][i] + buf[64] = in[0][i] ^ pre[6][i] + + transpose64x64((*[64]uint64)(buf[:64]), (*[64]uint64)(buf[:64])) + transpose64x64((*[64]uint64)(buf[64:]), (*[64]uint64)(buf[64:])) + + for j := 0; j < 128; j++ { + out[internal.ButterfliesReversal[j]][i] = buf[j] + } + } + + for i := 1; i <= 6; i++ { + s := 1 << i + + for j := 0; j < 128; j += 2 * s { + for k := j; k < j+s; k++ { + vecMul(tmp[:], out[k+s][:], internal.ButterfliesConst[constsPtr+(k-j)][:]) + + for b := 0; b < gfBits; b++ { + out[k][b] ^= tmp[b] + } + for b := 0; b < gfBits; b++ { + out[k+s][b] ^= out[k][b] + } + } + } + + constsPtr += 1 << i + } + + // adding the part contributed by x^128 + for i := 0; i < 128; i++ { + for b := 0; b < gfBits; b++ { + out[i][b] ^= internal.Powers8192[i][b] + } + } +} diff --git a/kem/mceliece/mceliece6688128/pk_gen.go b/kem/mceliece/mceliece6688128/pk_gen.go index dd8d200b6..7a96c8b7d 100644 --- a/kem/mceliece/mceliece6688128/pk_gen.go +++ b/kem/mceliece/mceliece6688128/pk_gen.go @@ -1,13 +1,76 @@ -// Code generated from pk_gen.templ.go. DO NOT EDIT. +// Code generated from pk_gen_vec.templ.go. DO NOT EDIT. package mceliece6688128 import ( "github.com/cloudflare/circl/kem/mceliece/internal" - "github.com/cloudflare/circl/math/gf8192" ) -// TODO: Optimize the Gaussian Elimination loop, possibly by porting the `vec` Reference Implementation? +const exponent = 128 + +func storeI(out []byte, in uint64, i int) { + for j := 0; j < i; j++ { + out[j] = byte((in >> (j * 8)) & 0xFF) + } +} + +func deBitSlicing(out []uint64, in [][gfBits]uint64) { + for i := 0; i < (1 << gfBits); i++ { + out[i] = 0 + } + + for i := 0; i < exponent; i++ { + for j := gfBits - 1; j >= 0; j-- { + for r := 0; r < 64; r++ { + out[i*64+r] <<= 1 + out[i*64+r] |= (in[i][j] >> r) & 1 + } + } + } +} + +func toBitslicing2x(out0 [][gfBits]uint64, out1 [][gfBits]uint64, in []uint64) { + for i := 0; i < exponent; i++ { + for j := gfBits - 1; j >= 0; j-- { + for r := 63; r >= 0; r-- { + out1[i][j] <<= 1 + out1[i][j] |= (in[i*64+r] >> (j + gfBits)) & 1 + } + } + + for j := gfBits - 1; j >= 0; j-- { + for r := 63; r >= 0; r-- { + out0[i][gfBits-1-j] <<= 1 + out0[i][gfBits-1-j] |= (in[i*64+r] >> j) & 1 + } + } + } +} + +func irrLoad(out [][gfBits]uint64, in []byte) { + var ( + v0 uint64 + v1 uint64 + ) + irr := [sysT]uint16{} + + for i := 0; i < sysT; i++ { + irr[i] = loadGf(in[i*2:]) + } + + for i := 0; i < gfBits; i++ { + for j := 63; j >= 0; j-- { + v0 <<= 1 + v1 <<= 1 + v0 |= uint64(irr[j]>>i) & 1 + v1 |= uint64(irr[j+64]>>i) & 1 + } + + out[0][i] = v0 + out[1][i] = v1 + } +} + // nolint:unparam // Public key generation. Generate the public key `pk`, // permutation `pi` and pivot element `pivots` based on the @@ -15,117 +78,177 @@ import ( // `pk` has `max(1 << GFBITS, SYS_N)` elements which is // 4096 for mceliece348864 and 8192 for mceliece8192128. // `sk` has `2 * SYS_T` elements and perm `1 << GFBITS`. -func pkGen(pk *[pkNRows * pkRowBytes]byte, sk []byte, perm *[1 << gfBits]uint32, pi *[1 << gfBits]int16, pivots *uint64) bool { - buf := [1 << gfBits]uint64{} - mat := [pkNRows][sysN / 8]byte{} - g := [sysT + 1]gf{} - L := [sysN]gf{} - inv := [sysN]gf{} - - g[sysT] = 1 - for i := 0; i < sysT; i++ { - g[i] = loadGf(sk) - sk = sk[2:] +func pkGen(pk *[pkNRows * pkRowBytes]byte, irr []byte, perm *[1 << gfBits]uint32, pi *[1 << gfBits]int16, pivots *uint64) bool { + const ( + nblocksH = (sysN + 63) / 64 + nblocksI = (pkNRows + 63) / 64 + + blockIdx = nblocksI + ) + mat := [pkNRows][nblocksH]uint64{} + ops := [pkNRows][nblocksI]uint64{} + var mask uint64 + + irrInt := [2][gfBits]uint64{} + + consts := [exponent][gfBits]uint64{} + eval := [exponent][gfBits]uint64{} + prod := [exponent][gfBits]uint64{} + tmp := [gfBits]uint64{} + list := [1 << gfBits]uint64{} + + oneRow := [exponent]uint64{} + + // compute the inverses + irrLoad(irrInt[:], irr) + fft(eval[:], irrInt[:]) + vecCopy(prod[0][:], eval[0][:]) + for i := 1; i < exponent; i++ { + vecMul(prod[i][:], prod[i-1][:], eval[i][:]) } - - for i := 0; i < 1<= 0; i-- { + vecMul(prod[i+1][:], prod[i][:], tmp[:]) + vecMul(tmp[:], tmp[:], eval[i+1][:]) } - - internal.UInt64Sort(buf[:], 1<> 31) == (buf[i] >> 31) { + if (list[i-1] >> 31) == (list[i] >> 31) { return false } } + toBitslicing2x(consts[:], prod[:], list[:]) for i := 0; i < (1 << gfBits); i++ { - pi[i] = int16(buf[i] & gfMask) - } - - for i := 0; i < sysN; i++ { - L[i] = bitRev(gf(pi[i])) + pi[i] = int16(list[i] & gfMask) } - // filling the matrix - root(&inv, &g, &L) - - for i := 0; i < sysN; i++ { - inv[i] = gf8192.Inv(inv[i]) + for j := 0; j < nblocksI; j++ { + for k := 0; k < gfBits; k++ { + mat[k][j] = prod[j][k] + } } - for i := 0; i < sysT; i++ { - for j := 0; j < sysN; j += 8 { + for i := 1; i < sysT; i++ { + for j := 0; j < nblocksI; j++ { + vecMul(prod[j][:], prod[j][:], consts[j][:]) for k := 0; k < gfBits; k++ { - b := byte(inv[j+7]>>k) & 1 - b <<= 1 - b |= byte(inv[j+6]>>k) & 1 - b <<= 1 - b |= byte(inv[j+5]>>k) & 1 - b <<= 1 - b |= byte(inv[j+4]>>k) & 1 - b <<= 1 - b |= byte(inv[j+3]>>k) & 1 - b <<= 1 - b |= byte(inv[j+2]>>k) & 1 - b <<= 1 - b |= byte(inv[j+1]>>k) & 1 - b <<= 1 - b |= byte(inv[j+0]>>k) & 1 - - mat[i*gfBits+k][j/8] = b + mat[i*gfBits+k][j] = prod[j][k] } } + } - for j := 0; j < sysN; j++ { - inv[j] = gf8192.Mul(inv[j], L[j]) + // gaussian elimination to obtain an upper triangular matrix + // and keep track of the operations in ops + + for i := 0; i < pkNRows; i++ { + for j := 0; j < nblocksI; j++ { + ops[i][j] = 0 } } + for i := 0; i < pkNRows; i++ { + ops[i][i/64] = 1 + ops[i][i/64] <<= (i % 64) + } - // gaussian elimination - for i := 0; i < (pkNRows+7)/8; i++ { - for j := 0; j < 8; j++ { - row := i*8 + j + for row := 0; row < pkNRows; row++ { + i := row >> 6 + j := row & 63 - if row >= pkNRows { - break + for k := row + 1; k < pkNRows; k++ { + mask = mat[row][i] >> j + mask &= 1 + mask -= 1 + + for c := 0; c < nblocksI; c++ { + mat[row][c] ^= mat[k][c] & mask + ops[row][c] ^= ops[k][c] & mask } + } + // return if not systematic + if ((mat[row][i] >> j) & 1) == 0 { + return false + } - for k := row + 1; k < pkNRows; k++ { - mask := mat[row][i] ^ mat[k][i] - mask >>= j - mask &= 1 - mask = -mask + for k := row + 1; k < pkNRows; k++ { + mask = mat[k][i] >> j + mask &= 1 + mask = -mask - for c := 0; c < sysN/8; c++ { - mat[row][c] ^= mat[k][c] & mask - } + for c := 0; c < nblocksI; c++ { + mat[k][c] ^= mat[row][c] & mask + ops[k][c] ^= ops[row][c] & mask } + } + } + + // computing the lineaer map required to obatin the systematic form + + for row := pkNRows - 1; row >= 0; row-- { + for k := 0; k < row; k++ { + mask = mat[k][row/64] >> (row & 63) + mask &= 1 + mask = -mask - // return if not systematic - if ((mat[row][i] >> j) & 1) == 0 { - return false + for c := 0; c < nblocksI; c++ { + ops[k][c] ^= ops[row][c] & mask } + } + } - for k := 0; k < pkNRows; k++ { - if k != row { - mask := mat[k][i] >> j - mask &= 1 - mask = -mask + // apply the linear map to the non-systematic part + for j := nblocksI; j < nblocksH; j++ { + for k := 0; k < gfBits; k++ { + mat[k][j] = prod[j][k] + } + } - for c := 0; c < sysN/8; c++ { - mat[k][c] ^= mat[row][c] & mask - } - } + for i := 1; i < sysT; i++ { + for j := nblocksI; j < nblocksH; j++ { + vecMul(prod[j][:], prod[j][:], consts[j][:]) + for k := 0; k < gfBits; k++ { + mat[i*gfBits+k][j] = prod[j][k] } } } - for i := 0; i < pkNRows; i++ { - copy(pk[i*pkRowBytes:], mat[i][pkNRows/8:pkNRows/8+pkRowBytes]) + pkp := pk[:] + + for row := 0; row < pkNRows; row++ { + for k := 0; k < nblocksH; k++ { + oneRow[k] = 0 + } + + for c := 0; c < pkNRows; c++ { + mask = ops[row][c>>6] >> (c & 63) + mask &= 1 + mask = -mask + + for k := blockIdx; k < nblocksH; k++ { + oneRow[k] ^= mat[c][k] & mask + } + } + + var k int + for k = blockIdx; k < nblocksH-1; k++ { + + store8(pkp, oneRow[k]) + pkp = pkp[8:] + } + + storeI(pkp, oneRow[k], pkRowBytes%8) + + pkp = pkp[pkRowBytes%8:] } return true diff --git a/kem/mceliece/mceliece6688128/vec.go b/kem/mceliece/mceliece6688128/vec.go new file mode 100644 index 000000000..8f8e5bc93 --- /dev/null +++ b/kem/mceliece/mceliece6688128/vec.go @@ -0,0 +1,129 @@ +// Code generated from vec.templ.go. DO NOT EDIT. + +package mceliece6688128 + +func vecMul(h, f, g []uint64) { + buf := [2*gfBits - 1]uint64{} + + for i := 0; i < 2*gfBits-1; i++ { + buf[i] = 0 + } + + for i := 0; i < gfBits; i++ { + for j := 0; j < gfBits; j++ { + buf[i+j] ^= f[i] & g[j] + } + } + + for i := 2*gfBits - 2; i >= gfBits; i-- { + + buf[i-gfBits+4] ^= buf[i] + buf[i-gfBits+3] ^= buf[i] + buf[i-gfBits+1] ^= buf[i] + buf[i-gfBits+0] ^= buf[i] + + } + + for i := 0; i < gfBits; i++ { + h[i] = buf[i] + } +} + +/* bitsliced field squarings */ +func vecSq(out, in []uint64) { + result := [gfBits]uint64{} + + t := in[11] ^ in[12] + + result[0] = in[0] ^ in[11] + result[1] = in[7] ^ t + result[2] = in[1] ^ in[7] + result[3] = in[8] ^ t + result[4] = in[2] ^ in[7] + result[4] = result[4] ^ in[8] + result[4] = result[4] ^ t + result[5] = in[7] ^ in[9] + result[6] = in[3] ^ in[8] + result[6] = result[6] ^ in[9] + result[6] = result[6] ^ in[12] + result[7] = in[8] ^ in[10] + result[8] = in[4] ^ in[9] + result[8] = result[8] ^ in[10] + result[9] = in[9] ^ in[11] + result[10] = in[5] ^ in[10] + result[10] = result[10] ^ in[11] + result[11] = in[10] ^ in[12] + result[12] = in[6] ^ t + + for i := 0; i < gfBits; i++ { + out[i] = result[i] + } +} + +/* bitsliced field inverses */ +func vecInv(out, in []uint64) { + tmp11 := [gfBits]uint64{} + tmp1111 := [gfBits]uint64{} + + vecCopy(out, in) + + vecSq(out, out) + vecMul(tmp11[:], out, in) // ^11 + + vecSq(out, tmp11[:]) + vecSq(out, out) + vecMul(tmp1111[:], out, tmp11[:]) // ^1111 + + vecSq(out, tmp1111[:]) + vecSq(out, out) + vecSq(out, out) + vecSq(out, out) + vecMul(out, out, tmp1111[:]) // ^11111111 + + vecSq(out, out) + vecSq(out, out) + vecSq(out, out) + vecSq(out, out) + vecMul(out, out, tmp1111[:]) // ^111111111111 + + vecSq(out, out) // ^1111111111110 +} + +func vecSetBits(b uint64) uint64 { + ret := -b + return ret +} + +func vecSet116b(v uint16) uint64 { + ret := uint64(v) + ret |= ret << 16 + ret |= ret << 32 + + return ret +} + +func vecCopy(out, in []uint64) { + for i := 0; i < gfBits; i++ { + out[i] = in[i] + } +} + +func vecOrReduce(a []uint64) uint64 { + ret := a[0] + for i := 1; i < gfBits; i++ { + ret |= a[i] + } + + return ret +} + +func vecTestZ(a uint64) int { + a |= a >> 32 + a |= a >> 16 + a |= a >> 8 + a |= a >> 4 + a |= a >> 2 + a |= a >> 1 + + return int((a & 1) ^ 1) +} diff --git a/kem/mceliece/mceliece6960119/fft.go b/kem/mceliece/mceliece6960119/fft.go new file mode 100644 index 000000000..d0a2268cb --- /dev/null +++ b/kem/mceliece/mceliece6960119/fft.go @@ -0,0 +1,205 @@ +// Code generated from fft_other.templ.go. DO NOT EDIT. + +package mceliece6960119 + +import "github.com/cloudflare/circl/kem/mceliece/internal" + +func fft(out [][gfBits]uint64, in [][gfBits]uint64) { + radixConversions(in) + butterflies(out, in) +} + +func radixConversions(in [][gfBits]uint64) { + for j := 0; j <= 5; j++ { + for i := 0; i < gfBits; i++ { + in[1][i] ^= in[1][i] >> 32 + in[0][i] ^= in[1][i] << 32 + } + + for i := 0; i < gfBits; i++ { + for k := 4; k >= j; k-- { + in[0][i] ^= (in[0][i] & internal.RadixConversionsMask[k][0]) >> (1 << k) + in[0][i] ^= (in[0][i] & internal.RadixConversionsMask[k][1]) >> (1 << k) + in[1][i] ^= (in[1][i] & internal.RadixConversionsMask[k][0]) >> (1 << k) + in[1][i] ^= (in[1][i] & internal.RadixConversionsMask[k][1]) >> (1 << k) + } + } + + if j < 5 { + vecMul(in[0][:], in[0][:], internal.RadixConversionsS[j][0][:]) + vecMul(in[1][:], in[1][:], internal.RadixConversionsS[j][1][:]) + } + } +} + +func butterflies(out [][gfBits]uint64, in [][gfBits]uint64) { + tmp := [gfBits]uint64{} + pre := [8][gfBits]uint64{} + buf := [128]uint64{} + constsPtr := 2 + for i := 0; i < 7; i++ { + for j := 0; j < gfBits; j++ { + pre[i][j] = uint64(internal.ButterfliesBeta[i]>>j) & 1 + pre[i][j] = -pre[i][j] + } + + vecMul(pre[i][:], in[1][:], pre[i][:]) + } + for i := 0; i < gfBits; i++ { + buf[0] = in[0][i] + + buf[1] = buf[0] ^ pre[0][i] + buf[32] = in[0][i] ^ pre[5][i] + buf[3] = buf[1] ^ pre[1][i] + buf[96] = buf[32] ^ pre[6][i] + buf[97] = buf[96] ^ pre[0][i] + buf[2] = in[0][i] ^ pre[1][i] + buf[99] = buf[97] ^ pre[1][i] + buf[6] = buf[2] ^ pre[2][i] + buf[98] = buf[99] ^ pre[0][i] + buf[7] = buf[6] ^ pre[0][i] + buf[102] = buf[98] ^ pre[2][i] + buf[5] = buf[7] ^ pre[1][i] + buf[103] = buf[102] ^ pre[0][i] + buf[101] = buf[103] ^ pre[1][i] + buf[4] = in[0][i] ^ pre[2][i] + buf[100] = buf[101] ^ pre[0][i] + buf[12] = buf[4] ^ pre[3][i] + buf[108] = buf[100] ^ pre[3][i] + buf[13] = buf[12] ^ pre[0][i] + buf[109] = buf[108] ^ pre[0][i] + buf[15] = buf[13] ^ pre[1][i] + buf[111] = buf[109] ^ pre[1][i] + buf[14] = buf[15] ^ pre[0][i] + buf[110] = buf[111] ^ pre[0][i] + buf[10] = buf[14] ^ pre[2][i] + buf[106] = buf[110] ^ pre[2][i] + buf[11] = buf[10] ^ pre[0][i] + buf[107] = buf[106] ^ pre[0][i] + buf[9] = buf[11] ^ pre[1][i] + buf[105] = buf[107] ^ pre[1][i] + buf[104] = buf[105] ^ pre[0][i] + buf[8] = in[0][i] ^ pre[3][i] + buf[120] = buf[104] ^ pre[4][i] + buf[24] = buf[8] ^ pre[4][i] + buf[121] = buf[120] ^ pre[0][i] + buf[25] = buf[24] ^ pre[0][i] + buf[123] = buf[121] ^ pre[1][i] + buf[27] = buf[25] ^ pre[1][i] + buf[122] = buf[123] ^ pre[0][i] + buf[26] = buf[27] ^ pre[0][i] + buf[126] = buf[122] ^ pre[2][i] + buf[30] = buf[26] ^ pre[2][i] + buf[127] = buf[126] ^ pre[0][i] + buf[31] = buf[30] ^ pre[0][i] + buf[125] = buf[127] ^ pre[1][i] + buf[29] = buf[31] ^ pre[1][i] + buf[124] = buf[125] ^ pre[0][i] + buf[28] = buf[29] ^ pre[0][i] + buf[116] = buf[124] ^ pre[3][i] + buf[20] = buf[28] ^ pre[3][i] + buf[117] = buf[116] ^ pre[0][i] + buf[21] = buf[20] ^ pre[0][i] + buf[119] = buf[117] ^ pre[1][i] + buf[23] = buf[21] ^ pre[1][i] + buf[118] = buf[119] ^ pre[0][i] + buf[22] = buf[23] ^ pre[0][i] + buf[114] = buf[118] ^ pre[2][i] + buf[18] = buf[22] ^ pre[2][i] + buf[115] = buf[114] ^ pre[0][i] + buf[19] = buf[18] ^ pre[0][i] + buf[113] = buf[115] ^ pre[1][i] + buf[17] = buf[19] ^ pre[1][i] + buf[112] = buf[113] ^ pre[0][i] + buf[80] = buf[112] ^ pre[5][i] + buf[16] = in[0][i] ^ pre[4][i] + buf[81] = buf[80] ^ pre[0][i] + buf[48] = buf[16] ^ pre[5][i] + buf[83] = buf[81] ^ pre[1][i] + buf[49] = buf[48] ^ pre[0][i] + buf[82] = buf[83] ^ pre[0][i] + buf[51] = buf[49] ^ pre[1][i] + buf[86] = buf[82] ^ pre[2][i] + buf[50] = buf[51] ^ pre[0][i] + buf[87] = buf[86] ^ pre[0][i] + buf[54] = buf[50] ^ pre[2][i] + buf[85] = buf[87] ^ pre[1][i] + buf[55] = buf[54] ^ pre[0][i] + buf[84] = buf[85] ^ pre[0][i] + buf[53] = buf[55] ^ pre[1][i] + buf[92] = buf[84] ^ pre[3][i] + buf[52] = buf[53] ^ pre[0][i] + buf[93] = buf[92] ^ pre[0][i] + buf[60] = buf[52] ^ pre[3][i] + buf[95] = buf[93] ^ pre[1][i] + buf[61] = buf[60] ^ pre[0][i] + buf[94] = buf[95] ^ pre[0][i] + buf[63] = buf[61] ^ pre[1][i] + buf[90] = buf[94] ^ pre[2][i] + buf[62] = buf[63] ^ pre[0][i] + buf[91] = buf[90] ^ pre[0][i] + buf[58] = buf[62] ^ pre[2][i] + buf[89] = buf[91] ^ pre[1][i] + buf[59] = buf[58] ^ pre[0][i] + buf[88] = buf[89] ^ pre[0][i] + buf[57] = buf[59] ^ pre[1][i] + buf[72] = buf[88] ^ pre[4][i] + buf[56] = buf[57] ^ pre[0][i] + buf[73] = buf[72] ^ pre[0][i] + buf[40] = buf[56] ^ pre[4][i] + buf[75] = buf[73] ^ pre[1][i] + buf[41] = buf[40] ^ pre[0][i] + buf[74] = buf[75] ^ pre[0][i] + buf[43] = buf[41] ^ pre[1][i] + buf[78] = buf[74] ^ pre[2][i] + buf[42] = buf[43] ^ pre[0][i] + buf[79] = buf[78] ^ pre[0][i] + buf[46] = buf[42] ^ pre[2][i] + buf[77] = buf[79] ^ pre[1][i] + buf[47] = buf[46] ^ pre[0][i] + buf[76] = buf[77] ^ pre[0][i] + buf[45] = buf[47] ^ pre[1][i] + buf[68] = buf[76] ^ pre[3][i] + buf[44] = buf[45] ^ pre[0][i] + buf[69] = buf[68] ^ pre[0][i] + buf[36] = buf[44] ^ pre[3][i] + buf[71] = buf[69] ^ pre[1][i] + buf[37] = buf[36] ^ pre[0][i] + buf[70] = buf[71] ^ pre[0][i] + buf[39] = buf[37] ^ pre[1][i] + buf[66] = buf[70] ^ pre[2][i] + buf[38] = buf[39] ^ pre[0][i] + buf[67] = buf[66] ^ pre[0][i] + buf[34] = buf[38] ^ pre[2][i] + buf[65] = buf[67] ^ pre[1][i] + buf[35] = buf[34] ^ pre[0][i] + buf[33] = buf[35] ^ pre[1][i] + buf[64] = in[0][i] ^ pre[6][i] + + transpose64x64((*[64]uint64)(buf[:64]), (*[64]uint64)(buf[:64])) + transpose64x64((*[64]uint64)(buf[64:]), (*[64]uint64)(buf[64:])) + + for j := 0; j < 128; j++ { + out[internal.ButterfliesReversal[j]][i] = buf[j] + } + } + + for i := 1; i <= 6; i++ { + s := 1 << i + + for j := 0; j < 128; j += 2 * s { + for k := j; k < j+s; k++ { + vecMul(tmp[:], out[k+s][:], internal.ButterfliesConst[constsPtr+(k-j)][:]) + + for b := 0; b < gfBits; b++ { + out[k][b] ^= tmp[b] + } + for b := 0; b < gfBits; b++ { + out[k+s][b] ^= out[k][b] + } + } + } + + constsPtr += 1 << i + } +} diff --git a/kem/mceliece/mceliece6960119/pk_gen.go b/kem/mceliece/mceliece6960119/pk_gen.go index b4de9e5e2..756ce3994 100644 --- a/kem/mceliece/mceliece6960119/pk_gen.go +++ b/kem/mceliece/mceliece6960119/pk_gen.go @@ -1,13 +1,80 @@ -// Code generated from pk_gen.templ.go. DO NOT EDIT. +// Code generated from pk_gen_vec.templ.go. DO NOT EDIT. package mceliece6960119 import ( "github.com/cloudflare/circl/kem/mceliece/internal" - "github.com/cloudflare/circl/math/gf8192" ) -// TODO: Optimize the Gaussian Elimination loop, possibly by porting the `vec` Reference Implementation? +const exponent = 128 + +func storeI(out []byte, in uint64, i int) { + for j := 0; j < i; j++ { + out[j] = byte((in >> (j * 8)) & 0xFF) + } +} + +func deBitSlicing(out []uint64, in [][gfBits]uint64) { + for i := 0; i < (1 << gfBits); i++ { + out[i] = 0 + } + + for i := 0; i < exponent; i++ { + for j := gfBits - 1; j >= 0; j-- { + for r := 0; r < 64; r++ { + out[i*64+r] <<= 1 + out[i*64+r] |= (in[i][j] >> r) & 1 + } + } + } +} + +func toBitslicing2x(out0 [][gfBits]uint64, out1 [][gfBits]uint64, in []uint64) { + for i := 0; i < exponent; i++ { + for j := gfBits - 1; j >= 0; j-- { + for r := 63; r >= 0; r-- { + out1[i][j] <<= 1 + out1[i][j] |= (in[i*64+r] >> (j + gfBits)) & 1 + } + } + + for j := gfBits - 1; j >= 0; j-- { + for r := 63; r >= 0; r-- { + out0[i][gfBits-1-j] <<= 1 + out0[i][gfBits-1-j] |= (in[i*64+r] >> j) & 1 + } + } + } +} + +func irrLoad(out [][gfBits]uint64, in []byte) { + irr := [sysT + 1]uint16{} + + for i := 0; i < sysT; i++ { + irr[i] = loadGf(in[i*2:]) + } + + irr[sysT] = 1 + + v := [2]uint64{} + for i := 0; i < gfBits; i++ { + v[0] = 0 + v[1] = 0 + + for j := 63; j >= 0; j-- { + v[0] <<= 1 + v[0] |= uint64(irr[j]>>i) & 1 + } + for j := sysT; j >= 64; j-- { + v[1] <<= 1 + v[1] |= uint64(irr[j]>>i) & 1 + } + + out[0][i] = v[0] + out[1][i] = v[1] + } +} + // nolint:unparam // Public key generation. Generate the public key `pk`, // permutation `pi` and pivot element `pivots` based on the @@ -15,124 +82,193 @@ import ( // `pk` has `max(1 << GFBITS, SYS_N)` elements which is // 4096 for mceliece348864 and 8192 for mceliece8192128. // `sk` has `2 * SYS_T` elements and perm `1 << GFBITS`. -func pkGen(pk *[pkNRows * pkRowBytes]byte, sk []byte, perm *[1 << gfBits]uint32, pi *[1 << gfBits]int16, pivots *uint64) bool { - buf := [1 << gfBits]uint64{} - mat := [pkNRows][sysN / 8]byte{} - g := [sysT + 1]gf{} - L := [sysN]gf{} - inv := [sysN]gf{} - - g[sysT] = 1 - for i := 0; i < sysT; i++ { - g[i] = loadGf(sk) - sk = sk[2:] - } +func pkGen(pk *[pkNRows * pkRowBytes]byte, irr []byte, perm *[1 << gfBits]uint32, pi *[1 << gfBits]int16, pivots *uint64) bool { + const ( + nblocksH = (sysN + 63) / 64 + nblocksI = (pkNRows + 63) / 64 + + blockIdx = nblocksI - 1 + tail = pkNRows % 64 + ) + mat := [pkNRows][nblocksH]uint64{} + ops := [pkNRows][nblocksI]uint64{} + var mask uint64 + + irrInt := [2][gfBits]uint64{} - for i := 0; i < 1<= 0; i-- { + vecMul(prod[i+1][:], prod[i][:], tmp[:]) + vecMul(tmp[:], tmp[:], eval[i+1][:]) } + vecCopy(prod[0][:], tmp[:]) - internal.UInt64Sort(buf[:], 1<> 31) == (buf[i] >> 31) { + if (list[i-1] >> 31) == (list[i] >> 31) { return false } } + toBitslicing2x(consts[:], prod[:], list[:]) for i := 0; i < (1 << gfBits); i++ { - pi[i] = int16(buf[i] & gfMask) + pi[i] = int16(list[i] & gfMask) } - for i := 0; i < sysN; i++ { - L[i] = bitRev(gf(pi[i])) - } - - // filling the matrix - root(&inv, &g, &L) - - for i := 0; i < sysN; i++ { - inv[i] = gf8192.Inv(inv[i]) + for j := 0; j < nblocksI; j++ { + for k := 0; k < gfBits; k++ { + mat[k][j] = prod[j][k] + } } - for i := 0; i < sysT; i++ { - for j := 0; j < sysN; j += 8 { + for i := 1; i < sysT; i++ { + for j := 0; j < nblocksI; j++ { + vecMul(prod[j][:], prod[j][:], consts[j][:]) for k := 0; k < gfBits; k++ { - b := byte(inv[j+7]>>k) & 1 - b <<= 1 - b |= byte(inv[j+6]>>k) & 1 - b <<= 1 - b |= byte(inv[j+5]>>k) & 1 - b <<= 1 - b |= byte(inv[j+4]>>k) & 1 - b <<= 1 - b |= byte(inv[j+3]>>k) & 1 - b <<= 1 - b |= byte(inv[j+2]>>k) & 1 - b <<= 1 - b |= byte(inv[j+1]>>k) & 1 - b <<= 1 - b |= byte(inv[j+0]>>k) & 1 - - mat[i*gfBits+k][j/8] = b + mat[i*gfBits+k][j] = prod[j][k] } } + } - for j := 0; j < sysN; j++ { - inv[j] = gf8192.Mul(inv[j], L[j]) + // gaussian elimination to obtain an upper triangular matrix + // and keep track of the operations in ops + + for i := 0; i < pkNRows; i++ { + for j := 0; j < nblocksI; j++ { + ops[i][j] = 0 } } + for i := 0; i < pkNRows; i++ { + ops[i][i/64] = 1 + ops[i][i/64] <<= (i % 64) + } + + column := [pkNRows]uint64{} + for i := 0; i < pkNRows; i++ { + column[i] = mat[i][blockIdx] + } + + for row := 0; row < pkNRows; row++ { + i := row >> 6 + j := row & 63 - // gaussian elimination - for i := 0; i < (pkNRows+7)/8; i++ { - for j := 0; j < 8; j++ { - row := i*8 + j + for k := row + 1; k < pkNRows; k++ { + mask = mat[row][i] >> j + mask &= 1 + mask -= 1 - if row >= pkNRows { - break + for c := 0; c < nblocksI; c++ { + mat[row][c] ^= mat[k][c] & mask + ops[row][c] ^= ops[k][c] & mask } + } + // return if not systematic + if ((mat[row][i] >> j) & 1) == 0 { + return false + } - for k := row + 1; k < pkNRows; k++ { - mask := mat[row][i] ^ mat[k][i] - mask >>= j - mask &= 1 - mask = -mask + for k := row + 1; k < pkNRows; k++ { + mask = mat[k][i] >> j + mask &= 1 + mask = -mask - for c := 0; c < sysN/8; c++ { - mat[row][c] ^= mat[k][c] & mask - } + for c := 0; c < nblocksI; c++ { + mat[k][c] ^= mat[row][c] & mask + ops[k][c] ^= ops[row][c] & mask } + } + } + + // computing the lineaer map required to obatin the systematic form + + for row := pkNRows - 1; row >= 0; row-- { + for k := 0; k < row; k++ { + mask = mat[k][row/64] >> (row & 63) + mask &= 1 + mask = -mask - // return if not systematic - if ((mat[row][i] >> j) & 1) == 0 { - return false + for c := 0; c < nblocksI; c++ { + ops[k][c] ^= ops[row][c] & mask } + } + } - for k := 0; k < pkNRows; k++ { - if k != row { - mask := mat[k][i] >> j - mask &= 1 - mask = -mask + // apply the linear map to the non-systematic part + for j := nblocksI; j < nblocksH; j++ { + for k := 0; k < gfBits; k++ { + mat[k][j] = prod[j][k] + } + } - for c := 0; c < sysN/8; c++ { - mat[k][c] ^= mat[row][c] & mask - } - } + for i := 1; i < sysT; i++ { + for j := nblocksI; j < nblocksH; j++ { + vecMul(prod[j][:], prod[j][:], consts[j][:]) + for k := 0; k < gfBits; k++ { + mat[i*gfBits+k][j] = prod[j][k] } } } - tail := pkNRows % 8 - const innerPkAccesses = ((sysN/8 - 1) - (pkNRows-1)/8) + 1 + pkp := pk[:] + for i := 0; i < pkNRows; i++ { - idx := 0 - for j := (pkNRows - 1) / 8; j < sysN/8-1; j++ { - pk[i*innerPkAccesses+idx] = (mat[i][j] >> tail) | (mat[i][j+1] << (8 - tail)) - idx++ + mat[i][blockIdx] = column[i] + } + + for row := 0; row < pkNRows; row++ { + for k := 0; k < nblocksH; k++ { + oneRow[k] = 0 + } + + for c := 0; c < pkNRows; c++ { + mask = ops[row][c>>6] >> (c & 63) + mask &= 1 + mask = -mask + + for k := blockIdx; k < nblocksH; k++ { + oneRow[k] ^= mat[c][k] & mask + } + } + + var k int + for k = blockIdx; k < nblocksH-1; k++ { + + oneRow[k] = (oneRow[k] >> tail) | (oneRow[k+1] << (64 - tail)) + + store8(pkp, oneRow[k]) + pkp = pkp[8:] } - pk[(i+1)*innerPkAccesses-1] = mat[i][sysN/8-1] >> tail + + oneRow[k] >>= tail + + storeI(pkp, oneRow[k], pkRowBytes%8) + + pkp[(pkRowBytes%8)-1] &= (1 << (pkNCols % 8)) - 1 // removing redundant bits + + pkp = pkp[pkRowBytes%8:] } return true diff --git a/kem/mceliece/mceliece6960119/vec.go b/kem/mceliece/mceliece6960119/vec.go new file mode 100644 index 000000000..290ee5c9c --- /dev/null +++ b/kem/mceliece/mceliece6960119/vec.go @@ -0,0 +1,129 @@ +// Code generated from vec.templ.go. DO NOT EDIT. + +package mceliece6960119 + +func vecMul(h, f, g []uint64) { + buf := [2*gfBits - 1]uint64{} + + for i := 0; i < 2*gfBits-1; i++ { + buf[i] = 0 + } + + for i := 0; i < gfBits; i++ { + for j := 0; j < gfBits; j++ { + buf[i+j] ^= f[i] & g[j] + } + } + + for i := 2*gfBits - 2; i >= gfBits; i-- { + + buf[i-gfBits+4] ^= buf[i] + buf[i-gfBits+3] ^= buf[i] + buf[i-gfBits+1] ^= buf[i] + buf[i-gfBits+0] ^= buf[i] + + } + + for i := 0; i < gfBits; i++ { + h[i] = buf[i] + } +} + +/* bitsliced field squarings */ +func vecSq(out, in []uint64) { + result := [gfBits]uint64{} + + t := in[11] ^ in[12] + + result[0] = in[0] ^ in[11] + result[1] = in[7] ^ t + result[2] = in[1] ^ in[7] + result[3] = in[8] ^ t + result[4] = in[2] ^ in[7] + result[4] = result[4] ^ in[8] + result[4] = result[4] ^ t + result[5] = in[7] ^ in[9] + result[6] = in[3] ^ in[8] + result[6] = result[6] ^ in[9] + result[6] = result[6] ^ in[12] + result[7] = in[8] ^ in[10] + result[8] = in[4] ^ in[9] + result[8] = result[8] ^ in[10] + result[9] = in[9] ^ in[11] + result[10] = in[5] ^ in[10] + result[10] = result[10] ^ in[11] + result[11] = in[10] ^ in[12] + result[12] = in[6] ^ t + + for i := 0; i < gfBits; i++ { + out[i] = result[i] + } +} + +/* bitsliced field inverses */ +func vecInv(out, in []uint64) { + tmp11 := [gfBits]uint64{} + tmp1111 := [gfBits]uint64{} + + vecCopy(out, in) + + vecSq(out, out) + vecMul(tmp11[:], out, in) // ^11 + + vecSq(out, tmp11[:]) + vecSq(out, out) + vecMul(tmp1111[:], out, tmp11[:]) // ^1111 + + vecSq(out, tmp1111[:]) + vecSq(out, out) + vecSq(out, out) + vecSq(out, out) + vecMul(out, out, tmp1111[:]) // ^11111111 + + vecSq(out, out) + vecSq(out, out) + vecSq(out, out) + vecSq(out, out) + vecMul(out, out, tmp1111[:]) // ^111111111111 + + vecSq(out, out) // ^1111111111110 +} + +func vecSetBits(b uint64) uint64 { + ret := -b + return ret +} + +func vecSet116b(v uint16) uint64 { + ret := uint64(v) + ret |= ret << 16 + ret |= ret << 32 + + return ret +} + +func vecCopy(out, in []uint64) { + for i := 0; i < gfBits; i++ { + out[i] = in[i] + } +} + +func vecOrReduce(a []uint64) uint64 { + ret := a[0] + for i := 1; i < gfBits; i++ { + ret |= a[i] + } + + return ret +} + +func vecTestZ(a uint64) int { + a |= a >> 32 + a |= a >> 16 + a |= a >> 8 + a |= a >> 4 + a |= a >> 2 + a |= a >> 1 + + return int((a & 1) ^ 1) +} diff --git a/kem/mceliece/mceliece8192128/fft.go b/kem/mceliece/mceliece8192128/fft.go new file mode 100644 index 000000000..31b18a9ab --- /dev/null +++ b/kem/mceliece/mceliece8192128/fft.go @@ -0,0 +1,212 @@ +// Code generated from fft_other.templ.go. DO NOT EDIT. + +package mceliece8192128 + +import "github.com/cloudflare/circl/kem/mceliece/internal" + +func fft(out [][gfBits]uint64, in [][gfBits]uint64) { + radixConversions(in) + butterflies(out, in) +} + +func radixConversions(in [][gfBits]uint64) { + for j := 0; j <= 5; j++ { + for i := 0; i < gfBits; i++ { + in[1][i] ^= in[1][i] >> 32 + in[0][i] ^= in[1][i] << 32 + } + + for i := 0; i < gfBits; i++ { + for k := 4; k >= j; k-- { + in[0][i] ^= (in[0][i] & internal.RadixConversionsMask[k][0]) >> (1 << k) + in[0][i] ^= (in[0][i] & internal.RadixConversionsMask[k][1]) >> (1 << k) + in[1][i] ^= (in[1][i] & internal.RadixConversionsMask[k][0]) >> (1 << k) + in[1][i] ^= (in[1][i] & internal.RadixConversionsMask[k][1]) >> (1 << k) + } + } + + if j < 5 { + vecMul(in[0][:], in[0][:], internal.RadixConversionsS[j][0][:]) + vecMul(in[1][:], in[1][:], internal.RadixConversionsS[j][1][:]) + } + } +} + +func butterflies(out [][gfBits]uint64, in [][gfBits]uint64) { + tmp := [gfBits]uint64{} + pre := [8][gfBits]uint64{} + buf := [128]uint64{} + constsPtr := 2 + for i := 0; i < 7; i++ { + for j := 0; j < gfBits; j++ { + pre[i][j] = uint64(internal.ButterfliesBeta[i]>>j) & 1 + pre[i][j] = -pre[i][j] + } + + vecMul(pre[i][:], in[1][:], pre[i][:]) + } + for i := 0; i < gfBits; i++ { + buf[0] = in[0][i] + + buf[1] = buf[0] ^ pre[0][i] + buf[32] = in[0][i] ^ pre[5][i] + buf[3] = buf[1] ^ pre[1][i] + buf[96] = buf[32] ^ pre[6][i] + buf[97] = buf[96] ^ pre[0][i] + buf[2] = in[0][i] ^ pre[1][i] + buf[99] = buf[97] ^ pre[1][i] + buf[6] = buf[2] ^ pre[2][i] + buf[98] = buf[99] ^ pre[0][i] + buf[7] = buf[6] ^ pre[0][i] + buf[102] = buf[98] ^ pre[2][i] + buf[5] = buf[7] ^ pre[1][i] + buf[103] = buf[102] ^ pre[0][i] + buf[101] = buf[103] ^ pre[1][i] + buf[4] = in[0][i] ^ pre[2][i] + buf[100] = buf[101] ^ pre[0][i] + buf[12] = buf[4] ^ pre[3][i] + buf[108] = buf[100] ^ pre[3][i] + buf[13] = buf[12] ^ pre[0][i] + buf[109] = buf[108] ^ pre[0][i] + buf[15] = buf[13] ^ pre[1][i] + buf[111] = buf[109] ^ pre[1][i] + buf[14] = buf[15] ^ pre[0][i] + buf[110] = buf[111] ^ pre[0][i] + buf[10] = buf[14] ^ pre[2][i] + buf[106] = buf[110] ^ pre[2][i] + buf[11] = buf[10] ^ pre[0][i] + buf[107] = buf[106] ^ pre[0][i] + buf[9] = buf[11] ^ pre[1][i] + buf[105] = buf[107] ^ pre[1][i] + buf[104] = buf[105] ^ pre[0][i] + buf[8] = in[0][i] ^ pre[3][i] + buf[120] = buf[104] ^ pre[4][i] + buf[24] = buf[8] ^ pre[4][i] + buf[121] = buf[120] ^ pre[0][i] + buf[25] = buf[24] ^ pre[0][i] + buf[123] = buf[121] ^ pre[1][i] + buf[27] = buf[25] ^ pre[1][i] + buf[122] = buf[123] ^ pre[0][i] + buf[26] = buf[27] ^ pre[0][i] + buf[126] = buf[122] ^ pre[2][i] + buf[30] = buf[26] ^ pre[2][i] + buf[127] = buf[126] ^ pre[0][i] + buf[31] = buf[30] ^ pre[0][i] + buf[125] = buf[127] ^ pre[1][i] + buf[29] = buf[31] ^ pre[1][i] + buf[124] = buf[125] ^ pre[0][i] + buf[28] = buf[29] ^ pre[0][i] + buf[116] = buf[124] ^ pre[3][i] + buf[20] = buf[28] ^ pre[3][i] + buf[117] = buf[116] ^ pre[0][i] + buf[21] = buf[20] ^ pre[0][i] + buf[119] = buf[117] ^ pre[1][i] + buf[23] = buf[21] ^ pre[1][i] + buf[118] = buf[119] ^ pre[0][i] + buf[22] = buf[23] ^ pre[0][i] + buf[114] = buf[118] ^ pre[2][i] + buf[18] = buf[22] ^ pre[2][i] + buf[115] = buf[114] ^ pre[0][i] + buf[19] = buf[18] ^ pre[0][i] + buf[113] = buf[115] ^ pre[1][i] + buf[17] = buf[19] ^ pre[1][i] + buf[112] = buf[113] ^ pre[0][i] + buf[80] = buf[112] ^ pre[5][i] + buf[16] = in[0][i] ^ pre[4][i] + buf[81] = buf[80] ^ pre[0][i] + buf[48] = buf[16] ^ pre[5][i] + buf[83] = buf[81] ^ pre[1][i] + buf[49] = buf[48] ^ pre[0][i] + buf[82] = buf[83] ^ pre[0][i] + buf[51] = buf[49] ^ pre[1][i] + buf[86] = buf[82] ^ pre[2][i] + buf[50] = buf[51] ^ pre[0][i] + buf[87] = buf[86] ^ pre[0][i] + buf[54] = buf[50] ^ pre[2][i] + buf[85] = buf[87] ^ pre[1][i] + buf[55] = buf[54] ^ pre[0][i] + buf[84] = buf[85] ^ pre[0][i] + buf[53] = buf[55] ^ pre[1][i] + buf[92] = buf[84] ^ pre[3][i] + buf[52] = buf[53] ^ pre[0][i] + buf[93] = buf[92] ^ pre[0][i] + buf[60] = buf[52] ^ pre[3][i] + buf[95] = buf[93] ^ pre[1][i] + buf[61] = buf[60] ^ pre[0][i] + buf[94] = buf[95] ^ pre[0][i] + buf[63] = buf[61] ^ pre[1][i] + buf[90] = buf[94] ^ pre[2][i] + buf[62] = buf[63] ^ pre[0][i] + buf[91] = buf[90] ^ pre[0][i] + buf[58] = buf[62] ^ pre[2][i] + buf[89] = buf[91] ^ pre[1][i] + buf[59] = buf[58] ^ pre[0][i] + buf[88] = buf[89] ^ pre[0][i] + buf[57] = buf[59] ^ pre[1][i] + buf[72] = buf[88] ^ pre[4][i] + buf[56] = buf[57] ^ pre[0][i] + buf[73] = buf[72] ^ pre[0][i] + buf[40] = buf[56] ^ pre[4][i] + buf[75] = buf[73] ^ pre[1][i] + buf[41] = buf[40] ^ pre[0][i] + buf[74] = buf[75] ^ pre[0][i] + buf[43] = buf[41] ^ pre[1][i] + buf[78] = buf[74] ^ pre[2][i] + buf[42] = buf[43] ^ pre[0][i] + buf[79] = buf[78] ^ pre[0][i] + buf[46] = buf[42] ^ pre[2][i] + buf[77] = buf[79] ^ pre[1][i] + buf[47] = buf[46] ^ pre[0][i] + buf[76] = buf[77] ^ pre[0][i] + buf[45] = buf[47] ^ pre[1][i] + buf[68] = buf[76] ^ pre[3][i] + buf[44] = buf[45] ^ pre[0][i] + buf[69] = buf[68] ^ pre[0][i] + buf[36] = buf[44] ^ pre[3][i] + buf[71] = buf[69] ^ pre[1][i] + buf[37] = buf[36] ^ pre[0][i] + buf[70] = buf[71] ^ pre[0][i] + buf[39] = buf[37] ^ pre[1][i] + buf[66] = buf[70] ^ pre[2][i] + buf[38] = buf[39] ^ pre[0][i] + buf[67] = buf[66] ^ pre[0][i] + buf[34] = buf[38] ^ pre[2][i] + buf[65] = buf[67] ^ pre[1][i] + buf[35] = buf[34] ^ pre[0][i] + buf[33] = buf[35] ^ pre[1][i] + buf[64] = in[0][i] ^ pre[6][i] + + transpose64x64((*[64]uint64)(buf[:64]), (*[64]uint64)(buf[:64])) + transpose64x64((*[64]uint64)(buf[64:]), (*[64]uint64)(buf[64:])) + + for j := 0; j < 128; j++ { + out[internal.ButterfliesReversal[j]][i] = buf[j] + } + } + + for i := 1; i <= 6; i++ { + s := 1 << i + + for j := 0; j < 128; j += 2 * s { + for k := j; k < j+s; k++ { + vecMul(tmp[:], out[k+s][:], internal.ButterfliesConst[constsPtr+(k-j)][:]) + + for b := 0; b < gfBits; b++ { + out[k][b] ^= tmp[b] + } + for b := 0; b < gfBits; b++ { + out[k+s][b] ^= out[k][b] + } + } + } + + constsPtr += 1 << i + } + + // adding the part contributed by x^128 + for i := 0; i < 128; i++ { + for b := 0; b < gfBits; b++ { + out[i][b] ^= internal.Powers8192[i][b] + } + } +} diff --git a/kem/mceliece/mceliece8192128/pk_gen.go b/kem/mceliece/mceliece8192128/pk_gen.go index 970e76145..02c1adc77 100644 --- a/kem/mceliece/mceliece8192128/pk_gen.go +++ b/kem/mceliece/mceliece8192128/pk_gen.go @@ -1,13 +1,70 @@ -// Code generated from pk_gen.templ.go. DO NOT EDIT. +// Code generated from pk_gen_vec.templ.go. DO NOT EDIT. package mceliece8192128 import ( "github.com/cloudflare/circl/kem/mceliece/internal" - "github.com/cloudflare/circl/math/gf8192" ) -// TODO: Optimize the Gaussian Elimination loop, possibly by porting the `vec` Reference Implementation? +const exponent = 128 + +func deBitSlicing(out []uint64, in [][gfBits]uint64) { + for i := 0; i < (1 << gfBits); i++ { + out[i] = 0 + } + + for i := 0; i < exponent; i++ { + for j := gfBits - 1; j >= 0; j-- { + for r := 0; r < 64; r++ { + out[i*64+r] <<= 1 + out[i*64+r] |= (in[i][j] >> r) & 1 + } + } + } +} + +func toBitslicing2x(out0 [][gfBits]uint64, out1 [][gfBits]uint64, in []uint64) { + for i := 0; i < exponent; i++ { + for j := gfBits - 1; j >= 0; j-- { + for r := 63; r >= 0; r-- { + out1[i][j] <<= 1 + out1[i][j] |= (in[i*64+r] >> (j + gfBits)) & 1 + } + } + + for j := gfBits - 1; j >= 0; j-- { + for r := 63; r >= 0; r-- { + out0[i][gfBits-1-j] <<= 1 + out0[i][gfBits-1-j] |= (in[i*64+r] >> j) & 1 + } + } + } +} + +func irrLoad(out [][gfBits]uint64, in []byte) { + var ( + v0 uint64 + v1 uint64 + ) + irr := [sysT]uint16{} + + for i := 0; i < sysT; i++ { + irr[i] = loadGf(in[i*2:]) + } + + for i := 0; i < gfBits; i++ { + for j := 63; j >= 0; j-- { + v0 <<= 1 + v1 <<= 1 + v0 |= uint64(irr[j]>>i) & 1 + v1 |= uint64(irr[j+64]>>i) & 1 + } + + out[0][i] = v0 + out[1][i] = v1 + } +} + // nolint:unparam // Public key generation. Generate the public key `pk`, // permutation `pi` and pivot element `pivots` based on the @@ -15,117 +72,188 @@ import ( // `pk` has `max(1 << GFBITS, SYS_N)` elements which is // 4096 for mceliece348864 and 8192 for mceliece8192128. // `sk` has `2 * SYS_T` elements and perm `1 << GFBITS`. -func pkGen(pk *[pkNRows * pkRowBytes]byte, sk []byte, perm *[1 << gfBits]uint32, pi *[1 << gfBits]int16, pivots *uint64) bool { - buf := [1 << gfBits]uint64{} - mat := [pkNRows][sysN / 8]byte{} - g := [sysT + 1]gf{} - L := [sysN]gf{} - inv := [sysN]gf{} - - g[sysT] = 1 - for i := 0; i < sysT; i++ { - g[i] = loadGf(sk) - sk = sk[2:] - } +func pkGen(pk *[pkNRows * pkRowBytes]byte, irr []byte, perm *[1 << gfBits]uint32, pi *[1 << gfBits]int16, pivots *uint64) bool { + const ( + nblocksH = (sysN + 63) / 64 + nblocksI = (pkNRows + 63) / 64 + + blockIdx = nblocksI - 1 + tail = pkNRows % 64 + ) + mat := [pkNRows][nblocksH]uint64{} + ops := [pkNRows][nblocksI]uint64{} + var mask uint64 + + irrInt := [2][gfBits]uint64{} + + consts := [exponent][gfBits]uint64{} + eval := [exponent][gfBits]uint64{} + prod := [exponent][gfBits]uint64{} + tmp := [gfBits]uint64{} + list := [1 << gfBits]uint64{} - for i := 0; i < 1<= 0; i-- { + vecMul(prod[i+1][:], prod[i][:], tmp[:]) + vecMul(tmp[:], tmp[:], eval[i+1][:]) } + vecCopy(prod[0][:], tmp[:]) - internal.UInt64Sort(buf[:], 1<> 31) == (buf[i] >> 31) { + if (list[i-1] >> 31) == (list[i] >> 31) { return false } } + toBitslicing2x(consts[:], prod[:], list[:]) for i := 0; i < (1 << gfBits); i++ { - pi[i] = int16(buf[i] & gfMask) - } - - for i := 0; i < sysN; i++ { - L[i] = bitRev(gf(pi[i])) + pi[i] = int16(list[i] & gfMask) } - // filling the matrix - root(&inv, &g, &L) - - for i := 0; i < sysN; i++ { - inv[i] = gf8192.Inv(inv[i]) + for j := 0; j < nblocksI; j++ { + for k := 0; k < gfBits; k++ { + mat[k][j] = prod[j][k] + } } - for i := 0; i < sysT; i++ { - for j := 0; j < sysN; j += 8 { + for i := 1; i < sysT; i++ { + for j := 0; j < nblocksI; j++ { + vecMul(prod[j][:], prod[j][:], consts[j][:]) for k := 0; k < gfBits; k++ { - b := byte(inv[j+7]>>k) & 1 - b <<= 1 - b |= byte(inv[j+6]>>k) & 1 - b <<= 1 - b |= byte(inv[j+5]>>k) & 1 - b <<= 1 - b |= byte(inv[j+4]>>k) & 1 - b <<= 1 - b |= byte(inv[j+3]>>k) & 1 - b <<= 1 - b |= byte(inv[j+2]>>k) & 1 - b <<= 1 - b |= byte(inv[j+1]>>k) & 1 - b <<= 1 - b |= byte(inv[j+0]>>k) & 1 - - mat[i*gfBits+k][j/8] = b + mat[i*gfBits+k][j] = prod[j][k] } } - - for j := 0; j < sysN; j++ { - inv[j] = gf8192.Mul(inv[j], L[j]) - } } - // gaussian elimination - for i := 0; i < (pkNRows+7)/8; i++ { - for j := 0; j < 8; j++ { - row := i*8 + j + // gaussian elimination to obtain an upper triangular matrix + // and keep track of the operations in ops - if row >= pkNRows { - break + for i := 0; i < pkNRows/64; i++ { + for j := 0; j < 64; j++ { + row := i*64 + j + for c := 0; c < pkNRows/64; c++ { + ops[row][c] = 0 } + } + } + for i := 0; i < pkNRows/64; i++ { + for j := 0; j < 64; j++ { + row := i*64 + j + ops[row][i] = 1 + ops[row][i] <<= j + } + } + + for i := 0; i < pkNRows/64; i++ { + for j := 0; j < 64; j++ { + row := i*64 + j for k := row + 1; k < pkNRows; k++ { - mask := mat[row][i] ^ mat[k][i] - mask >>= j + mask = mat[row][i] >> j mask &= 1 - mask = -mask + mask -= 1 - for c := 0; c < sysN/8; c++ { + for c := 0; c < nblocksI; c++ { mat[row][c] ^= mat[k][c] & mask + ops[row][c] ^= ops[k][c] & mask } } - // return if not systematic if ((mat[row][i] >> j) & 1) == 0 { return false } - for k := 0; k < pkNRows; k++ { - if k != row { - mask := mat[k][i] >> j + for k := row + 1; k < pkNRows; k++ { + mask = mat[k][i] >> j + mask &= 1 + mask = -mask + + for c := 0; c < nblocksI; c++ { + mat[k][c] ^= mat[row][c] & mask + ops[k][c] ^= ops[row][c] & mask + } + } + } + } + + // computing the lineaer map required to obatin the systematic form + + for i := pkNRows/64 - 1; i >= 0; i-- { + for j := 63; j >= 0; j-- { + row := i*64 + j + for k := 0; k < row; k++ { + mask = mat[k][i] >> j + mask &= 1 + mask = -mask + + for c := 0; c < pkNRows/64; c++ { + ops[k][c] ^= ops[row][c] & mask + } + } + } + } + + // apply the linear map to the non-systematic part + for j := nblocksI; j < nblocksH; j++ { + for k := 0; k < gfBits; k++ { + mat[k][j] = prod[j][k] + } + } + + for i := 1; i < sysT; i++ { + for j := nblocksI; j < nblocksH; j++ { + vecMul(prod[j][:], prod[j][:], consts[j][:]) + for k := 0; k < gfBits; k++ { + mat[i*gfBits+k][j] = prod[j][k] + } + } + } + + pkp := pk[:] + + for i := 0; i < pkNRows/64; i++ { + for j := 0; j < 64; j++ { + row := i*64 + j + + for k := 0; k < pkNCols/64; k++ { + oneRow[k] = 0 + } + + for c := 0; c < pkNRows/64; c++ { + for d := 0; d < 64; d++ { + mask = ops[row][c] >> d mask &= 1 mask = -mask - for c := 0; c < sysN/8; c++ { - mat[k][c] ^= mat[row][c] & mask + for k := 0; k < pkNCols/64; k++ { + oneRow[k] ^= mat[c*64+d][k+pkNRows/64] & mask } } } - } - } - for i := 0; i < pkNRows; i++ { - copy(pk[i*pkRowBytes:], mat[i][pkNRows/8:pkNRows/8+pkRowBytes]) + for k := 0; k < pkNCols/64; k++ { + store8(pkp, oneRow[k]) + pkp = pkp[8:] + } + } } return true diff --git a/kem/mceliece/mceliece8192128/vec.go b/kem/mceliece/mceliece8192128/vec.go new file mode 100644 index 000000000..49a4ce63c --- /dev/null +++ b/kem/mceliece/mceliece8192128/vec.go @@ -0,0 +1,129 @@ +// Code generated from vec.templ.go. DO NOT EDIT. + +package mceliece8192128 + +func vecMul(h, f, g []uint64) { + buf := [2*gfBits - 1]uint64{} + + for i := 0; i < 2*gfBits-1; i++ { + buf[i] = 0 + } + + for i := 0; i < gfBits; i++ { + for j := 0; j < gfBits; j++ { + buf[i+j] ^= f[i] & g[j] + } + } + + for i := 2*gfBits - 2; i >= gfBits; i-- { + + buf[i-gfBits+4] ^= buf[i] + buf[i-gfBits+3] ^= buf[i] + buf[i-gfBits+1] ^= buf[i] + buf[i-gfBits+0] ^= buf[i] + + } + + for i := 0; i < gfBits; i++ { + h[i] = buf[i] + } +} + +/* bitsliced field squarings */ +func vecSq(out, in []uint64) { + result := [gfBits]uint64{} + + t := in[11] ^ in[12] + + result[0] = in[0] ^ in[11] + result[1] = in[7] ^ t + result[2] = in[1] ^ in[7] + result[3] = in[8] ^ t + result[4] = in[2] ^ in[7] + result[4] = result[4] ^ in[8] + result[4] = result[4] ^ t + result[5] = in[7] ^ in[9] + result[6] = in[3] ^ in[8] + result[6] = result[6] ^ in[9] + result[6] = result[6] ^ in[12] + result[7] = in[8] ^ in[10] + result[8] = in[4] ^ in[9] + result[8] = result[8] ^ in[10] + result[9] = in[9] ^ in[11] + result[10] = in[5] ^ in[10] + result[10] = result[10] ^ in[11] + result[11] = in[10] ^ in[12] + result[12] = in[6] ^ t + + for i := 0; i < gfBits; i++ { + out[i] = result[i] + } +} + +/* bitsliced field inverses */ +func vecInv(out, in []uint64) { + tmp11 := [gfBits]uint64{} + tmp1111 := [gfBits]uint64{} + + vecCopy(out, in) + + vecSq(out, out) + vecMul(tmp11[:], out, in) // ^11 + + vecSq(out, tmp11[:]) + vecSq(out, out) + vecMul(tmp1111[:], out, tmp11[:]) // ^1111 + + vecSq(out, tmp1111[:]) + vecSq(out, out) + vecSq(out, out) + vecSq(out, out) + vecMul(out, out, tmp1111[:]) // ^11111111 + + vecSq(out, out) + vecSq(out, out) + vecSq(out, out) + vecSq(out, out) + vecMul(out, out, tmp1111[:]) // ^111111111111 + + vecSq(out, out) // ^1111111111110 +} + +func vecSetBits(b uint64) uint64 { + ret := -b + return ret +} + +func vecSet116b(v uint16) uint64 { + ret := uint64(v) + ret |= ret << 16 + ret |= ret << 32 + + return ret +} + +func vecCopy(out, in []uint64) { + for i := 0; i < gfBits; i++ { + out[i] = in[i] + } +} + +func vecOrReduce(a []uint64) uint64 { + ret := a[0] + for i := 1; i < gfBits; i++ { + ret |= a[i] + } + + return ret +} + +func vecTestZ(a uint64) int { + a |= a >> 32 + a |= a >> 16 + a |= a >> 8 + a |= a >> 4 + a |= a >> 2 + a |= a >> 1 + + return int((a & 1) ^ 1) +} diff --git a/kem/mceliece/templates/fft_other.templ.go b/kem/mceliece/templates/fft_other.templ.go new file mode 100644 index 000000000..3b5889958 --- /dev/null +++ b/kem/mceliece/templates/fft_other.templ.go @@ -0,0 +1,218 @@ +// +build ignore +// The previous line (and this one up to the warning below) is removed by the +// template generator. + +// Code generated from fft_other.templ.go. DO NOT EDIT. + +package {{.Pkg}} + +import "github.com/cloudflare/circl/kem/mceliece/internal" + +func fft(out [][gfBits]uint64, in [][gfBits]uint64) { + radixConversions(in) + butterflies(out, in) +} + +func radixConversions(in [][gfBits]uint64) { + for j := 0; j <= 5; j++ { + for i := 0; i < gfBits; i++ { + in[1][i] ^= in[1][i] >> 32 + in[0][i] ^= in[1][i] << 32 + } + + for i := 0; i < gfBits; i++ { + for k := 4; k >= j; k-- { + in[0][i] ^= (in[0][i] & internal.RadixConversionsMask[k][0]) >> (1 << k) + in[0][i] ^= (in[0][i] & internal.RadixConversionsMask[k][1]) >> (1 << k) + in[1][i] ^= (in[1][i] & internal.RadixConversionsMask[k][0]) >> (1 << k) + in[1][i] ^= (in[1][i] & internal.RadixConversionsMask[k][1]) >> (1 << k) + } + } + + if j < 5 { + vecMul(in[0][:], in[0][:], internal.RadixConversionsS[j][0][:]) + vecMul(in[1][:], in[1][:], internal.RadixConversionsS[j][1][:]) + } + } +} + +func butterflies(out [][gfBits]uint64, in [][gfBits]uint64) { + tmp := [gfBits]uint64{} + pre := [8][gfBits]uint64{} + buf := [128]uint64{} + constsPtr := 2 + for i := 0; i < 7; i++ { + for j := 0; j < gfBits; j++ { + pre[i][j] = uint64(internal.ButterfliesBeta[i]>>j) & 1 + pre[i][j] = -pre[i][j] + } + + vecMul(pre[i][:], in[1][:], pre[i][:]) + } + for i := 0; i < gfBits; i++ { + buf[0] = in[0][i] + + buf[1] = buf[0] ^ pre[0][i] + buf[32] = in[0][i] ^ pre[5][i] + buf[3] = buf[1] ^ pre[1][i] + buf[96] = buf[32] ^ pre[6][i] + buf[97] = buf[96] ^ pre[0][i] + buf[2] = in[0][i] ^ pre[1][i] + buf[99] = buf[97] ^ pre[1][i] + buf[6] = buf[2] ^ pre[2][i] + buf[98] = buf[99] ^ pre[0][i] + buf[7] = buf[6] ^ pre[0][i] + buf[102] = buf[98] ^ pre[2][i] + buf[5] = buf[7] ^ pre[1][i] + buf[103] = buf[102] ^ pre[0][i] + buf[101] = buf[103] ^ pre[1][i] + buf[4] = in[0][i] ^ pre[2][i] + buf[100] = buf[101] ^ pre[0][i] + buf[12] = buf[4] ^ pre[3][i] + buf[108] = buf[100] ^ pre[3][i] + buf[13] = buf[12] ^ pre[0][i] + buf[109] = buf[108] ^ pre[0][i] + buf[15] = buf[13] ^ pre[1][i] + buf[111] = buf[109] ^ pre[1][i] + buf[14] = buf[15] ^ pre[0][i] + buf[110] = buf[111] ^ pre[0][i] + buf[10] = buf[14] ^ pre[2][i] + buf[106] = buf[110] ^ pre[2][i] + buf[11] = buf[10] ^ pre[0][i] + buf[107] = buf[106] ^ pre[0][i] + buf[9] = buf[11] ^ pre[1][i] + buf[105] = buf[107] ^ pre[1][i] + buf[104] = buf[105] ^ pre[0][i] + buf[8] = in[0][i] ^ pre[3][i] + buf[120] = buf[104] ^ pre[4][i] + buf[24] = buf[8] ^ pre[4][i] + buf[121] = buf[120] ^ pre[0][i] + buf[25] = buf[24] ^ pre[0][i] + buf[123] = buf[121] ^ pre[1][i] + buf[27] = buf[25] ^ pre[1][i] + buf[122] = buf[123] ^ pre[0][i] + buf[26] = buf[27] ^ pre[0][i] + buf[126] = buf[122] ^ pre[2][i] + buf[30] = buf[26] ^ pre[2][i] + buf[127] = buf[126] ^ pre[0][i] + buf[31] = buf[30] ^ pre[0][i] + buf[125] = buf[127] ^ pre[1][i] + buf[29] = buf[31] ^ pre[1][i] + buf[124] = buf[125] ^ pre[0][i] + buf[28] = buf[29] ^ pre[0][i] + buf[116] = buf[124] ^ pre[3][i] + buf[20] = buf[28] ^ pre[3][i] + buf[117] = buf[116] ^ pre[0][i] + buf[21] = buf[20] ^ pre[0][i] + buf[119] = buf[117] ^ pre[1][i] + buf[23] = buf[21] ^ pre[1][i] + buf[118] = buf[119] ^ pre[0][i] + buf[22] = buf[23] ^ pre[0][i] + buf[114] = buf[118] ^ pre[2][i] + buf[18] = buf[22] ^ pre[2][i] + buf[115] = buf[114] ^ pre[0][i] + buf[19] = buf[18] ^ pre[0][i] + buf[113] = buf[115] ^ pre[1][i] + buf[17] = buf[19] ^ pre[1][i] + buf[112] = buf[113] ^ pre[0][i] + buf[80] = buf[112] ^ pre[5][i] + buf[16] = in[0][i] ^ pre[4][i] + buf[81] = buf[80] ^ pre[0][i] + buf[48] = buf[16] ^ pre[5][i] + buf[83] = buf[81] ^ pre[1][i] + buf[49] = buf[48] ^ pre[0][i] + buf[82] = buf[83] ^ pre[0][i] + buf[51] = buf[49] ^ pre[1][i] + buf[86] = buf[82] ^ pre[2][i] + buf[50] = buf[51] ^ pre[0][i] + buf[87] = buf[86] ^ pre[0][i] + buf[54] = buf[50] ^ pre[2][i] + buf[85] = buf[87] ^ pre[1][i] + buf[55] = buf[54] ^ pre[0][i] + buf[84] = buf[85] ^ pre[0][i] + buf[53] = buf[55] ^ pre[1][i] + buf[92] = buf[84] ^ pre[3][i] + buf[52] = buf[53] ^ pre[0][i] + buf[93] = buf[92] ^ pre[0][i] + buf[60] = buf[52] ^ pre[3][i] + buf[95] = buf[93] ^ pre[1][i] + buf[61] = buf[60] ^ pre[0][i] + buf[94] = buf[95] ^ pre[0][i] + buf[63] = buf[61] ^ pre[1][i] + buf[90] = buf[94] ^ pre[2][i] + buf[62] = buf[63] ^ pre[0][i] + buf[91] = buf[90] ^ pre[0][i] + buf[58] = buf[62] ^ pre[2][i] + buf[89] = buf[91] ^ pre[1][i] + buf[59] = buf[58] ^ pre[0][i] + buf[88] = buf[89] ^ pre[0][i] + buf[57] = buf[59] ^ pre[1][i] + buf[72] = buf[88] ^ pre[4][i] + buf[56] = buf[57] ^ pre[0][i] + buf[73] = buf[72] ^ pre[0][i] + buf[40] = buf[56] ^ pre[4][i] + buf[75] = buf[73] ^ pre[1][i] + buf[41] = buf[40] ^ pre[0][i] + buf[74] = buf[75] ^ pre[0][i] + buf[43] = buf[41] ^ pre[1][i] + buf[78] = buf[74] ^ pre[2][i] + buf[42] = buf[43] ^ pre[0][i] + buf[79] = buf[78] ^ pre[0][i] + buf[46] = buf[42] ^ pre[2][i] + buf[77] = buf[79] ^ pre[1][i] + buf[47] = buf[46] ^ pre[0][i] + buf[76] = buf[77] ^ pre[0][i] + buf[45] = buf[47] ^ pre[1][i] + buf[68] = buf[76] ^ pre[3][i] + buf[44] = buf[45] ^ pre[0][i] + buf[69] = buf[68] ^ pre[0][i] + buf[36] = buf[44] ^ pre[3][i] + buf[71] = buf[69] ^ pre[1][i] + buf[37] = buf[36] ^ pre[0][i] + buf[70] = buf[71] ^ pre[0][i] + buf[39] = buf[37] ^ pre[1][i] + buf[66] = buf[70] ^ pre[2][i] + buf[38] = buf[39] ^ pre[0][i] + buf[67] = buf[66] ^ pre[0][i] + buf[34] = buf[38] ^ pre[2][i] + buf[65] = buf[67] ^ pre[1][i] + buf[35] = buf[34] ^ pre[0][i] + buf[33] = buf[35] ^ pre[1][i] + buf[64] = in[0][i] ^ pre[6][i] + + transpose64x64((*[64]uint64)(buf[:64]), (*[64]uint64)(buf[:64])) + transpose64x64((*[64]uint64)(buf[64:]), (*[64]uint64)(buf[64:])) + + for j := 0; j < 128; j++ { + out[internal.ButterfliesReversal[j]][i] = buf[j] + } + } + + for i := 1; i <= 6; i++ { + s := 1 << i + + for j := 0; j < 128; j += 2 * s { + for k := j; k < j+s; k++ { + vecMul(tmp[:], out[k+s][:], internal.ButterfliesConst[constsPtr+(k-j)][:]) + + for b := 0; b < gfBits; b++ { + out[k][b] ^= tmp[b] + } + for b := 0; b < gfBits; b++ { + out[k+s][b] ^= out[k][b] + } + } + } + + constsPtr += 1 << i + } + + {{ if or .Is6688128 .Is8192128 }} + // adding the part contributed by x^128 + for i := 0; i < 128; i++ { + for b := 0; b < gfBits; b++ { + out[i][b] ^= internal.Powers8192[i][b] + } + } + {{end}} +} \ No newline at end of file diff --git a/kem/mceliece/templates/pk_gen_vec.templ.go b/kem/mceliece/templates/pk_gen_vec.templ.go new file mode 100644 index 000000000..879ed3439 --- /dev/null +++ b/kem/mceliece/templates/pk_gen_vec.templ.go @@ -0,0 +1,413 @@ +// +build ignore +// The previous line (and this one up to the warning below) is removed by the +// template generator. + +// Code generated from pk_gen_vec.templ.go. DO NOT EDIT. + +package {{.Pkg}} + +import ( + "github.com/cloudflare/circl/kem/mceliece/internal" +) + +{{ if .Is348864 }} +const exponent = 64 +{{ else }} +const exponent = 128 +{{ end }} + +{{ if not .Is8192128 }} +func storeI(out []byte, in uint64, i int) { + for j := 0; j < i; j++ { + out[j] = byte((in >> (j * 8)) & 0xFF) + } +} +{{end}} + +func deBitSlicing(out []uint64, in [][gfBits]uint64) { + for i := 0; i < (1 << gfBits); i++ { + out[i] = 0 + } + + for i := 0; i < exponent; i++ { + for j := gfBits - 1; j >= 0; j-- { + for r := 0; r < 64; r++ { + out[i*64+r] <<= 1 + out[i*64+r] |= (in[i][j] >> r) & 1 + } + } + } +} + +func toBitslicing2x(out0 [][gfBits]uint64, out1 [][gfBits]uint64, in []uint64) { + for i := 0; i < exponent; i++ { + for j := gfBits - 1; j >= 0; j-- { + for r := 63; r >= 0; r-- { + out1[i][j] <<= 1 + out1[i][j] |= (in[i*64+r] >> (j + gfBits)) & 1 + } + } + + for j := gfBits - 1; j >= 0; j-- { + for r := 63; r >= 0; r-- { + out0[i][gfBits-1-j] <<= 1 + out0[i][gfBits-1-j] |= (in[i*64+r] >> j) & 1 + } + } + } +} + +{{ if or .Is6688128 .Is8192128 }} +func irrLoad(out [][gfBits]uint64, in []byte) { + var ( + v0 uint64 + v1 uint64 + ) + irr := [sysT]uint16{} + + for i := 0; i < sysT; i++ { + irr[i] = loadGf(in[i*2:]) + } + + for i := 0; i < gfBits; i++ { + for j := 63; j >= 0; j-- { + v0 <<= 1 + v1 <<= 1 + v0 |= uint64(irr[j]>>i) & 1 + v1 |= uint64(irr[j+64]>>i) & 1 + } + + out[0][i] = v0 + out[1][i] = v1 + } +} +{{else}} +{{ if .Is348864 }} +func irrLoad(out []uint64, in []byte) { +{{else}} +func irrLoad(out [][gfBits]uint64, in []byte) { +{{end}} + irr := [sysT + 1]uint16{} + + for i := 0; i < sysT; i++ { + irr[i] = loadGf(in[i*2:]) + } + + irr[sysT] = 1 + {{ if .Is348864 }} + for i := 0; i < gfBits; i++ { + out[i] = 0; + } + + for i := sysT; i >= 0; i-- { + for j := 0; j < gfBits; j++ { + out[j] <<= 1; + out[j] |= uint64(irr[i] >> j) & 1; + } + } + {{ else }} + v := [2]uint64{} + for i := 0; i < gfBits; i++ { + v[0] = 0 + v[1] = 0 + + for j := 63; j >= 0; j-- { + v[0] <<= 1 + v[0] |= uint64(irr[j]>>i) & 1 + } + for j := sysT; j >= 64; j-- { + v[1] <<= 1 + v[1] |= uint64(irr[j]>>i) & 1 + } + + out[0][i] = v[0] + out[1][i] = v[1] + } + {{ end }} +} +{{end}} + +// nolint:unparam +// Public key generation. Generate the public key `pk`, +// permutation `pi` and pivot element `pivots` based on the +// secret key `sk` and permutation `perm` provided. +// `pk` has `max(1 << GFBITS, SYS_N)` elements which is +// 4096 for mceliece348864 and 8192 for mceliece8192128. +// `sk` has `2 * SYS_T` elements and perm `1 << GFBITS`. +func pkGen(pk *[pkNRows * pkRowBytes]byte, irr []byte, perm *[1 << gfBits]uint32, pi *[1 << gfBits]int16, pivots *uint64) bool { + const ( + nblocksH = (sysN + 63) / 64 + nblocksI = (pkNRows + 63) / 64 + {{ if or .Is348864 .Is6688128 }} + blockIdx = nblocksI + {{ else }} + blockIdx = nblocksI - 1 + tail = pkNRows % 64 + {{ end }} + ) + mat := [pkNRows][nblocksH]uint64{} + ops := [pkNRows][nblocksI]uint64{} + var mask uint64 + {{ if .Is348864 }} + irrInt := [gfBits]uint64{} + {{ else }} + irrInt := [2][gfBits]uint64{} + {{ end }} + consts := [exponent][gfBits]uint64{} + eval := [exponent][gfBits]uint64{} + prod := [exponent][gfBits]uint64{} + tmp := [gfBits]uint64{} + list := [1 << gfBits]uint64{} + {{ if .Is8192128 }} + oneRow := [pkNCols / 64]uint64{} + {{ else }} + oneRow := [exponent]uint64{} + {{ end }} + + // compute the inverses + irrLoad(irrInt[:], irr) + fft(eval[:], irrInt[:]) + vecCopy(prod[0][:], eval[0][:]) + for i := 1; i < exponent; i++ { + vecMul(prod[i][:], prod[i-1][:], eval[i][:]) + } + vecInv(tmp[:], prod[exponent-1][:]) + for i := exponent-2; i >= 0; i-- { + vecMul(prod[i+1][:], prod[i][:], tmp[:]) + vecMul(tmp[:], tmp[:], eval[i+1][:]) + } + vecCopy(prod[0][:], tmp[:]) + + // fill matrix + deBitSlicing(list[:], prod[:]) + for i := uint64(0); i < (1 << gfBits); i++ { + list[i] <<= gfBits + list[i] |= i + list[i] |= (uint64(perm[i])) << 31 + } + internal.UInt64Sort(list[:], 1<> 31) == (list[i] >> 31) { + return false + } + } + toBitslicing2x(consts[:], prod[:], list[:]) + + for i := 0; i < (1 << gfBits); i++ { + pi[i] = int16(list[i] & gfMask) + } + + for j := 0; j < nblocksI; j++ { + for k := 0; k < gfBits; k++ { + mat[k][j] = prod[j][k] + } + } + + for i := 1; i < sysT; i++ { + for j := 0; j < nblocksI; j++ { + vecMul(prod[j][:], prod[j][:], consts[j][:]) + for k := 0; k < gfBits; k++ { + mat[i*gfBits+k][j] = prod[j][k] + } + } + } + + // gaussian elimination to obtain an upper triangular matrix + // and keep track of the operations in ops + {{ if .Is8192128 }} + for i := 0; i < pkNRows/64; i++ { + for j := 0; j < 64; j++ { + row := i*64 + j + for c := 0; c < pkNRows/64; c++ { + ops[row][c] = 0 + } + } + } + for i := 0; i < pkNRows/64; i++ { + for j := 0; j < 64; j++ { + row := i*64 + j + ops[row][i] = 1 + ops[row][i] <<= j + } + } + {{ else }} + for i := 0; i < pkNRows; i++ { + for j := 0; j < nblocksI; j++ { + ops[i][j] = 0 + } + } + for i := 0; i < pkNRows; i++ { + ops[i][i/64] = 1 + ops[i][i/64] <<= (i % 64) + } + + {{ if not (or .Is348864 .Is6688128) }} + column := [pkNRows]uint64{} + for i := 0; i < pkNRows; i++ { + column[i] = mat[i][blockIdx] + } + {{ end }} + {{ end }} + + + {{ if .Is8192128 }} + for i := 0; i < pkNRows/64; i++ { + for j := 0; j < 64; j++ { + row := i*64 + j + {{ else }} + for row := 0; row < pkNRows; row++ { + i := row >> 6 + j := row & 63 + {{ end }} + + for k := row + 1; k < pkNRows; k++ { + mask = mat[row][i] >> j + mask &= 1 + mask -= 1 + + for c := 0; c < nblocksI; c++ { + mat[row][c] ^= mat[k][c] & mask + ops[row][c] ^= ops[k][c] & mask + } + } + // return if not systematic + if ((mat[row][i] >> j) & 1) == 0 { + return false + } + + for k := row + 1; k < pkNRows; k++ { + mask = mat[k][i] >> j + mask &= 1 + mask = -mask + + for c := 0; c < nblocksI; c++ { + mat[k][c] ^= mat[row][c] & mask + ops[k][c] ^= ops[row][c] & mask + } + } + } + {{ if .Is8192128 }} + } + {{ end }} + + + // computing the lineaer map required to obatin the systematic form + {{ if .Is8192128 }} + for i := pkNRows/64 - 1; i >= 0; i-- { + for j := 63; j >= 0; j-- { + row := i*64 + j + for k := 0; k < row; k++ { + mask = mat[k][i] >> j + mask &= 1 + mask = -mask + + for c := 0; c < pkNRows/64; c++ { + ops[k][c] ^= ops[row][c] & mask + } + } + } + } + {{else}} + for row := pkNRows - 1; row >= 0; row-- { + for k := 0; k < row; k++ { + mask = mat[k][row/64] >> (row & 63) + mask &= 1 + mask = -mask + + for c := 0; c < nblocksI; c++ { + ops[k][c] ^= ops[row][c] & mask + } + } + } + {{end}} + + // apply the linear map to the non-systematic part + for j := nblocksI; j < nblocksH; j++ { + for k := 0; k < gfBits; k++ { + mat[k][j] = prod[j][k] + } + } + + for i := 1; i < sysT; i++ { + for j := nblocksI; j < nblocksH; j++ { + vecMul(prod[j][:], prod[j][:], consts[j][:]) + for k := 0; k < gfBits; k++ { + mat[i*gfBits+k][j] = prod[j][k] + } + } + } + + pkp := pk[:] + + {{ if .Is8192128 }} + for i := 0; i < pkNRows/64; i++ { + for j := 0; j < 64; j++ { + row := i*64 + j + + for k := 0; k < pkNCols/64; k++ { + oneRow[k] = 0 + } + + for c := 0; c < pkNRows/64; c++ { + for d := 0; d < 64; d++ { + mask = ops[row][c] >> d + mask &= 1 + mask = -mask + + for k := 0; k < pkNCols/64; k++ { + oneRow[k] ^= mat[c*64+d][k+pkNRows/64] & mask + } + } + } + + for k := 0; k < pkNCols/64; k++ { + store8(pkp, oneRow[k]) + pkp = pkp[8:] + } + } + } + {{ else }} + {{ if not (or .Is348864 .Is6688128) }} + for i := 0; i < pkNRows; i++ { + mat[i][blockIdx] = column[i] + } + {{end}} + for row := 0; row < pkNRows; row++ { + for k := 0; k < nblocksH; k++ { + oneRow[k] = 0 + } + + for c := 0; c < pkNRows; c++ { + mask = ops[row][c>>6] >> (c & 63) + mask &= 1 + mask = -mask + + for k := blockIdx; k < nblocksH; k++ { + oneRow[k] ^= mat[c][k] & mask + } + } + + var k int + for k = blockIdx; k < nblocksH-1; k++ { + {{ if not (or .Is348864 .Is6688128) }} + oneRow[k] = (oneRow[k] >> tail) | (oneRow[k+1] << (64 - tail)) + {{end}} + store8(pkp, oneRow[k]) + pkp = pkp[8:] + } + + {{ if not (or .Is348864 .Is6688128) }} + oneRow[k] >>= tail + {{end}} + storeI(pkp, oneRow[k], pkRowBytes%8) + + {{if .Is6960119}} + pkp[(pkRowBytes%8)-1] &= (1 << (pkNCols % 8)) - 1 // removing redundant bits + {{end}} + + pkp = pkp[pkRowBytes%8:] + } + {{ end }} + return true +} diff --git a/kem/mceliece/templates/vec.templ.go b/kem/mceliece/templates/vec.templ.go new file mode 100644 index 000000000..32b5735fb --- /dev/null +++ b/kem/mceliece/templates/vec.templ.go @@ -0,0 +1,162 @@ +// +build ignore +// The previous line (and this one up to the warning below) is removed by the +// template generator. + +// Code generated from vec.templ.go. DO NOT EDIT. + +package {{.Pkg}} + +func vecMul(h, f, g []uint64) { + buf := [2*gfBits - 1]uint64{} + + for i := 0; i < 2*gfBits-1; i++ { + buf[i] = 0 + } + + for i := 0; i < gfBits; i++ { + for j := 0; j < gfBits; j++ { + buf[i+j] ^= f[i] & g[j] + } + } + + for i := 2*gfBits - 2; i >= gfBits; i-- { + {{ if .Is348864 }} + buf[i-gfBits+3] ^= buf[i] + buf[i-gfBits+0] ^= buf[i] + {{ else }} + buf[i-gfBits+4] ^= buf[i] + buf[i-gfBits+3] ^= buf[i] + buf[i-gfBits+1] ^= buf[i] + buf[i-gfBits+0] ^= buf[i] + {{ end }} + } + + for i := 0; i < gfBits; i++ { + h[i] = buf[i] + } +} + +/* bitsliced field squarings */ +func vecSq(out, in []uint64) { + result := [gfBits]uint64{} + + {{ if .Is348864 }} + result[0] = in[0] ^ in[6] + result[1] = in[11] + result[2] = in[1] ^ in[7] + result[3] = in[6] + result[4] = in[2] ^ in[11] ^ in[8] + result[5] = in[7] + result[6] = in[3] ^ in[9] + result[7] = in[8] + result[8] = in[4] ^ in[10] + result[9] = in[9] + result[10] = in[5] ^ in[11] + result[11] = in[10] + {{ else }} + t := in[11] ^ in[12] + + result[0] = in[0] ^ in[11] + result[1] = in[7] ^ t + result[2] = in[1] ^ in[7] + result[3] = in[8] ^ t + result[4] = in[2] ^ in[7] + result[4] = result[4] ^ in[8] + result[4] = result[4] ^ t + result[5] = in[7] ^ in[9] + result[6] = in[3] ^ in[8] + result[6] = result[6] ^ in[9] + result[6] = result[6] ^ in[12] + result[7] = in[8] ^ in[10] + result[8] = in[4] ^ in[9] + result[8] = result[8] ^ in[10] + result[9] = in[9] ^ in[11] + result[10] = in[5] ^ in[10] + result[10] = result[10] ^ in[11] + result[11] = in[10] ^ in[12] + result[12] = in[6] ^ t + {{ end }} + + for i := 0; i < gfBits; i++ { + out[i] = result[i] + } +} + +/* bitsliced field inverses */ +func vecInv(out, in []uint64) { + tmp11 := [gfBits]uint64{} + tmp1111 := [gfBits]uint64{} + + vecCopy(out, in) + + vecSq(out, out) + vecMul(tmp11[:], out, in) // ^11 + + vecSq(out, tmp11[:]) + vecSq(out, out) + vecMul(tmp1111[:], out, tmp11[:]) // ^1111 + + vecSq(out, tmp1111[:]) + vecSq(out, out) + vecSq(out, out) + vecSq(out, out) + vecMul(out, out, tmp1111[:]) // ^11111111 + + {{ if .Is348864 }} + vecSq(out, out); + vecSq(out, out); + vecMul(out, out, tmp11[:]); // 1111111111 + + vecSq(out, out); + vecMul(out, out, in); // 11111111111 + + vecSq(out, out); // 111111111110 + {{ else }} + vecSq(out, out) + vecSq(out, out) + vecSq(out, out) + vecSq(out, out) + vecMul(out, out, tmp1111[:]) // ^111111111111 + + vecSq(out, out) // ^1111111111110 + {{ end }} +} + +func vecSetBits(b uint64) uint64 { + ret := -b + return ret +} + +func vecSet116b(v uint16) uint64 { + ret := uint64(v) + ret |= ret << 16 + ret |= ret << 32 + + return ret +} + +func vecCopy(out, in []uint64) { + for i := 0; i < gfBits; i++ { + out[i] = in[i] + } +} + +func vecOrReduce(a []uint64) uint64 { + ret := a[0] + for i := 1; i < gfBits; i++ { + ret |= a[i] + } + + return ret +} + +func vecTestZ(a uint64) int { + a |= a >> 32 + a |= a >> 16 + a |= a >> 8 + a |= a >> 4 + a |= a >> 2 + a |= a >> 1 + + return int((a & 1) ^ 1) +} From ecb22e79c145f2d730f24114f01be4f314d9bf0d Mon Sep 17 00:00:00 2001 From: octeep Date: Fri, 14 Oct 2022 06:19:50 +0100 Subject: [PATCH 07/14] pass pointers instead of slices --- kem/mceliece/mceliece348864/fft.go | 13 +++++--- kem/mceliece/mceliece348864/pk_gen.go | 33 ++++++++++--------- kem/mceliece/mceliece348864/vec.go | 29 +++++++++-------- kem/mceliece/mceliece460896/fft.go | 17 ++++++---- kem/mceliece/mceliece460896/pk_gen.go | 33 ++++++++++--------- kem/mceliece/mceliece460896/vec.go | 29 +++++++++-------- kem/mceliece/mceliece6688128/fft.go | 17 ++++++---- kem/mceliece/mceliece6688128/pk_gen.go | 33 ++++++++++--------- kem/mceliece/mceliece6688128/vec.go | 29 +++++++++-------- kem/mceliece/mceliece6960119/fft.go | 17 ++++++---- kem/mceliece/mceliece6960119/pk_gen.go | 33 ++++++++++--------- kem/mceliece/mceliece6960119/vec.go | 29 +++++++++-------- kem/mceliece/mceliece8192128/fft.go | 17 ++++++---- kem/mceliece/mceliece8192128/pk_gen.go | 33 ++++++++++--------- kem/mceliece/mceliece8192128/vec.go | 29 +++++++++-------- kem/mceliece/templates/fft_other.templ.go | 17 ++++++---- kem/mceliece/templates/pk_gen_vec.templ.go | 37 ++++++++++++---------- kem/mceliece/templates/vec.templ.go | 31 ++++++++++-------- 18 files changed, 265 insertions(+), 211 deletions(-) diff --git a/kem/mceliece/mceliece348864/fft.go b/kem/mceliece/mceliece348864/fft.go index d9766e4e1..3ed745279 100644 --- a/kem/mceliece/mceliece348864/fft.go +++ b/kem/mceliece/mceliece348864/fft.go @@ -1,13 +1,16 @@ package mceliece348864 +// The following code is translated from the C `vec` Additional Implementation +// from the NIST round 3 submission package. + import "github.com/cloudflare/circl/kem/mceliece/internal" -func fft(out [][gfBits]uint64, in []uint64) { +func fft(out *[exponent][gfBits]uint64, in *[gfBits]uint64) { radixConversions(in) butterflies(out, in) } -func radixConversions(in []uint64) { +func radixConversions(in *[gfBits]uint64) { for j := 0; j <= 4; j++ { for i := 0; i < gfBits; i++ { for k := 4; k >= j; k-- { @@ -16,11 +19,11 @@ func radixConversions(in []uint64) { } } - vecMul(in, in, internal.RadixConversionsS4096[j][:]) // scaling + vecMul(in, in, &internal.RadixConversionsS4096[j]) // scaling } } -func butterflies(out [][gfBits]uint64, in []uint64) { +func butterflies(out *[exponent][gfBits]uint64, in *[gfBits]uint64) { tmp := [gfBits]uint64{} var constsPtr int // broadcast @@ -37,7 +40,7 @@ func butterflies(out [][gfBits]uint64, in []uint64) { for j := 0; j < 64; j += 2 * s { for k := j; k < j+s; k++ { - vecMul(tmp[:], out[k+s][:], internal.ButterfliesConsts4096[constsPtr+(k-j)][:]) + vecMul(&tmp, &out[k+s], &internal.ButterfliesConsts4096[constsPtr+(k-j)]) for b := 0; b < gfBits; b++ { out[k][b] ^= tmp[b] diff --git a/kem/mceliece/mceliece348864/pk_gen.go b/kem/mceliece/mceliece348864/pk_gen.go index dc72a528c..d0e015583 100644 --- a/kem/mceliece/mceliece348864/pk_gen.go +++ b/kem/mceliece/mceliece348864/pk_gen.go @@ -1,5 +1,8 @@ // Code generated from pk_gen_vec.templ.go. DO NOT EDIT. +// The following code is translated from the C `vec` Additional Implementation +// from the NIST round 3 submission package. + package mceliece348864 import ( @@ -14,7 +17,7 @@ func storeI(out []byte, in uint64, i int) { } } -func deBitSlicing(out []uint64, in [][gfBits]uint64) { +func deBitSlicing(out *[1 << gfBits]uint64, in *[exponent][gfBits]uint64) { for i := 0; i < (1 << gfBits); i++ { out[i] = 0 } @@ -29,7 +32,7 @@ func deBitSlicing(out []uint64, in [][gfBits]uint64) { } } -func toBitslicing2x(out0 [][gfBits]uint64, out1 [][gfBits]uint64, in []uint64) { +func toBitslicing2x(out0 *[exponent][gfBits]uint64, out1 *[exponent][gfBits]uint64, in *[1 << gfBits]uint64) { for i := 0; i < exponent; i++ { for j := gfBits - 1; j >= 0; j-- { for r := 63; r >= 0; r-- { @@ -47,7 +50,7 @@ func toBitslicing2x(out0 [][gfBits]uint64, out1 [][gfBits]uint64, in []uint64) { } } -func irrLoad(out []uint64, in []byte) { +func irrLoad(out *[gfBits]uint64, in []byte) { irr := [sysT + 1]uint16{} for i := 0; i < sysT; i++ { @@ -97,21 +100,21 @@ func pkGen(pk *[pkNRows * pkRowBytes]byte, irr []byte, perm *[1 << gfBits]uint32 oneRow := [exponent]uint64{} // compute the inverses - irrLoad(irrInt[:], irr) - fft(eval[:], irrInt[:]) - vecCopy(prod[0][:], eval[0][:]) + irrLoad(&irrInt, irr) + fft(&eval, &irrInt) + vecCopy(&prod[0], &eval[0]) for i := 1; i < exponent; i++ { - vecMul(prod[i][:], prod[i-1][:], eval[i][:]) + vecMul(&prod[i], &prod[i-1], &eval[i]) } - vecInv(tmp[:], prod[exponent-1][:]) + vecInv(&tmp, &prod[exponent-1]) for i := exponent - 2; i >= 0; i-- { - vecMul(prod[i+1][:], prod[i][:], tmp[:]) - vecMul(tmp[:], tmp[:], eval[i+1][:]) + vecMul(&prod[i+1], &prod[i], &tmp) + vecMul(&tmp, &tmp, &eval[i+1]) } - vecCopy(prod[0][:], tmp[:]) + vecCopy(&prod[0], &tmp) // fill matrix - deBitSlicing(list[:], prod[:]) + deBitSlicing(&list, &prod) for i := uint64(0); i < (1 << gfBits); i++ { list[i] <<= gfBits list[i] |= i @@ -124,7 +127,7 @@ func pkGen(pk *[pkNRows * pkRowBytes]byte, irr []byte, perm *[1 << gfBits]uint32 return false } } - toBitslicing2x(consts[:], prod[:], list[:]) + toBitslicing2x(&consts, &prod, &list) for i := 0; i < (1 << gfBits); i++ { pi[i] = int16(list[i] & gfMask) @@ -138,7 +141,7 @@ func pkGen(pk *[pkNRows * pkRowBytes]byte, irr []byte, perm *[1 << gfBits]uint32 for i := 1; i < sysT; i++ { for j := 0; j < nblocksI; j++ { - vecMul(prod[j][:], prod[j][:], consts[j][:]) + vecMul(&prod[j], &prod[j], &consts[j]) for k := 0; k < gfBits; k++ { mat[i*gfBits+k][j] = prod[j][k] } @@ -212,7 +215,7 @@ func pkGen(pk *[pkNRows * pkRowBytes]byte, irr []byte, perm *[1 << gfBits]uint32 for i := 1; i < sysT; i++ { for j := nblocksI; j < nblocksH; j++ { - vecMul(prod[j][:], prod[j][:], consts[j][:]) + vecMul(&prod[j], &prod[j], &consts[j]) for k := 0; k < gfBits; k++ { mat[i*gfBits+k][j] = prod[j][k] } diff --git a/kem/mceliece/mceliece348864/vec.go b/kem/mceliece/mceliece348864/vec.go index f3f8033a8..3c7b9ee10 100644 --- a/kem/mceliece/mceliece348864/vec.go +++ b/kem/mceliece/mceliece348864/vec.go @@ -1,8 +1,11 @@ // Code generated from vec.templ.go. DO NOT EDIT. +// The following code is translated from the C `vec` Additional Implementation +// from the NIST round 3 submission package. + package mceliece348864 -func vecMul(h, f, g []uint64) { +func vecMul(h, f, g *[gfBits]uint64) { buf := [2*gfBits - 1]uint64{} for i := 0; i < 2*gfBits-1; i++ { @@ -27,8 +30,8 @@ func vecMul(h, f, g []uint64) { } } -/* bitsliced field squarings */ -func vecSq(out, in []uint64) { +// bitsliced field squarings +func vecSq(out, in *[gfBits]uint64) { result := [gfBits]uint64{} result[0] = in[0] ^ in[6] @@ -49,29 +52,29 @@ func vecSq(out, in []uint64) { } } -/* bitsliced field inverses */ -func vecInv(out, in []uint64) { +// bitsliced field inverses +func vecInv(out, in *[gfBits]uint64) { tmp11 := [gfBits]uint64{} tmp1111 := [gfBits]uint64{} vecCopy(out, in) vecSq(out, out) - vecMul(tmp11[:], out, in) // ^11 + vecMul(&tmp11, out, in) // ^11 - vecSq(out, tmp11[:]) + vecSq(out, &tmp11) vecSq(out, out) - vecMul(tmp1111[:], out, tmp11[:]) // ^1111 + vecMul(&tmp1111, out, &tmp11) // ^1111 - vecSq(out, tmp1111[:]) + vecSq(out, &tmp1111) vecSq(out, out) vecSq(out, out) vecSq(out, out) - vecMul(out, out, tmp1111[:]) // ^11111111 + vecMul(out, out, &tmp1111) // ^11111111 vecSq(out, out) vecSq(out, out) - vecMul(out, out, tmp11[:]) // 1111111111 + vecMul(out, out, &tmp11) // 1111111111 vecSq(out, out) vecMul(out, out, in) // 11111111111 @@ -92,13 +95,13 @@ func vecSet116b(v uint16) uint64 { return ret } -func vecCopy(out, in []uint64) { +func vecCopy(out, in *[gfBits]uint64) { for i := 0; i < gfBits; i++ { out[i] = in[i] } } -func vecOrReduce(a []uint64) uint64 { +func vecOrReduce(a *[gfBits]uint64) uint64 { ret := a[0] for i := 1; i < gfBits; i++ { ret |= a[i] diff --git a/kem/mceliece/mceliece460896/fft.go b/kem/mceliece/mceliece460896/fft.go index df98eddd6..eea2a39be 100644 --- a/kem/mceliece/mceliece460896/fft.go +++ b/kem/mceliece/mceliece460896/fft.go @@ -1,15 +1,18 @@ // Code generated from fft_other.templ.go. DO NOT EDIT. +// The following code is translated from the C `vec` Additional Implementation +// from the NIST round 3 submission package. + package mceliece460896 import "github.com/cloudflare/circl/kem/mceliece/internal" -func fft(out [][gfBits]uint64, in [][gfBits]uint64) { +func fft(out *[exponent][gfBits]uint64, in *[2][gfBits]uint64) { radixConversions(in) butterflies(out, in) } -func radixConversions(in [][gfBits]uint64) { +func radixConversions(in *[2][gfBits]uint64) { for j := 0; j <= 5; j++ { for i := 0; i < gfBits; i++ { in[1][i] ^= in[1][i] >> 32 @@ -26,13 +29,13 @@ func radixConversions(in [][gfBits]uint64) { } if j < 5 { - vecMul(in[0][:], in[0][:], internal.RadixConversionsS[j][0][:]) - vecMul(in[1][:], in[1][:], internal.RadixConversionsS[j][1][:]) + vecMul(&in[0], &in[0], &internal.RadixConversionsS[j][0]) + vecMul(&in[1], &in[1], &internal.RadixConversionsS[j][1]) } } } -func butterflies(out [][gfBits]uint64, in [][gfBits]uint64) { +func butterflies(out *[exponent][gfBits]uint64, in *[2][gfBits]uint64) { tmp := [gfBits]uint64{} pre := [8][gfBits]uint64{} buf := [128]uint64{} @@ -43,7 +46,7 @@ func butterflies(out [][gfBits]uint64, in [][gfBits]uint64) { pre[i][j] = -pre[i][j] } - vecMul(pre[i][:], in[1][:], pre[i][:]) + vecMul(&pre[i], &in[1], &pre[i]) } for i := 0; i < gfBits; i++ { buf[0] = in[0][i] @@ -189,7 +192,7 @@ func butterflies(out [][gfBits]uint64, in [][gfBits]uint64) { for j := 0; j < 128; j += 2 * s { for k := j; k < j+s; k++ { - vecMul(tmp[:], out[k+s][:], internal.ButterfliesConst[constsPtr+(k-j)][:]) + vecMul(&tmp, &out[k+s], &internal.ButterfliesConst[constsPtr+(k-j)]) for b := 0; b < gfBits; b++ { out[k][b] ^= tmp[b] diff --git a/kem/mceliece/mceliece460896/pk_gen.go b/kem/mceliece/mceliece460896/pk_gen.go index d4669b95d..08fdc0df8 100644 --- a/kem/mceliece/mceliece460896/pk_gen.go +++ b/kem/mceliece/mceliece460896/pk_gen.go @@ -1,5 +1,8 @@ // Code generated from pk_gen_vec.templ.go. DO NOT EDIT. +// The following code is translated from the C `vec` Additional Implementation +// from the NIST round 3 submission package. + package mceliece460896 import ( @@ -14,7 +17,7 @@ func storeI(out []byte, in uint64, i int) { } } -func deBitSlicing(out []uint64, in [][gfBits]uint64) { +func deBitSlicing(out *[1 << gfBits]uint64, in *[exponent][gfBits]uint64) { for i := 0; i < (1 << gfBits); i++ { out[i] = 0 } @@ -29,7 +32,7 @@ func deBitSlicing(out []uint64, in [][gfBits]uint64) { } } -func toBitslicing2x(out0 [][gfBits]uint64, out1 [][gfBits]uint64, in []uint64) { +func toBitslicing2x(out0 *[exponent][gfBits]uint64, out1 *[exponent][gfBits]uint64, in *[1 << gfBits]uint64) { for i := 0; i < exponent; i++ { for j := gfBits - 1; j >= 0; j-- { for r := 63; r >= 0; r-- { @@ -47,7 +50,7 @@ func toBitslicing2x(out0 [][gfBits]uint64, out1 [][gfBits]uint64, in []uint64) { } } -func irrLoad(out [][gfBits]uint64, in []byte) { +func irrLoad(out *[2][gfBits]uint64, in []byte) { irr := [sysT + 1]uint16{} for i := 0; i < sysT; i++ { @@ -105,21 +108,21 @@ func pkGen(pk *[pkNRows * pkRowBytes]byte, irr []byte, perm *[1 << gfBits]uint32 oneRow := [exponent]uint64{} // compute the inverses - irrLoad(irrInt[:], irr) - fft(eval[:], irrInt[:]) - vecCopy(prod[0][:], eval[0][:]) + irrLoad(&irrInt, irr) + fft(&eval, &irrInt) + vecCopy(&prod[0], &eval[0]) for i := 1; i < exponent; i++ { - vecMul(prod[i][:], prod[i-1][:], eval[i][:]) + vecMul(&prod[i], &prod[i-1], &eval[i]) } - vecInv(tmp[:], prod[exponent-1][:]) + vecInv(&tmp, &prod[exponent-1]) for i := exponent - 2; i >= 0; i-- { - vecMul(prod[i+1][:], prod[i][:], tmp[:]) - vecMul(tmp[:], tmp[:], eval[i+1][:]) + vecMul(&prod[i+1], &prod[i], &tmp) + vecMul(&tmp, &tmp, &eval[i+1]) } - vecCopy(prod[0][:], tmp[:]) + vecCopy(&prod[0], &tmp) // fill matrix - deBitSlicing(list[:], prod[:]) + deBitSlicing(&list, &prod) for i := uint64(0); i < (1 << gfBits); i++ { list[i] <<= gfBits list[i] |= i @@ -132,7 +135,7 @@ func pkGen(pk *[pkNRows * pkRowBytes]byte, irr []byte, perm *[1 << gfBits]uint32 return false } } - toBitslicing2x(consts[:], prod[:], list[:]) + toBitslicing2x(&consts, &prod, &list) for i := 0; i < (1 << gfBits); i++ { pi[i] = int16(list[i] & gfMask) @@ -146,7 +149,7 @@ func pkGen(pk *[pkNRows * pkRowBytes]byte, irr []byte, perm *[1 << gfBits]uint32 for i := 1; i < sysT; i++ { for j := 0; j < nblocksI; j++ { - vecMul(prod[j][:], prod[j][:], consts[j][:]) + vecMul(&prod[j], &prod[j], &consts[j]) for k := 0; k < gfBits; k++ { mat[i*gfBits+k][j] = prod[j][k] } @@ -225,7 +228,7 @@ func pkGen(pk *[pkNRows * pkRowBytes]byte, irr []byte, perm *[1 << gfBits]uint32 for i := 1; i < sysT; i++ { for j := nblocksI; j < nblocksH; j++ { - vecMul(prod[j][:], prod[j][:], consts[j][:]) + vecMul(&prod[j], &prod[j], &consts[j]) for k := 0; k < gfBits; k++ { mat[i*gfBits+k][j] = prod[j][k] } diff --git a/kem/mceliece/mceliece460896/vec.go b/kem/mceliece/mceliece460896/vec.go index 2ca061556..f8da44774 100644 --- a/kem/mceliece/mceliece460896/vec.go +++ b/kem/mceliece/mceliece460896/vec.go @@ -1,8 +1,11 @@ // Code generated from vec.templ.go. DO NOT EDIT. +// The following code is translated from the C `vec` Additional Implementation +// from the NIST round 3 submission package. + package mceliece460896 -func vecMul(h, f, g []uint64) { +func vecMul(h, f, g *[gfBits]uint64) { buf := [2*gfBits - 1]uint64{} for i := 0; i < 2*gfBits-1; i++ { @@ -29,8 +32,8 @@ func vecMul(h, f, g []uint64) { } } -/* bitsliced field squarings */ -func vecSq(out, in []uint64) { +// bitsliced field squarings +func vecSq(out, in *[gfBits]uint64) { result := [gfBits]uint64{} t := in[11] ^ in[12] @@ -60,31 +63,31 @@ func vecSq(out, in []uint64) { } } -/* bitsliced field inverses */ -func vecInv(out, in []uint64) { +// bitsliced field inverses +func vecInv(out, in *[gfBits]uint64) { tmp11 := [gfBits]uint64{} tmp1111 := [gfBits]uint64{} vecCopy(out, in) vecSq(out, out) - vecMul(tmp11[:], out, in) // ^11 + vecMul(&tmp11, out, in) // ^11 - vecSq(out, tmp11[:]) + vecSq(out, &tmp11) vecSq(out, out) - vecMul(tmp1111[:], out, tmp11[:]) // ^1111 + vecMul(&tmp1111, out, &tmp11) // ^1111 - vecSq(out, tmp1111[:]) + vecSq(out, &tmp1111) vecSq(out, out) vecSq(out, out) vecSq(out, out) - vecMul(out, out, tmp1111[:]) // ^11111111 + vecMul(out, out, &tmp1111) // ^11111111 vecSq(out, out) vecSq(out, out) vecSq(out, out) vecSq(out, out) - vecMul(out, out, tmp1111[:]) // ^111111111111 + vecMul(out, out, &tmp1111) // ^111111111111 vecSq(out, out) // ^1111111111110 } @@ -102,13 +105,13 @@ func vecSet116b(v uint16) uint64 { return ret } -func vecCopy(out, in []uint64) { +func vecCopy(out, in *[gfBits]uint64) { for i := 0; i < gfBits; i++ { out[i] = in[i] } } -func vecOrReduce(a []uint64) uint64 { +func vecOrReduce(a *[gfBits]uint64) uint64 { ret := a[0] for i := 1; i < gfBits; i++ { ret |= a[i] diff --git a/kem/mceliece/mceliece6688128/fft.go b/kem/mceliece/mceliece6688128/fft.go index 6092bc8c5..8d1b5bff6 100644 --- a/kem/mceliece/mceliece6688128/fft.go +++ b/kem/mceliece/mceliece6688128/fft.go @@ -1,15 +1,18 @@ // Code generated from fft_other.templ.go. DO NOT EDIT. +// The following code is translated from the C `vec` Additional Implementation +// from the NIST round 3 submission package. + package mceliece6688128 import "github.com/cloudflare/circl/kem/mceliece/internal" -func fft(out [][gfBits]uint64, in [][gfBits]uint64) { +func fft(out *[exponent][gfBits]uint64, in *[2][gfBits]uint64) { radixConversions(in) butterflies(out, in) } -func radixConversions(in [][gfBits]uint64) { +func radixConversions(in *[2][gfBits]uint64) { for j := 0; j <= 5; j++ { for i := 0; i < gfBits; i++ { in[1][i] ^= in[1][i] >> 32 @@ -26,13 +29,13 @@ func radixConversions(in [][gfBits]uint64) { } if j < 5 { - vecMul(in[0][:], in[0][:], internal.RadixConversionsS[j][0][:]) - vecMul(in[1][:], in[1][:], internal.RadixConversionsS[j][1][:]) + vecMul(&in[0], &in[0], &internal.RadixConversionsS[j][0]) + vecMul(&in[1], &in[1], &internal.RadixConversionsS[j][1]) } } } -func butterflies(out [][gfBits]uint64, in [][gfBits]uint64) { +func butterflies(out *[exponent][gfBits]uint64, in *[2][gfBits]uint64) { tmp := [gfBits]uint64{} pre := [8][gfBits]uint64{} buf := [128]uint64{} @@ -43,7 +46,7 @@ func butterflies(out [][gfBits]uint64, in [][gfBits]uint64) { pre[i][j] = -pre[i][j] } - vecMul(pre[i][:], in[1][:], pre[i][:]) + vecMul(&pre[i], &in[1], &pre[i]) } for i := 0; i < gfBits; i++ { buf[0] = in[0][i] @@ -189,7 +192,7 @@ func butterflies(out [][gfBits]uint64, in [][gfBits]uint64) { for j := 0; j < 128; j += 2 * s { for k := j; k < j+s; k++ { - vecMul(tmp[:], out[k+s][:], internal.ButterfliesConst[constsPtr+(k-j)][:]) + vecMul(&tmp, &out[k+s], &internal.ButterfliesConst[constsPtr+(k-j)]) for b := 0; b < gfBits; b++ { out[k][b] ^= tmp[b] diff --git a/kem/mceliece/mceliece6688128/pk_gen.go b/kem/mceliece/mceliece6688128/pk_gen.go index 7a96c8b7d..17889b04b 100644 --- a/kem/mceliece/mceliece6688128/pk_gen.go +++ b/kem/mceliece/mceliece6688128/pk_gen.go @@ -1,5 +1,8 @@ // Code generated from pk_gen_vec.templ.go. DO NOT EDIT. +// The following code is translated from the C `vec` Additional Implementation +// from the NIST round 3 submission package. + package mceliece6688128 import ( @@ -14,7 +17,7 @@ func storeI(out []byte, in uint64, i int) { } } -func deBitSlicing(out []uint64, in [][gfBits]uint64) { +func deBitSlicing(out *[1 << gfBits]uint64, in *[exponent][gfBits]uint64) { for i := 0; i < (1 << gfBits); i++ { out[i] = 0 } @@ -29,7 +32,7 @@ func deBitSlicing(out []uint64, in [][gfBits]uint64) { } } -func toBitslicing2x(out0 [][gfBits]uint64, out1 [][gfBits]uint64, in []uint64) { +func toBitslicing2x(out0 *[exponent][gfBits]uint64, out1 *[exponent][gfBits]uint64, in *[1 << gfBits]uint64) { for i := 0; i < exponent; i++ { for j := gfBits - 1; j >= 0; j-- { for r := 63; r >= 0; r-- { @@ -47,7 +50,7 @@ func toBitslicing2x(out0 [][gfBits]uint64, out1 [][gfBits]uint64, in []uint64) { } } -func irrLoad(out [][gfBits]uint64, in []byte) { +func irrLoad(out *[2][gfBits]uint64, in []byte) { var ( v0 uint64 v1 uint64 @@ -100,21 +103,21 @@ func pkGen(pk *[pkNRows * pkRowBytes]byte, irr []byte, perm *[1 << gfBits]uint32 oneRow := [exponent]uint64{} // compute the inverses - irrLoad(irrInt[:], irr) - fft(eval[:], irrInt[:]) - vecCopy(prod[0][:], eval[0][:]) + irrLoad(&irrInt, irr) + fft(&eval, &irrInt) + vecCopy(&prod[0], &eval[0]) for i := 1; i < exponent; i++ { - vecMul(prod[i][:], prod[i-1][:], eval[i][:]) + vecMul(&prod[i], &prod[i-1], &eval[i]) } - vecInv(tmp[:], prod[exponent-1][:]) + vecInv(&tmp, &prod[exponent-1]) for i := exponent - 2; i >= 0; i-- { - vecMul(prod[i+1][:], prod[i][:], tmp[:]) - vecMul(tmp[:], tmp[:], eval[i+1][:]) + vecMul(&prod[i+1], &prod[i], &tmp) + vecMul(&tmp, &tmp, &eval[i+1]) } - vecCopy(prod[0][:], tmp[:]) + vecCopy(&prod[0], &tmp) // fill matrix - deBitSlicing(list[:], prod[:]) + deBitSlicing(&list, &prod) for i := uint64(0); i < (1 << gfBits); i++ { list[i] <<= gfBits list[i] |= i @@ -127,7 +130,7 @@ func pkGen(pk *[pkNRows * pkRowBytes]byte, irr []byte, perm *[1 << gfBits]uint32 return false } } - toBitslicing2x(consts[:], prod[:], list[:]) + toBitslicing2x(&consts, &prod, &list) for i := 0; i < (1 << gfBits); i++ { pi[i] = int16(list[i] & gfMask) @@ -141,7 +144,7 @@ func pkGen(pk *[pkNRows * pkRowBytes]byte, irr []byte, perm *[1 << gfBits]uint32 for i := 1; i < sysT; i++ { for j := 0; j < nblocksI; j++ { - vecMul(prod[j][:], prod[j][:], consts[j][:]) + vecMul(&prod[j], &prod[j], &consts[j]) for k := 0; k < gfBits; k++ { mat[i*gfBits+k][j] = prod[j][k] } @@ -215,7 +218,7 @@ func pkGen(pk *[pkNRows * pkRowBytes]byte, irr []byte, perm *[1 << gfBits]uint32 for i := 1; i < sysT; i++ { for j := nblocksI; j < nblocksH; j++ { - vecMul(prod[j][:], prod[j][:], consts[j][:]) + vecMul(&prod[j], &prod[j], &consts[j]) for k := 0; k < gfBits; k++ { mat[i*gfBits+k][j] = prod[j][k] } diff --git a/kem/mceliece/mceliece6688128/vec.go b/kem/mceliece/mceliece6688128/vec.go index 8f8e5bc93..bb5e7a11c 100644 --- a/kem/mceliece/mceliece6688128/vec.go +++ b/kem/mceliece/mceliece6688128/vec.go @@ -1,8 +1,11 @@ // Code generated from vec.templ.go. DO NOT EDIT. +// The following code is translated from the C `vec` Additional Implementation +// from the NIST round 3 submission package. + package mceliece6688128 -func vecMul(h, f, g []uint64) { +func vecMul(h, f, g *[gfBits]uint64) { buf := [2*gfBits - 1]uint64{} for i := 0; i < 2*gfBits-1; i++ { @@ -29,8 +32,8 @@ func vecMul(h, f, g []uint64) { } } -/* bitsliced field squarings */ -func vecSq(out, in []uint64) { +// bitsliced field squarings +func vecSq(out, in *[gfBits]uint64) { result := [gfBits]uint64{} t := in[11] ^ in[12] @@ -60,31 +63,31 @@ func vecSq(out, in []uint64) { } } -/* bitsliced field inverses */ -func vecInv(out, in []uint64) { +// bitsliced field inverses +func vecInv(out, in *[gfBits]uint64) { tmp11 := [gfBits]uint64{} tmp1111 := [gfBits]uint64{} vecCopy(out, in) vecSq(out, out) - vecMul(tmp11[:], out, in) // ^11 + vecMul(&tmp11, out, in) // ^11 - vecSq(out, tmp11[:]) + vecSq(out, &tmp11) vecSq(out, out) - vecMul(tmp1111[:], out, tmp11[:]) // ^1111 + vecMul(&tmp1111, out, &tmp11) // ^1111 - vecSq(out, tmp1111[:]) + vecSq(out, &tmp1111) vecSq(out, out) vecSq(out, out) vecSq(out, out) - vecMul(out, out, tmp1111[:]) // ^11111111 + vecMul(out, out, &tmp1111) // ^11111111 vecSq(out, out) vecSq(out, out) vecSq(out, out) vecSq(out, out) - vecMul(out, out, tmp1111[:]) // ^111111111111 + vecMul(out, out, &tmp1111) // ^111111111111 vecSq(out, out) // ^1111111111110 } @@ -102,13 +105,13 @@ func vecSet116b(v uint16) uint64 { return ret } -func vecCopy(out, in []uint64) { +func vecCopy(out, in *[gfBits]uint64) { for i := 0; i < gfBits; i++ { out[i] = in[i] } } -func vecOrReduce(a []uint64) uint64 { +func vecOrReduce(a *[gfBits]uint64) uint64 { ret := a[0] for i := 1; i < gfBits; i++ { ret |= a[i] diff --git a/kem/mceliece/mceliece6960119/fft.go b/kem/mceliece/mceliece6960119/fft.go index d0a2268cb..adb6a5426 100644 --- a/kem/mceliece/mceliece6960119/fft.go +++ b/kem/mceliece/mceliece6960119/fft.go @@ -1,15 +1,18 @@ // Code generated from fft_other.templ.go. DO NOT EDIT. +// The following code is translated from the C `vec` Additional Implementation +// from the NIST round 3 submission package. + package mceliece6960119 import "github.com/cloudflare/circl/kem/mceliece/internal" -func fft(out [][gfBits]uint64, in [][gfBits]uint64) { +func fft(out *[exponent][gfBits]uint64, in *[2][gfBits]uint64) { radixConversions(in) butterflies(out, in) } -func radixConversions(in [][gfBits]uint64) { +func radixConversions(in *[2][gfBits]uint64) { for j := 0; j <= 5; j++ { for i := 0; i < gfBits; i++ { in[1][i] ^= in[1][i] >> 32 @@ -26,13 +29,13 @@ func radixConversions(in [][gfBits]uint64) { } if j < 5 { - vecMul(in[0][:], in[0][:], internal.RadixConversionsS[j][0][:]) - vecMul(in[1][:], in[1][:], internal.RadixConversionsS[j][1][:]) + vecMul(&in[0], &in[0], &internal.RadixConversionsS[j][0]) + vecMul(&in[1], &in[1], &internal.RadixConversionsS[j][1]) } } } -func butterflies(out [][gfBits]uint64, in [][gfBits]uint64) { +func butterflies(out *[exponent][gfBits]uint64, in *[2][gfBits]uint64) { tmp := [gfBits]uint64{} pre := [8][gfBits]uint64{} buf := [128]uint64{} @@ -43,7 +46,7 @@ func butterflies(out [][gfBits]uint64, in [][gfBits]uint64) { pre[i][j] = -pre[i][j] } - vecMul(pre[i][:], in[1][:], pre[i][:]) + vecMul(&pre[i], &in[1], &pre[i]) } for i := 0; i < gfBits; i++ { buf[0] = in[0][i] @@ -189,7 +192,7 @@ func butterflies(out [][gfBits]uint64, in [][gfBits]uint64) { for j := 0; j < 128; j += 2 * s { for k := j; k < j+s; k++ { - vecMul(tmp[:], out[k+s][:], internal.ButterfliesConst[constsPtr+(k-j)][:]) + vecMul(&tmp, &out[k+s], &internal.ButterfliesConst[constsPtr+(k-j)]) for b := 0; b < gfBits; b++ { out[k][b] ^= tmp[b] diff --git a/kem/mceliece/mceliece6960119/pk_gen.go b/kem/mceliece/mceliece6960119/pk_gen.go index 756ce3994..00b8bb4f7 100644 --- a/kem/mceliece/mceliece6960119/pk_gen.go +++ b/kem/mceliece/mceliece6960119/pk_gen.go @@ -1,5 +1,8 @@ // Code generated from pk_gen_vec.templ.go. DO NOT EDIT. +// The following code is translated from the C `vec` Additional Implementation +// from the NIST round 3 submission package. + package mceliece6960119 import ( @@ -14,7 +17,7 @@ func storeI(out []byte, in uint64, i int) { } } -func deBitSlicing(out []uint64, in [][gfBits]uint64) { +func deBitSlicing(out *[1 << gfBits]uint64, in *[exponent][gfBits]uint64) { for i := 0; i < (1 << gfBits); i++ { out[i] = 0 } @@ -29,7 +32,7 @@ func deBitSlicing(out []uint64, in [][gfBits]uint64) { } } -func toBitslicing2x(out0 [][gfBits]uint64, out1 [][gfBits]uint64, in []uint64) { +func toBitslicing2x(out0 *[exponent][gfBits]uint64, out1 *[exponent][gfBits]uint64, in *[1 << gfBits]uint64) { for i := 0; i < exponent; i++ { for j := gfBits - 1; j >= 0; j-- { for r := 63; r >= 0; r-- { @@ -47,7 +50,7 @@ func toBitslicing2x(out0 [][gfBits]uint64, out1 [][gfBits]uint64, in []uint64) { } } -func irrLoad(out [][gfBits]uint64, in []byte) { +func irrLoad(out *[2][gfBits]uint64, in []byte) { irr := [sysT + 1]uint16{} for i := 0; i < sysT; i++ { @@ -105,21 +108,21 @@ func pkGen(pk *[pkNRows * pkRowBytes]byte, irr []byte, perm *[1 << gfBits]uint32 oneRow := [exponent]uint64{} // compute the inverses - irrLoad(irrInt[:], irr) - fft(eval[:], irrInt[:]) - vecCopy(prod[0][:], eval[0][:]) + irrLoad(&irrInt, irr) + fft(&eval, &irrInt) + vecCopy(&prod[0], &eval[0]) for i := 1; i < exponent; i++ { - vecMul(prod[i][:], prod[i-1][:], eval[i][:]) + vecMul(&prod[i], &prod[i-1], &eval[i]) } - vecInv(tmp[:], prod[exponent-1][:]) + vecInv(&tmp, &prod[exponent-1]) for i := exponent - 2; i >= 0; i-- { - vecMul(prod[i+1][:], prod[i][:], tmp[:]) - vecMul(tmp[:], tmp[:], eval[i+1][:]) + vecMul(&prod[i+1], &prod[i], &tmp) + vecMul(&tmp, &tmp, &eval[i+1]) } - vecCopy(prod[0][:], tmp[:]) + vecCopy(&prod[0], &tmp) // fill matrix - deBitSlicing(list[:], prod[:]) + deBitSlicing(&list, &prod) for i := uint64(0); i < (1 << gfBits); i++ { list[i] <<= gfBits list[i] |= i @@ -132,7 +135,7 @@ func pkGen(pk *[pkNRows * pkRowBytes]byte, irr []byte, perm *[1 << gfBits]uint32 return false } } - toBitslicing2x(consts[:], prod[:], list[:]) + toBitslicing2x(&consts, &prod, &list) for i := 0; i < (1 << gfBits); i++ { pi[i] = int16(list[i] & gfMask) @@ -146,7 +149,7 @@ func pkGen(pk *[pkNRows * pkRowBytes]byte, irr []byte, perm *[1 << gfBits]uint32 for i := 1; i < sysT; i++ { for j := 0; j < nblocksI; j++ { - vecMul(prod[j][:], prod[j][:], consts[j][:]) + vecMul(&prod[j], &prod[j], &consts[j]) for k := 0; k < gfBits; k++ { mat[i*gfBits+k][j] = prod[j][k] } @@ -225,7 +228,7 @@ func pkGen(pk *[pkNRows * pkRowBytes]byte, irr []byte, perm *[1 << gfBits]uint32 for i := 1; i < sysT; i++ { for j := nblocksI; j < nblocksH; j++ { - vecMul(prod[j][:], prod[j][:], consts[j][:]) + vecMul(&prod[j], &prod[j], &consts[j]) for k := 0; k < gfBits; k++ { mat[i*gfBits+k][j] = prod[j][k] } diff --git a/kem/mceliece/mceliece6960119/vec.go b/kem/mceliece/mceliece6960119/vec.go index 290ee5c9c..918e3f278 100644 --- a/kem/mceliece/mceliece6960119/vec.go +++ b/kem/mceliece/mceliece6960119/vec.go @@ -1,8 +1,11 @@ // Code generated from vec.templ.go. DO NOT EDIT. +// The following code is translated from the C `vec` Additional Implementation +// from the NIST round 3 submission package. + package mceliece6960119 -func vecMul(h, f, g []uint64) { +func vecMul(h, f, g *[gfBits]uint64) { buf := [2*gfBits - 1]uint64{} for i := 0; i < 2*gfBits-1; i++ { @@ -29,8 +32,8 @@ func vecMul(h, f, g []uint64) { } } -/* bitsliced field squarings */ -func vecSq(out, in []uint64) { +// bitsliced field squarings +func vecSq(out, in *[gfBits]uint64) { result := [gfBits]uint64{} t := in[11] ^ in[12] @@ -60,31 +63,31 @@ func vecSq(out, in []uint64) { } } -/* bitsliced field inverses */ -func vecInv(out, in []uint64) { +// bitsliced field inverses +func vecInv(out, in *[gfBits]uint64) { tmp11 := [gfBits]uint64{} tmp1111 := [gfBits]uint64{} vecCopy(out, in) vecSq(out, out) - vecMul(tmp11[:], out, in) // ^11 + vecMul(&tmp11, out, in) // ^11 - vecSq(out, tmp11[:]) + vecSq(out, &tmp11) vecSq(out, out) - vecMul(tmp1111[:], out, tmp11[:]) // ^1111 + vecMul(&tmp1111, out, &tmp11) // ^1111 - vecSq(out, tmp1111[:]) + vecSq(out, &tmp1111) vecSq(out, out) vecSq(out, out) vecSq(out, out) - vecMul(out, out, tmp1111[:]) // ^11111111 + vecMul(out, out, &tmp1111) // ^11111111 vecSq(out, out) vecSq(out, out) vecSq(out, out) vecSq(out, out) - vecMul(out, out, tmp1111[:]) // ^111111111111 + vecMul(out, out, &tmp1111) // ^111111111111 vecSq(out, out) // ^1111111111110 } @@ -102,13 +105,13 @@ func vecSet116b(v uint16) uint64 { return ret } -func vecCopy(out, in []uint64) { +func vecCopy(out, in *[gfBits]uint64) { for i := 0; i < gfBits; i++ { out[i] = in[i] } } -func vecOrReduce(a []uint64) uint64 { +func vecOrReduce(a *[gfBits]uint64) uint64 { ret := a[0] for i := 1; i < gfBits; i++ { ret |= a[i] diff --git a/kem/mceliece/mceliece8192128/fft.go b/kem/mceliece/mceliece8192128/fft.go index 31b18a9ab..c1cb8c548 100644 --- a/kem/mceliece/mceliece8192128/fft.go +++ b/kem/mceliece/mceliece8192128/fft.go @@ -1,15 +1,18 @@ // Code generated from fft_other.templ.go. DO NOT EDIT. +// The following code is translated from the C `vec` Additional Implementation +// from the NIST round 3 submission package. + package mceliece8192128 import "github.com/cloudflare/circl/kem/mceliece/internal" -func fft(out [][gfBits]uint64, in [][gfBits]uint64) { +func fft(out *[exponent][gfBits]uint64, in *[2][gfBits]uint64) { radixConversions(in) butterflies(out, in) } -func radixConversions(in [][gfBits]uint64) { +func radixConversions(in *[2][gfBits]uint64) { for j := 0; j <= 5; j++ { for i := 0; i < gfBits; i++ { in[1][i] ^= in[1][i] >> 32 @@ -26,13 +29,13 @@ func radixConversions(in [][gfBits]uint64) { } if j < 5 { - vecMul(in[0][:], in[0][:], internal.RadixConversionsS[j][0][:]) - vecMul(in[1][:], in[1][:], internal.RadixConversionsS[j][1][:]) + vecMul(&in[0], &in[0], &internal.RadixConversionsS[j][0]) + vecMul(&in[1], &in[1], &internal.RadixConversionsS[j][1]) } } } -func butterflies(out [][gfBits]uint64, in [][gfBits]uint64) { +func butterflies(out *[exponent][gfBits]uint64, in *[2][gfBits]uint64) { tmp := [gfBits]uint64{} pre := [8][gfBits]uint64{} buf := [128]uint64{} @@ -43,7 +46,7 @@ func butterflies(out [][gfBits]uint64, in [][gfBits]uint64) { pre[i][j] = -pre[i][j] } - vecMul(pre[i][:], in[1][:], pre[i][:]) + vecMul(&pre[i], &in[1], &pre[i]) } for i := 0; i < gfBits; i++ { buf[0] = in[0][i] @@ -189,7 +192,7 @@ func butterflies(out [][gfBits]uint64, in [][gfBits]uint64) { for j := 0; j < 128; j += 2 * s { for k := j; k < j+s; k++ { - vecMul(tmp[:], out[k+s][:], internal.ButterfliesConst[constsPtr+(k-j)][:]) + vecMul(&tmp, &out[k+s], &internal.ButterfliesConst[constsPtr+(k-j)]) for b := 0; b < gfBits; b++ { out[k][b] ^= tmp[b] diff --git a/kem/mceliece/mceliece8192128/pk_gen.go b/kem/mceliece/mceliece8192128/pk_gen.go index 02c1adc77..229ac50fe 100644 --- a/kem/mceliece/mceliece8192128/pk_gen.go +++ b/kem/mceliece/mceliece8192128/pk_gen.go @@ -1,5 +1,8 @@ // Code generated from pk_gen_vec.templ.go. DO NOT EDIT. +// The following code is translated from the C `vec` Additional Implementation +// from the NIST round 3 submission package. + package mceliece8192128 import ( @@ -8,7 +11,7 @@ import ( const exponent = 128 -func deBitSlicing(out []uint64, in [][gfBits]uint64) { +func deBitSlicing(out *[1 << gfBits]uint64, in *[exponent][gfBits]uint64) { for i := 0; i < (1 << gfBits); i++ { out[i] = 0 } @@ -23,7 +26,7 @@ func deBitSlicing(out []uint64, in [][gfBits]uint64) { } } -func toBitslicing2x(out0 [][gfBits]uint64, out1 [][gfBits]uint64, in []uint64) { +func toBitslicing2x(out0 *[exponent][gfBits]uint64, out1 *[exponent][gfBits]uint64, in *[1 << gfBits]uint64) { for i := 0; i < exponent; i++ { for j := gfBits - 1; j >= 0; j-- { for r := 63; r >= 0; r-- { @@ -41,7 +44,7 @@ func toBitslicing2x(out0 [][gfBits]uint64, out1 [][gfBits]uint64, in []uint64) { } } -func irrLoad(out [][gfBits]uint64, in []byte) { +func irrLoad(out *[2][gfBits]uint64, in []byte) { var ( v0 uint64 v1 uint64 @@ -95,21 +98,21 @@ func pkGen(pk *[pkNRows * pkRowBytes]byte, irr []byte, perm *[1 << gfBits]uint32 oneRow := [pkNCols / 64]uint64{} // compute the inverses - irrLoad(irrInt[:], irr) - fft(eval[:], irrInt[:]) - vecCopy(prod[0][:], eval[0][:]) + irrLoad(&irrInt, irr) + fft(&eval, &irrInt) + vecCopy(&prod[0], &eval[0]) for i := 1; i < exponent; i++ { - vecMul(prod[i][:], prod[i-1][:], eval[i][:]) + vecMul(&prod[i], &prod[i-1], &eval[i]) } - vecInv(tmp[:], prod[exponent-1][:]) + vecInv(&tmp, &prod[exponent-1]) for i := exponent - 2; i >= 0; i-- { - vecMul(prod[i+1][:], prod[i][:], tmp[:]) - vecMul(tmp[:], tmp[:], eval[i+1][:]) + vecMul(&prod[i+1], &prod[i], &tmp) + vecMul(&tmp, &tmp, &eval[i+1]) } - vecCopy(prod[0][:], tmp[:]) + vecCopy(&prod[0], &tmp) // fill matrix - deBitSlicing(list[:], prod[:]) + deBitSlicing(&list, &prod) for i := uint64(0); i < (1 << gfBits); i++ { list[i] <<= gfBits list[i] |= i @@ -122,7 +125,7 @@ func pkGen(pk *[pkNRows * pkRowBytes]byte, irr []byte, perm *[1 << gfBits]uint32 return false } } - toBitslicing2x(consts[:], prod[:], list[:]) + toBitslicing2x(&consts, &prod, &list) for i := 0; i < (1 << gfBits); i++ { pi[i] = int16(list[i] & gfMask) @@ -136,7 +139,7 @@ func pkGen(pk *[pkNRows * pkRowBytes]byte, irr []byte, perm *[1 << gfBits]uint32 for i := 1; i < sysT; i++ { for j := 0; j < nblocksI; j++ { - vecMul(prod[j][:], prod[j][:], consts[j][:]) + vecMul(&prod[j], &prod[j], &consts[j]) for k := 0; k < gfBits; k++ { mat[i*gfBits+k][j] = prod[j][k] } @@ -220,7 +223,7 @@ func pkGen(pk *[pkNRows * pkRowBytes]byte, irr []byte, perm *[1 << gfBits]uint32 for i := 1; i < sysT; i++ { for j := nblocksI; j < nblocksH; j++ { - vecMul(prod[j][:], prod[j][:], consts[j][:]) + vecMul(&prod[j], &prod[j], &consts[j]) for k := 0; k < gfBits; k++ { mat[i*gfBits+k][j] = prod[j][k] } diff --git a/kem/mceliece/mceliece8192128/vec.go b/kem/mceliece/mceliece8192128/vec.go index 49a4ce63c..c53497ec2 100644 --- a/kem/mceliece/mceliece8192128/vec.go +++ b/kem/mceliece/mceliece8192128/vec.go @@ -1,8 +1,11 @@ // Code generated from vec.templ.go. DO NOT EDIT. +// The following code is translated from the C `vec` Additional Implementation +// from the NIST round 3 submission package. + package mceliece8192128 -func vecMul(h, f, g []uint64) { +func vecMul(h, f, g *[gfBits]uint64) { buf := [2*gfBits - 1]uint64{} for i := 0; i < 2*gfBits-1; i++ { @@ -29,8 +32,8 @@ func vecMul(h, f, g []uint64) { } } -/* bitsliced field squarings */ -func vecSq(out, in []uint64) { +// bitsliced field squarings +func vecSq(out, in *[gfBits]uint64) { result := [gfBits]uint64{} t := in[11] ^ in[12] @@ -60,31 +63,31 @@ func vecSq(out, in []uint64) { } } -/* bitsliced field inverses */ -func vecInv(out, in []uint64) { +// bitsliced field inverses +func vecInv(out, in *[gfBits]uint64) { tmp11 := [gfBits]uint64{} tmp1111 := [gfBits]uint64{} vecCopy(out, in) vecSq(out, out) - vecMul(tmp11[:], out, in) // ^11 + vecMul(&tmp11, out, in) // ^11 - vecSq(out, tmp11[:]) + vecSq(out, &tmp11) vecSq(out, out) - vecMul(tmp1111[:], out, tmp11[:]) // ^1111 + vecMul(&tmp1111, out, &tmp11) // ^1111 - vecSq(out, tmp1111[:]) + vecSq(out, &tmp1111) vecSq(out, out) vecSq(out, out) vecSq(out, out) - vecMul(out, out, tmp1111[:]) // ^11111111 + vecMul(out, out, &tmp1111) // ^11111111 vecSq(out, out) vecSq(out, out) vecSq(out, out) vecSq(out, out) - vecMul(out, out, tmp1111[:]) // ^111111111111 + vecMul(out, out, &tmp1111) // ^111111111111 vecSq(out, out) // ^1111111111110 } @@ -102,13 +105,13 @@ func vecSet116b(v uint16) uint64 { return ret } -func vecCopy(out, in []uint64) { +func vecCopy(out, in *[gfBits]uint64) { for i := 0; i < gfBits; i++ { out[i] = in[i] } } -func vecOrReduce(a []uint64) uint64 { +func vecOrReduce(a *[gfBits]uint64) uint64 { ret := a[0] for i := 1; i < gfBits; i++ { ret |= a[i] diff --git a/kem/mceliece/templates/fft_other.templ.go b/kem/mceliece/templates/fft_other.templ.go index 3b5889958..82e397603 100644 --- a/kem/mceliece/templates/fft_other.templ.go +++ b/kem/mceliece/templates/fft_other.templ.go @@ -4,16 +4,19 @@ // Code generated from fft_other.templ.go. DO NOT EDIT. +// The following code is translated from the C `vec` Additional Implementation +// from the NIST round 3 submission package. + package {{.Pkg}} import "github.com/cloudflare/circl/kem/mceliece/internal" -func fft(out [][gfBits]uint64, in [][gfBits]uint64) { +func fft(out *[exponent][gfBits]uint64, in *[2][gfBits]uint64) { radixConversions(in) butterflies(out, in) } -func radixConversions(in [][gfBits]uint64) { +func radixConversions(in *[2][gfBits]uint64) { for j := 0; j <= 5; j++ { for i := 0; i < gfBits; i++ { in[1][i] ^= in[1][i] >> 32 @@ -30,13 +33,13 @@ func radixConversions(in [][gfBits]uint64) { } if j < 5 { - vecMul(in[0][:], in[0][:], internal.RadixConversionsS[j][0][:]) - vecMul(in[1][:], in[1][:], internal.RadixConversionsS[j][1][:]) + vecMul(&in[0], &in[0], &internal.RadixConversionsS[j][0]) + vecMul(&in[1], &in[1], &internal.RadixConversionsS[j][1]) } } } -func butterflies(out [][gfBits]uint64, in [][gfBits]uint64) { +func butterflies(out *[exponent][gfBits]uint64, in *[2][gfBits]uint64) { tmp := [gfBits]uint64{} pre := [8][gfBits]uint64{} buf := [128]uint64{} @@ -47,7 +50,7 @@ func butterflies(out [][gfBits]uint64, in [][gfBits]uint64) { pre[i][j] = -pre[i][j] } - vecMul(pre[i][:], in[1][:], pre[i][:]) + vecMul(&pre[i], &in[1], &pre[i]) } for i := 0; i < gfBits; i++ { buf[0] = in[0][i] @@ -193,7 +196,7 @@ func butterflies(out [][gfBits]uint64, in [][gfBits]uint64) { for j := 0; j < 128; j += 2 * s { for k := j; k < j+s; k++ { - vecMul(tmp[:], out[k+s][:], internal.ButterfliesConst[constsPtr+(k-j)][:]) + vecMul(&tmp, &out[k+s], &internal.ButterfliesConst[constsPtr+(k-j)]) for b := 0; b < gfBits; b++ { out[k][b] ^= tmp[b] diff --git a/kem/mceliece/templates/pk_gen_vec.templ.go b/kem/mceliece/templates/pk_gen_vec.templ.go index 879ed3439..fa0f865c9 100644 --- a/kem/mceliece/templates/pk_gen_vec.templ.go +++ b/kem/mceliece/templates/pk_gen_vec.templ.go @@ -4,6 +4,9 @@ // Code generated from pk_gen_vec.templ.go. DO NOT EDIT. +// The following code is translated from the C `vec` Additional Implementation +// from the NIST round 3 submission package. + package {{.Pkg}} import ( @@ -24,7 +27,7 @@ func storeI(out []byte, in uint64, i int) { } {{end}} -func deBitSlicing(out []uint64, in [][gfBits]uint64) { +func deBitSlicing(out *[1 << gfBits]uint64, in *[exponent][gfBits]uint64) { for i := 0; i < (1 << gfBits); i++ { out[i] = 0 } @@ -39,7 +42,7 @@ func deBitSlicing(out []uint64, in [][gfBits]uint64) { } } -func toBitslicing2x(out0 [][gfBits]uint64, out1 [][gfBits]uint64, in []uint64) { +func toBitslicing2x(out0 *[exponent][gfBits]uint64, out1 *[exponent][gfBits]uint64, in *[1 << gfBits]uint64) { for i := 0; i < exponent; i++ { for j := gfBits - 1; j >= 0; j-- { for r := 63; r >= 0; r-- { @@ -58,7 +61,7 @@ func toBitslicing2x(out0 [][gfBits]uint64, out1 [][gfBits]uint64, in []uint64) { } {{ if or .Is6688128 .Is8192128 }} -func irrLoad(out [][gfBits]uint64, in []byte) { +func irrLoad(out *[2][gfBits]uint64, in []byte) { var ( v0 uint64 v1 uint64 @@ -83,9 +86,9 @@ func irrLoad(out [][gfBits]uint64, in []byte) { } {{else}} {{ if .Is348864 }} -func irrLoad(out []uint64, in []byte) { +func irrLoad(out *[gfBits]uint64, in []byte) { {{else}} -func irrLoad(out [][gfBits]uint64, in []byte) { +func irrLoad(out *[2][gfBits]uint64, in []byte) { {{end}} irr := [sysT + 1]uint16{} @@ -165,21 +168,21 @@ func pkGen(pk *[pkNRows * pkRowBytes]byte, irr []byte, perm *[1 << gfBits]uint32 {{ end }} // compute the inverses - irrLoad(irrInt[:], irr) - fft(eval[:], irrInt[:]) - vecCopy(prod[0][:], eval[0][:]) + irrLoad(&irrInt, irr) + fft(&eval, &irrInt) + vecCopy(&prod[0], &eval[0]) for i := 1; i < exponent; i++ { - vecMul(prod[i][:], prod[i-1][:], eval[i][:]) + vecMul(&prod[i], &prod[i-1], &eval[i]) } - vecInv(tmp[:], prod[exponent-1][:]) + vecInv(&tmp, &prod[exponent-1]) for i := exponent-2; i >= 0; i-- { - vecMul(prod[i+1][:], prod[i][:], tmp[:]) - vecMul(tmp[:], tmp[:], eval[i+1][:]) + vecMul(&prod[i+1], &prod[i], &tmp) + vecMul(&tmp, &tmp, &eval[i+1]) } - vecCopy(prod[0][:], tmp[:]) + vecCopy(&prod[0], &tmp) // fill matrix - deBitSlicing(list[:], prod[:]) + deBitSlicing(&list, &prod) for i := uint64(0); i < (1 << gfBits); i++ { list[i] <<= gfBits list[i] |= i @@ -192,7 +195,7 @@ func pkGen(pk *[pkNRows * pkRowBytes]byte, irr []byte, perm *[1 << gfBits]uint32 return false } } - toBitslicing2x(consts[:], prod[:], list[:]) + toBitslicing2x(&consts, &prod, &list) for i := 0; i < (1 << gfBits); i++ { pi[i] = int16(list[i] & gfMask) @@ -206,7 +209,7 @@ func pkGen(pk *[pkNRows * pkRowBytes]byte, irr []byte, perm *[1 << gfBits]uint32 for i := 1; i < sysT; i++ { for j := 0; j < nblocksI; j++ { - vecMul(prod[j][:], prod[j][:], consts[j][:]) + vecMul(&prod[j], &prod[j], &consts[j]) for k := 0; k < gfBits; k++ { mat[i*gfBits+k][j] = prod[j][k] } @@ -331,7 +334,7 @@ func pkGen(pk *[pkNRows * pkRowBytes]byte, irr []byte, perm *[1 << gfBits]uint32 for i := 1; i < sysT; i++ { for j := nblocksI; j < nblocksH; j++ { - vecMul(prod[j][:], prod[j][:], consts[j][:]) + vecMul(&prod[j], &prod[j], &consts[j]) for k := 0; k < gfBits; k++ { mat[i*gfBits+k][j] = prod[j][k] } diff --git a/kem/mceliece/templates/vec.templ.go b/kem/mceliece/templates/vec.templ.go index 32b5735fb..df7a05f9d 100644 --- a/kem/mceliece/templates/vec.templ.go +++ b/kem/mceliece/templates/vec.templ.go @@ -4,9 +4,12 @@ // Code generated from vec.templ.go. DO NOT EDIT. +// The following code is translated from the C `vec` Additional Implementation +// from the NIST round 3 submission package. + package {{.Pkg}} -func vecMul(h, f, g []uint64) { +func vecMul(h, f, g *[gfBits]uint64) { buf := [2*gfBits - 1]uint64{} for i := 0; i < 2*gfBits-1; i++ { @@ -36,8 +39,8 @@ func vecMul(h, f, g []uint64) { } } -/* bitsliced field squarings */ -func vecSq(out, in []uint64) { +// bitsliced field squarings +func vecSq(out, in *[gfBits]uint64) { result := [gfBits]uint64{} {{ if .Is348864 }} @@ -82,30 +85,30 @@ func vecSq(out, in []uint64) { } } -/* bitsliced field inverses */ -func vecInv(out, in []uint64) { +// bitsliced field inverses +func vecInv(out, in *[gfBits]uint64) { tmp11 := [gfBits]uint64{} tmp1111 := [gfBits]uint64{} vecCopy(out, in) vecSq(out, out) - vecMul(tmp11[:], out, in) // ^11 + vecMul(&tmp11, out, in) // ^11 - vecSq(out, tmp11[:]) + vecSq(out, &tmp11) vecSq(out, out) - vecMul(tmp1111[:], out, tmp11[:]) // ^1111 + vecMul(&tmp1111, out, &tmp11) // ^1111 - vecSq(out, tmp1111[:]) + vecSq(out, &tmp1111) vecSq(out, out) vecSq(out, out) vecSq(out, out) - vecMul(out, out, tmp1111[:]) // ^11111111 + vecMul(out, out, &tmp1111) // ^11111111 {{ if .Is348864 }} vecSq(out, out); vecSq(out, out); - vecMul(out, out, tmp11[:]); // 1111111111 + vecMul(out, out, &tmp11); // 1111111111 vecSq(out, out); vecMul(out, out, in); // 11111111111 @@ -116,7 +119,7 @@ func vecInv(out, in []uint64) { vecSq(out, out) vecSq(out, out) vecSq(out, out) - vecMul(out, out, tmp1111[:]) // ^111111111111 + vecMul(out, out, &tmp1111) // ^111111111111 vecSq(out, out) // ^1111111111110 {{ end }} @@ -135,13 +138,13 @@ func vecSet116b(v uint16) uint64 { return ret } -func vecCopy(out, in []uint64) { +func vecCopy(out, in *[gfBits]uint64) { for i := 0; i < gfBits; i++ { out[i] = in[i] } } -func vecOrReduce(a []uint64) uint64 { +func vecOrReduce(a *[gfBits]uint64) uint64 { ret := a[0] for i := 1; i < gfBits; i++ { ret |= a[i] From eb670e7218063d173a3cf6d141c49bb72fb77d17 Mon Sep 17 00:00:00 2001 From: Wind Wong Date: Fri, 14 Oct 2022 10:26:47 +0100 Subject: [PATCH 08/14] Implemenet vectorization for semi-systematic parameters (#2) * implement vec for mceliece460896f * implement vec for mceliece6688128f * implement vec for mceliece6960119f * implement vec for mceliece8192128f * implement vec for mceliece348864f --- kem/mceliece/gen.go | 14 +- kem/mceliece/mceliece348864/fft.go | 4 +- kem/mceliece/mceliece348864/pk_gen.go | 10 +- kem/mceliece/mceliece348864f/fft.go | 65 +++++ kem/mceliece/mceliece348864f/pk_gen.go | 258 +++++++++++------- kem/mceliece/mceliece348864f/vec.go | 122 +++++++++ kem/mceliece/mceliece460896/pk_gen.go | 10 +- kem/mceliece/mceliece460896f/fft.go | 208 +++++++++++++++ kem/mceliece/mceliece460896f/pk_gen.go | 262 +++++++++++------- kem/mceliece/mceliece460896f/vec.go | 132 +++++++++ kem/mceliece/mceliece6688128/pk_gen.go | 10 +- kem/mceliece/mceliece6688128f/fft.go | 215 +++++++++++++++ kem/mceliece/mceliece6688128f/pk_gen.go | 259 +++++++++++------- kem/mceliece/mceliece6688128f/vec.go | 132 +++++++++ kem/mceliece/mceliece6960119/pk_gen.go | 10 +- kem/mceliece/mceliece6960119f/fft.go | 208 +++++++++++++++ kem/mceliece/mceliece6960119f/pk_gen.go | 296 +++++++++++++-------- kem/mceliece/mceliece6960119f/vec.go | 132 +++++++++ kem/mceliece/mceliece8192128/pk_gen.go | 10 +- kem/mceliece/mceliece8192128f/fft.go | 215 +++++++++++++++ kem/mceliece/mceliece8192128f/pk_gen.go | 228 ++++++++++------ kem/mceliece/mceliece8192128f/vec.go | 132 +++++++++ kem/mceliece/templates/fft_348864.templ.go | 69 +++++ kem/mceliece/templates/pk_gen.templ.go | 290 -------------------- kem/mceliece/templates/pk_gen_vec.templ.go | 204 +++++++++++++- 25 files changed, 2702 insertions(+), 793 deletions(-) create mode 100644 kem/mceliece/mceliece348864f/fft.go create mode 100644 kem/mceliece/mceliece348864f/vec.go create mode 100644 kem/mceliece/mceliece460896f/fft.go create mode 100644 kem/mceliece/mceliece460896f/vec.go create mode 100644 kem/mceliece/mceliece6688128f/fft.go create mode 100644 kem/mceliece/mceliece6688128f/vec.go create mode 100644 kem/mceliece/mceliece6960119f/fft.go create mode 100644 kem/mceliece/mceliece6960119f/vec.go create mode 100644 kem/mceliece/mceliece8192128f/fft.go create mode 100644 kem/mceliece/mceliece8192128f/vec.go create mode 100644 kem/mceliece/templates/fft_348864.templ.go delete mode 100644 kem/mceliece/templates/pk_gen.templ.go diff --git a/kem/mceliece/gen.go b/kem/mceliece/gen.go index b927702a6..647f2bc39 100644 --- a/kem/mceliece/gen.go +++ b/kem/mceliece/gen.go @@ -55,10 +55,6 @@ func (m Instance) Is8192128() bool { return strings.Contains(m.Name, "8192128") } -func IsSystematic(m Instance) bool { - return !m.IsSemiSystematic() -} - var ( McElieceParam348864 = Param{ Gf: "gf4096", @@ -121,12 +117,10 @@ func main() { generateTemplateFilesIf("templates/benes_other.templ.go", "benes", func(m Instance) bool { return !m.Is348864() }) generateTemplateFilesIf("templates/operations_6960119.templ.go", "operations", func(m Instance) bool { return m.Is6960119() }) generateTemplateFiles("templates/mceliece.templ.go", "mceliece") - generateTemplateFiles("templates/pk_gen.templ.go", "pk_gen") - generateTemplateFilesIf("templates/pk_gen_vec.templ.go", "pk_gen", IsSystematic) - generateTemplateFilesIf("templates/vec.templ.go", "vec", IsSystematic) - generateTemplateFilesIf("templates/fft_other.templ.go", "fft", func(m Instance) bool { - return IsSystematic(m) && !m.Is348864() - }) + generateTemplateFiles("templates/pk_gen_vec.templ.go", "pk_gen") + generateTemplateFiles("templates/vec.templ.go", "vec") + generateTemplateFilesIf("templates/fft_348864.templ.go", "fft", func(m Instance) bool { return m.Is348864() }) + generateTemplateFilesIf("templates/fft_other.templ.go", "fft", func(m Instance) bool { return !m.Is348864() }) } func generateTemplateFiles(templatePath, outputName string) { diff --git a/kem/mceliece/mceliece348864/fft.go b/kem/mceliece/mceliece348864/fft.go index 3ed745279..bfe117fde 100644 --- a/kem/mceliece/mceliece348864/fft.go +++ b/kem/mceliece/mceliece348864/fft.go @@ -1,8 +1,10 @@ -package mceliece348864 +// Code generated from fft_348864.templ.go. DO NOT EDIT. // The following code is translated from the C `vec` Additional Implementation // from the NIST round 3 submission package. +package mceliece348864 + import "github.com/cloudflare/circl/kem/mceliece/internal" func fft(out *[exponent][gfBits]uint64, in *[gfBits]uint64) { diff --git a/kem/mceliece/mceliece348864/pk_gen.go b/kem/mceliece/mceliece348864/pk_gen.go index d0e015583..5a6315eff 100644 --- a/kem/mceliece/mceliece348864/pk_gen.go +++ b/kem/mceliece/mceliece348864/pk_gen.go @@ -86,7 +86,6 @@ func pkGen(pk *[pkNRows * pkRowBytes]byte, irr []byte, perm *[1 << gfBits]uint32 blockIdx = nblocksI ) mat := [pkNRows][nblocksH]uint64{} - ops := [pkNRows][nblocksI]uint64{} var mask uint64 irrInt := [gfBits]uint64{} @@ -97,6 +96,8 @@ func pkGen(pk *[pkNRows * pkRowBytes]byte, irr []byte, perm *[1 << gfBits]uint32 tmp := [gfBits]uint64{} list := [1 << gfBits]uint64{} + ops := [pkNRows][nblocksI]uint64{} + oneRow := [exponent]uint64{} // compute the inverses @@ -174,6 +175,7 @@ func pkGen(pk *[pkNRows * pkRowBytes]byte, irr []byte, perm *[1 << gfBits]uint32 mat[row][c] ^= mat[k][c] & mask ops[row][c] ^= ops[k][c] & mask } + } // return if not systematic if ((mat[row][i] >> j) & 1) == 0 { @@ -187,11 +189,15 @@ func pkGen(pk *[pkNRows * pkRowBytes]byte, irr []byte, perm *[1 << gfBits]uint32 for c := 0; c < nblocksI; c++ { mat[k][c] ^= mat[row][c] & mask + ops[k][c] ^= ops[row][c] & mask + } } } + pkp := pk[:] + // computing the lineaer map required to obatin the systematic form for row := pkNRows - 1; row >= 0; row-- { @@ -222,8 +228,6 @@ func pkGen(pk *[pkNRows * pkRowBytes]byte, irr []byte, perm *[1 << gfBits]uint32 } } - pkp := pk[:] - for row := 0; row < pkNRows; row++ { for k := 0; k < nblocksH; k++ { oneRow[k] = 0 diff --git a/kem/mceliece/mceliece348864f/fft.go b/kem/mceliece/mceliece348864f/fft.go new file mode 100644 index 000000000..bc2660d09 --- /dev/null +++ b/kem/mceliece/mceliece348864f/fft.go @@ -0,0 +1,65 @@ +// Code generated from fft_348864.templ.go. DO NOT EDIT. + +// The following code is translated from the C `vec` Additional Implementation +// from the NIST round 3 submission package. + +package mceliece348864f + +import "github.com/cloudflare/circl/kem/mceliece/internal" + +func fft(out *[exponent][gfBits]uint64, in *[gfBits]uint64) { + radixConversions(in) + butterflies(out, in) +} + +func radixConversions(in *[gfBits]uint64) { + for j := 0; j <= 4; j++ { + for i := 0; i < gfBits; i++ { + for k := 4; k >= j; k-- { + in[i] ^= (in[i] & internal.RadixConversionsMask[k][0]) >> (1 << k) + in[i] ^= (in[i] & internal.RadixConversionsMask[k][1]) >> (1 << k) + } + } + + vecMul(in, in, &internal.RadixConversionsS4096[j]) // scaling + } +} + +func butterflies(out *[exponent][gfBits]uint64, in *[gfBits]uint64) { + tmp := [gfBits]uint64{} + var constsPtr int + // broadcast + for j := 0; j < 64; j++ { + for i := 0; i < gfBits; i++ { + out[j][i] = (in[i] >> internal.ButterfliesReversal4096[j]) & 1 + out[j][i] = -out[j][i] + } + } + + // butterflies + for i := 0; i <= 5; i++ { + s := 1 << i + + for j := 0; j < 64; j += 2 * s { + for k := j; k < j+s; k++ { + vecMul(&tmp, &out[k+s], &internal.ButterfliesConsts4096[constsPtr+(k-j)]) + + for b := 0; b < gfBits; b++ { + out[k][b] ^= tmp[b] + } + for b := 0; b < gfBits; b++ { + out[k+s][b] ^= out[k][b] + } + } + } + + constsPtr += 1 << i + } + + // adding the part contributed by x^64 + for i := 0; i < 64; i++ { + for b := 0; b < gfBits; b++ { + out[i][b] ^= internal.Powers4096[i][b] + } + } +} diff --git a/kem/mceliece/mceliece348864f/pk_gen.go b/kem/mceliece/mceliece348864f/pk_gen.go index 404adf407..375caafa0 100644 --- a/kem/mceliece/mceliece348864f/pk_gen.go +++ b/kem/mceliece/mceliece348864f/pk_gen.go @@ -1,12 +1,76 @@ -// Code generated from pk_gen.templ.go. DO NOT EDIT. +// Code generated from pk_gen_vec.templ.go. DO NOT EDIT. + +// The following code is translated from the C `vec` Additional Implementation +// from the NIST round 3 submission package. package mceliece348864f import ( "github.com/cloudflare/circl/kem/mceliece/internal" - "github.com/cloudflare/circl/math/gf4096" ) +const exponent = 64 + +func storeI(out []byte, in uint64, i int) { + for j := 0; j < i; j++ { + out[j] = byte((in >> (j * 8)) & 0xFF) + } +} + +func deBitSlicing(out *[1 << gfBits]uint64, in *[exponent][gfBits]uint64) { + for i := 0; i < (1 << gfBits); i++ { + out[i] = 0 + } + + for i := 0; i < exponent; i++ { + for j := gfBits - 1; j >= 0; j-- { + for r := 0; r < 64; r++ { + out[i*64+r] <<= 1 + out[i*64+r] |= (in[i][j] >> r) & 1 + } + } + } +} + +func toBitslicing2x(out0 *[exponent][gfBits]uint64, out1 *[exponent][gfBits]uint64, in *[1 << gfBits]uint64) { + for i := 0; i < exponent; i++ { + for j := gfBits - 1; j >= 0; j-- { + for r := 63; r >= 0; r-- { + out1[i][j] <<= 1 + out1[i][j] |= (in[i*64+r] >> (j + gfBits)) & 1 + } + } + + for j := gfBits - 1; j >= 0; j-- { + for r := 63; r >= 0; r-- { + out0[i][gfBits-1-j] <<= 1 + out0[i][gfBits-1-j] |= (in[i*64+r] >> j) & 1 + } + } + } +} + +func irrLoad(out *[gfBits]uint64, in []byte) { + irr := [sysT + 1]uint16{} + + for i := 0; i < sysT; i++ { + irr[i] = loadGf(in[i*2:]) + } + + irr[sysT] = 1 + + for i := 0; i < gfBits; i++ { + out[i] = 0 + } + + for i := sysT; i >= 0; i-- { + for j := 0; j < gfBits; j++ { + out[j] <<= 1 + out[j] |= uint64(irr[i]>>j) & 1 + } + } +} + // Return number of trailing zeros of the non-zero input `input` func ctz(in uint64) int { m := 0 @@ -29,16 +93,16 @@ func sameMask64(x, y uint16) uint64 { } // Move columns in matrix `mat` -func movColumns(mat *[pkNRows][sysN / 8]byte, pi []int16, pivots *uint64) bool { +func movColumns(mat *[pkNRows][(sysN + 63) / 64]uint64, pi []int16, pivots *uint64) bool { buf := [64]uint64{} ctzList := [32]uint64{} row := pkNRows - 32 - blockIdx := row / 8 + blockIdx := row / 64 // extract the 32x64 matrix for i := 0; i < 32; i++ { - buf[i] = load8(mat[row+i][blockIdx:]) + buf[i] = (mat[row+i][blockIdx+0] >> 32) | (mat[row+i][blockIdx+1] << 32) } // compute the column indices of pivots by Gaussian elimination. @@ -74,7 +138,7 @@ func movColumns(mat *[pkNRows][sysN / 8]byte, pi []int16, pivots *uint64) bool { for j := 0; j < 32; j++ { for k := j + 1; k < 64; k++ { d := uint64(pi[row+j] ^ pi[row+k]) - d &= sameMask64(uint16(k), uint16(ctzList[j])) + d &= sameMask64(uint16(k), uint16(ctzList[j])) & 0xFFFF pi[row+j] ^= int16(d) pi[row+k] ^= int16(d) } @@ -83,7 +147,7 @@ func movColumns(mat *[pkNRows][sysN / 8]byte, pi []int16, pivots *uint64) bool { // moving columns of mat according to the column indices of pivots for i := 0; i < pkNRows; i++ { - t := load8(mat[i][blockIdx:]) + t := (mat[i][blockIdx+0] >> 32) | (mat[i][blockIdx+1] << 32) for j := 0; j < 32; j++ { d := t >> j @@ -94,14 +158,14 @@ func movColumns(mat *[pkNRows][sysN / 8]byte, pi []int16, pivots *uint64) bool { t ^= d << j } - store8(mat[i][blockIdx:], t) + mat[i][blockIdx+0] = (mat[i][blockIdx+0] << 32 >> 32) | (t << 32) + mat[i][blockIdx+1] = (mat[i][blockIdx+1] >> 32 << 32) | (t >> 32) } return true } -// TODO: Optimize the Gaussian Elimination loop, possibly by porting the `vec` Reference Implementation? // nolint:unparam // Public key generation. Generate the public key `pk`, // permutation `pi` and pivot element `pivots` based on the @@ -109,123 +173,133 @@ func movColumns(mat *[pkNRows][sysN / 8]byte, pi []int16, pivots *uint64) bool { // `pk` has `max(1 << GFBITS, SYS_N)` elements which is // 4096 for mceliece348864 and 8192 for mceliece8192128. // `sk` has `2 * SYS_T` elements and perm `1 << GFBITS`. -func pkGen(pk *[pkNRows * pkRowBytes]byte, sk []byte, perm *[1 << gfBits]uint32, pi *[1 << gfBits]int16, pivots *uint64) bool { - buf := [1 << gfBits]uint64{} - mat := [pkNRows][sysN / 8]byte{} - g := [sysT + 1]gf{} - L := [sysN]gf{} - inv := [sysN]gf{} - - g[sysT] = 1 - for i := 0; i < sysT; i++ { - g[i] = loadGf(sk) - sk = sk[2:] +func pkGen(pk *[pkNRows * pkRowBytes]byte, irr []byte, perm *[1 << gfBits]uint32, pi *[1 << gfBits]int16, pivots *uint64) bool { + const ( + nblocksH = (sysN + 63) / 64 + nblocksI = (pkNRows + 63) / 64 + + blockIdx = nblocksI + ) + mat := [pkNRows][nblocksH]uint64{} + var mask uint64 + + irrInt := [gfBits]uint64{} + + consts := [exponent][gfBits]uint64{} + eval := [exponent][gfBits]uint64{} + prod := [exponent][gfBits]uint64{} + tmp := [gfBits]uint64{} + list := [1 << gfBits]uint64{} + + // compute the inverses + irrLoad(&irrInt, irr) + fft(&eval, &irrInt) + vecCopy(&prod[0], &eval[0]) + for i := 1; i < exponent; i++ { + vecMul(&prod[i], &prod[i-1], &eval[i]) } - - for i := 0; i < 1<= 0; i-- { + vecMul(&prod[i+1], &prod[i], &tmp) + vecMul(&tmp, &tmp, &eval[i+1]) } - - internal.UInt64Sort(buf[:], 1<> 31) == (buf[i] >> 31) { + if (list[i-1] >> 31) == (list[i] >> 31) { return false } } + toBitslicing2x(&consts, &prod, &list) for i := 0; i < (1 << gfBits); i++ { - pi[i] = int16(buf[i] & gfMask) - } - - for i := 0; i < sysN; i++ { - L[i] = bitRev(gf(pi[i])) + pi[i] = int16(list[i] & gfMask) } - // filling the matrix - root(&inv, &g, &L) - - for i := 0; i < sysN; i++ { - inv[i] = gf4096.Inv(inv[i]) + for j := 0; j < nblocksH; j++ { + for k := 0; k < gfBits; k++ { + mat[k][j] = prod[j][k] + } } - for i := 0; i < sysT; i++ { - for j := 0; j < sysN; j += 8 { + for i := 1; i < sysT; i++ { + for j := 0; j < nblocksH; j++ { + vecMul(&prod[j], &prod[j], &consts[j]) for k := 0; k < gfBits; k++ { - b := byte(inv[j+7]>>k) & 1 - b <<= 1 - b |= byte(inv[j+6]>>k) & 1 - b <<= 1 - b |= byte(inv[j+5]>>k) & 1 - b <<= 1 - b |= byte(inv[j+4]>>k) & 1 - b <<= 1 - b |= byte(inv[j+3]>>k) & 1 - b <<= 1 - b |= byte(inv[j+2]>>k) & 1 - b <<= 1 - b |= byte(inv[j+1]>>k) & 1 - b <<= 1 - b |= byte(inv[j+0]>>k) & 1 - - mat[i*gfBits+k][j/8] = b + mat[i*gfBits+k][j] = prod[j][k] } } - - for j := 0; j < sysN; j++ { - inv[j] = gf4096.Mul(inv[j], L[j]) - } } // gaussian elimination - for i := 0; i < (pkNRows+7)/8; i++ { - for j := 0; j < 8; j++ { - row := i*8 + j - if row >= pkNRows { - break - } + for row := 0; row < pkNRows; row++ { + i := row >> 6 + j := row & 63 - if row == pkNRows-32 { - if !movColumns(&mat, pi[:], pivots) { - return false - } + if row == pkNRows-32 { + if !movColumns(&mat, pi[:], pivots) { + return false } + } - for k := row + 1; k < pkNRows; k++ { - mask := mat[row][i] ^ mat[k][i] - mask >>= j - mask &= 1 - mask = -mask + for k := row + 1; k < pkNRows; k++ { + mask = mat[row][i] >> j + mask &= 1 + mask -= 1 - for c := 0; c < sysN/8; c++ { - mat[row][c] ^= mat[k][c] & mask - } + for c := 0; c < nblocksH; c++ { + mat[row][c] ^= mat[k][c] & mask } - // return if not systematic - if ((mat[row][i] >> j) & 1) == 0 { - return false + } + // return if not systematic + if ((mat[row][i] >> j) & 1) == 0 { + return false + } + + for k := 0; k < row; k++ { + mask = mat[k][i] >> j + mask &= 1 + mask = -mask + + for c := 0; c < nblocksH; c++ { + mat[k][c] ^= mat[row][c] & mask } + } - for k := 0; k < pkNRows; k++ { - if k != row { - mask := mat[k][i] >> j - mask &= 1 - mask = -mask + for k := row + 1; k < pkNRows; k++ { + mask = mat[k][i] >> j + mask &= 1 + mask = -mask - for c := 0; c < sysN/8; c++ { - mat[k][c] ^= mat[row][c] & mask - } - } + for c := 0; c < nblocksH; c++ { + mat[k][c] ^= mat[row][c] & mask } } } + pkp := pk[:] + for i := 0; i < pkNRows; i++ { - copy(pk[i*pkRowBytes:], mat[i][pkNRows/8:pkNRows/8+pkRowBytes]) + + var j int + for j = nblocksI; j < nblocksH-1; j++ { + store8(pkp, mat[i][j]) + pkp = pkp[8:] + } + storeI(pkp, mat[i][j], pkRowBytes%8) + pkp = pkp[pkRowBytes%8:] + } return true diff --git a/kem/mceliece/mceliece348864f/vec.go b/kem/mceliece/mceliece348864f/vec.go new file mode 100644 index 000000000..b15f5ce40 --- /dev/null +++ b/kem/mceliece/mceliece348864f/vec.go @@ -0,0 +1,122 @@ +// Code generated from vec.templ.go. DO NOT EDIT. + +// The following code is translated from the C `vec` Additional Implementation +// from the NIST round 3 submission package. + +package mceliece348864f + +func vecMul(h, f, g *[gfBits]uint64) { + buf := [2*gfBits - 1]uint64{} + + for i := 0; i < 2*gfBits-1; i++ { + buf[i] = 0 + } + + for i := 0; i < gfBits; i++ { + for j := 0; j < gfBits; j++ { + buf[i+j] ^= f[i] & g[j] + } + } + + for i := 2*gfBits - 2; i >= gfBits; i-- { + + buf[i-gfBits+3] ^= buf[i] + buf[i-gfBits+0] ^= buf[i] + + } + + for i := 0; i < gfBits; i++ { + h[i] = buf[i] + } +} + +// bitsliced field squarings +func vecSq(out, in *[gfBits]uint64) { + result := [gfBits]uint64{} + + result[0] = in[0] ^ in[6] + result[1] = in[11] + result[2] = in[1] ^ in[7] + result[3] = in[6] + result[4] = in[2] ^ in[11] ^ in[8] + result[5] = in[7] + result[6] = in[3] ^ in[9] + result[7] = in[8] + result[8] = in[4] ^ in[10] + result[9] = in[9] + result[10] = in[5] ^ in[11] + result[11] = in[10] + + for i := 0; i < gfBits; i++ { + out[i] = result[i] + } +} + +// bitsliced field inverses +func vecInv(out, in *[gfBits]uint64) { + tmp11 := [gfBits]uint64{} + tmp1111 := [gfBits]uint64{} + + vecCopy(out, in) + + vecSq(out, out) + vecMul(&tmp11, out, in) // ^11 + + vecSq(out, &tmp11) + vecSq(out, out) + vecMul(&tmp1111, out, &tmp11) // ^1111 + + vecSq(out, &tmp1111) + vecSq(out, out) + vecSq(out, out) + vecSq(out, out) + vecMul(out, out, &tmp1111) // ^11111111 + + vecSq(out, out) + vecSq(out, out) + vecMul(out, out, &tmp11) // 1111111111 + + vecSq(out, out) + vecMul(out, out, in) // 11111111111 + + vecSq(out, out) // 111111111110 +} + +func vecSetBits(b uint64) uint64 { + ret := -b + return ret +} + +func vecSet116b(v uint16) uint64 { + ret := uint64(v) + ret |= ret << 16 + ret |= ret << 32 + + return ret +} + +func vecCopy(out, in *[gfBits]uint64) { + for i := 0; i < gfBits; i++ { + out[i] = in[i] + } +} + +func vecOrReduce(a *[gfBits]uint64) uint64 { + ret := a[0] + for i := 1; i < gfBits; i++ { + ret |= a[i] + } + + return ret +} + +func vecTestZ(a uint64) int { + a |= a >> 32 + a |= a >> 16 + a |= a >> 8 + a |= a >> 4 + a |= a >> 2 + a |= a >> 1 + + return int((a & 1) ^ 1) +} diff --git a/kem/mceliece/mceliece460896/pk_gen.go b/kem/mceliece/mceliece460896/pk_gen.go index 08fdc0df8..e01440584 100644 --- a/kem/mceliece/mceliece460896/pk_gen.go +++ b/kem/mceliece/mceliece460896/pk_gen.go @@ -94,7 +94,6 @@ func pkGen(pk *[pkNRows * pkRowBytes]byte, irr []byte, perm *[1 << gfBits]uint32 tail = pkNRows % 64 ) mat := [pkNRows][nblocksH]uint64{} - ops := [pkNRows][nblocksI]uint64{} var mask uint64 irrInt := [2][gfBits]uint64{} @@ -105,6 +104,8 @@ func pkGen(pk *[pkNRows * pkRowBytes]byte, irr []byte, perm *[1 << gfBits]uint32 tmp := [gfBits]uint64{} list := [1 << gfBits]uint64{} + ops := [pkNRows][nblocksI]uint64{} + oneRow := [exponent]uint64{} // compute the inverses @@ -187,6 +188,7 @@ func pkGen(pk *[pkNRows * pkRowBytes]byte, irr []byte, perm *[1 << gfBits]uint32 mat[row][c] ^= mat[k][c] & mask ops[row][c] ^= ops[k][c] & mask } + } // return if not systematic if ((mat[row][i] >> j) & 1) == 0 { @@ -200,11 +202,15 @@ func pkGen(pk *[pkNRows * pkRowBytes]byte, irr []byte, perm *[1 << gfBits]uint32 for c := 0; c < nblocksI; c++ { mat[k][c] ^= mat[row][c] & mask + ops[k][c] ^= ops[row][c] & mask + } } } + pkp := pk[:] + // computing the lineaer map required to obatin the systematic form for row := pkNRows - 1; row >= 0; row-- { @@ -235,8 +241,6 @@ func pkGen(pk *[pkNRows * pkRowBytes]byte, irr []byte, perm *[1 << gfBits]uint32 } } - pkp := pk[:] - for i := 0; i < pkNRows; i++ { mat[i][blockIdx] = column[i] } diff --git a/kem/mceliece/mceliece460896f/fft.go b/kem/mceliece/mceliece460896f/fft.go new file mode 100644 index 000000000..1f0d951bf --- /dev/null +++ b/kem/mceliece/mceliece460896f/fft.go @@ -0,0 +1,208 @@ +// Code generated from fft_other.templ.go. DO NOT EDIT. + +// The following code is translated from the C `vec` Additional Implementation +// from the NIST round 3 submission package. + +package mceliece460896f + +import "github.com/cloudflare/circl/kem/mceliece/internal" + +func fft(out *[exponent][gfBits]uint64, in *[2][gfBits]uint64) { + radixConversions(in) + butterflies(out, in) +} + +func radixConversions(in *[2][gfBits]uint64) { + for j := 0; j <= 5; j++ { + for i := 0; i < gfBits; i++ { + in[1][i] ^= in[1][i] >> 32 + in[0][i] ^= in[1][i] << 32 + } + + for i := 0; i < gfBits; i++ { + for k := 4; k >= j; k-- { + in[0][i] ^= (in[0][i] & internal.RadixConversionsMask[k][0]) >> (1 << k) + in[0][i] ^= (in[0][i] & internal.RadixConversionsMask[k][1]) >> (1 << k) + in[1][i] ^= (in[1][i] & internal.RadixConversionsMask[k][0]) >> (1 << k) + in[1][i] ^= (in[1][i] & internal.RadixConversionsMask[k][1]) >> (1 << k) + } + } + + if j < 5 { + vecMul(&in[0], &in[0], &internal.RadixConversionsS[j][0]) + vecMul(&in[1], &in[1], &internal.RadixConversionsS[j][1]) + } + } +} + +func butterflies(out *[exponent][gfBits]uint64, in *[2][gfBits]uint64) { + tmp := [gfBits]uint64{} + pre := [8][gfBits]uint64{} + buf := [128]uint64{} + constsPtr := 2 + for i := 0; i < 7; i++ { + for j := 0; j < gfBits; j++ { + pre[i][j] = uint64(internal.ButterfliesBeta[i]>>j) & 1 + pre[i][j] = -pre[i][j] + } + + vecMul(&pre[i], &in[1], &pre[i]) + } + for i := 0; i < gfBits; i++ { + buf[0] = in[0][i] + + buf[1] = buf[0] ^ pre[0][i] + buf[32] = in[0][i] ^ pre[5][i] + buf[3] = buf[1] ^ pre[1][i] + buf[96] = buf[32] ^ pre[6][i] + buf[97] = buf[96] ^ pre[0][i] + buf[2] = in[0][i] ^ pre[1][i] + buf[99] = buf[97] ^ pre[1][i] + buf[6] = buf[2] ^ pre[2][i] + buf[98] = buf[99] ^ pre[0][i] + buf[7] = buf[6] ^ pre[0][i] + buf[102] = buf[98] ^ pre[2][i] + buf[5] = buf[7] ^ pre[1][i] + buf[103] = buf[102] ^ pre[0][i] + buf[101] = buf[103] ^ pre[1][i] + buf[4] = in[0][i] ^ pre[2][i] + buf[100] = buf[101] ^ pre[0][i] + buf[12] = buf[4] ^ pre[3][i] + buf[108] = buf[100] ^ pre[3][i] + buf[13] = buf[12] ^ pre[0][i] + buf[109] = buf[108] ^ pre[0][i] + buf[15] = buf[13] ^ pre[1][i] + buf[111] = buf[109] ^ pre[1][i] + buf[14] = buf[15] ^ pre[0][i] + buf[110] = buf[111] ^ pre[0][i] + buf[10] = buf[14] ^ pre[2][i] + buf[106] = buf[110] ^ pre[2][i] + buf[11] = buf[10] ^ pre[0][i] + buf[107] = buf[106] ^ pre[0][i] + buf[9] = buf[11] ^ pre[1][i] + buf[105] = buf[107] ^ pre[1][i] + buf[104] = buf[105] ^ pre[0][i] + buf[8] = in[0][i] ^ pre[3][i] + buf[120] = buf[104] ^ pre[4][i] + buf[24] = buf[8] ^ pre[4][i] + buf[121] = buf[120] ^ pre[0][i] + buf[25] = buf[24] ^ pre[0][i] + buf[123] = buf[121] ^ pre[1][i] + buf[27] = buf[25] ^ pre[1][i] + buf[122] = buf[123] ^ pre[0][i] + buf[26] = buf[27] ^ pre[0][i] + buf[126] = buf[122] ^ pre[2][i] + buf[30] = buf[26] ^ pre[2][i] + buf[127] = buf[126] ^ pre[0][i] + buf[31] = buf[30] ^ pre[0][i] + buf[125] = buf[127] ^ pre[1][i] + buf[29] = buf[31] ^ pre[1][i] + buf[124] = buf[125] ^ pre[0][i] + buf[28] = buf[29] ^ pre[0][i] + buf[116] = buf[124] ^ pre[3][i] + buf[20] = buf[28] ^ pre[3][i] + buf[117] = buf[116] ^ pre[0][i] + buf[21] = buf[20] ^ pre[0][i] + buf[119] = buf[117] ^ pre[1][i] + buf[23] = buf[21] ^ pre[1][i] + buf[118] = buf[119] ^ pre[0][i] + buf[22] = buf[23] ^ pre[0][i] + buf[114] = buf[118] ^ pre[2][i] + buf[18] = buf[22] ^ pre[2][i] + buf[115] = buf[114] ^ pre[0][i] + buf[19] = buf[18] ^ pre[0][i] + buf[113] = buf[115] ^ pre[1][i] + buf[17] = buf[19] ^ pre[1][i] + buf[112] = buf[113] ^ pre[0][i] + buf[80] = buf[112] ^ pre[5][i] + buf[16] = in[0][i] ^ pre[4][i] + buf[81] = buf[80] ^ pre[0][i] + buf[48] = buf[16] ^ pre[5][i] + buf[83] = buf[81] ^ pre[1][i] + buf[49] = buf[48] ^ pre[0][i] + buf[82] = buf[83] ^ pre[0][i] + buf[51] = buf[49] ^ pre[1][i] + buf[86] = buf[82] ^ pre[2][i] + buf[50] = buf[51] ^ pre[0][i] + buf[87] = buf[86] ^ pre[0][i] + buf[54] = buf[50] ^ pre[2][i] + buf[85] = buf[87] ^ pre[1][i] + buf[55] = buf[54] ^ pre[0][i] + buf[84] = buf[85] ^ pre[0][i] + buf[53] = buf[55] ^ pre[1][i] + buf[92] = buf[84] ^ pre[3][i] + buf[52] = buf[53] ^ pre[0][i] + buf[93] = buf[92] ^ pre[0][i] + buf[60] = buf[52] ^ pre[3][i] + buf[95] = buf[93] ^ pre[1][i] + buf[61] = buf[60] ^ pre[0][i] + buf[94] = buf[95] ^ pre[0][i] + buf[63] = buf[61] ^ pre[1][i] + buf[90] = buf[94] ^ pre[2][i] + buf[62] = buf[63] ^ pre[0][i] + buf[91] = buf[90] ^ pre[0][i] + buf[58] = buf[62] ^ pre[2][i] + buf[89] = buf[91] ^ pre[1][i] + buf[59] = buf[58] ^ pre[0][i] + buf[88] = buf[89] ^ pre[0][i] + buf[57] = buf[59] ^ pre[1][i] + buf[72] = buf[88] ^ pre[4][i] + buf[56] = buf[57] ^ pre[0][i] + buf[73] = buf[72] ^ pre[0][i] + buf[40] = buf[56] ^ pre[4][i] + buf[75] = buf[73] ^ pre[1][i] + buf[41] = buf[40] ^ pre[0][i] + buf[74] = buf[75] ^ pre[0][i] + buf[43] = buf[41] ^ pre[1][i] + buf[78] = buf[74] ^ pre[2][i] + buf[42] = buf[43] ^ pre[0][i] + buf[79] = buf[78] ^ pre[0][i] + buf[46] = buf[42] ^ pre[2][i] + buf[77] = buf[79] ^ pre[1][i] + buf[47] = buf[46] ^ pre[0][i] + buf[76] = buf[77] ^ pre[0][i] + buf[45] = buf[47] ^ pre[1][i] + buf[68] = buf[76] ^ pre[3][i] + buf[44] = buf[45] ^ pre[0][i] + buf[69] = buf[68] ^ pre[0][i] + buf[36] = buf[44] ^ pre[3][i] + buf[71] = buf[69] ^ pre[1][i] + buf[37] = buf[36] ^ pre[0][i] + buf[70] = buf[71] ^ pre[0][i] + buf[39] = buf[37] ^ pre[1][i] + buf[66] = buf[70] ^ pre[2][i] + buf[38] = buf[39] ^ pre[0][i] + buf[67] = buf[66] ^ pre[0][i] + buf[34] = buf[38] ^ pre[2][i] + buf[65] = buf[67] ^ pre[1][i] + buf[35] = buf[34] ^ pre[0][i] + buf[33] = buf[35] ^ pre[1][i] + buf[64] = in[0][i] ^ pre[6][i] + + transpose64x64((*[64]uint64)(buf[:64]), (*[64]uint64)(buf[:64])) + transpose64x64((*[64]uint64)(buf[64:]), (*[64]uint64)(buf[64:])) + + for j := 0; j < 128; j++ { + out[internal.ButterfliesReversal[j]][i] = buf[j] + } + } + + for i := 1; i <= 6; i++ { + s := 1 << i + + for j := 0; j < 128; j += 2 * s { + for k := j; k < j+s; k++ { + vecMul(&tmp, &out[k+s], &internal.ButterfliesConst[constsPtr+(k-j)]) + + for b := 0; b < gfBits; b++ { + out[k][b] ^= tmp[b] + } + for b := 0; b < gfBits; b++ { + out[k+s][b] ^= out[k][b] + } + } + } + + constsPtr += 1 << i + } +} diff --git a/kem/mceliece/mceliece460896f/pk_gen.go b/kem/mceliece/mceliece460896f/pk_gen.go index 6b60ce9aa..7632b9d4b 100644 --- a/kem/mceliece/mceliece460896f/pk_gen.go +++ b/kem/mceliece/mceliece460896f/pk_gen.go @@ -1,12 +1,83 @@ -// Code generated from pk_gen.templ.go. DO NOT EDIT. +// Code generated from pk_gen_vec.templ.go. DO NOT EDIT. + +// The following code is translated from the C `vec` Additional Implementation +// from the NIST round 3 submission package. package mceliece460896f import ( "github.com/cloudflare/circl/kem/mceliece/internal" - "github.com/cloudflare/circl/math/gf8192" ) +const exponent = 128 + +func storeI(out []byte, in uint64, i int) { + for j := 0; j < i; j++ { + out[j] = byte((in >> (j * 8)) & 0xFF) + } +} + +func deBitSlicing(out *[1 << gfBits]uint64, in *[exponent][gfBits]uint64) { + for i := 0; i < (1 << gfBits); i++ { + out[i] = 0 + } + + for i := 0; i < exponent; i++ { + for j := gfBits - 1; j >= 0; j-- { + for r := 0; r < 64; r++ { + out[i*64+r] <<= 1 + out[i*64+r] |= (in[i][j] >> r) & 1 + } + } + } +} + +func toBitslicing2x(out0 *[exponent][gfBits]uint64, out1 *[exponent][gfBits]uint64, in *[1 << gfBits]uint64) { + for i := 0; i < exponent; i++ { + for j := gfBits - 1; j >= 0; j-- { + for r := 63; r >= 0; r-- { + out1[i][j] <<= 1 + out1[i][j] |= (in[i*64+r] >> (j + gfBits)) & 1 + } + } + + for j := gfBits - 1; j >= 0; j-- { + for r := 63; r >= 0; r-- { + out0[i][gfBits-1-j] <<= 1 + out0[i][gfBits-1-j] |= (in[i*64+r] >> j) & 1 + } + } + } +} + +func irrLoad(out *[2][gfBits]uint64, in []byte) { + irr := [sysT + 1]uint16{} + + for i := 0; i < sysT; i++ { + irr[i] = loadGf(in[i*2:]) + } + + irr[sysT] = 1 + + v := [2]uint64{} + for i := 0; i < gfBits; i++ { + v[0] = 0 + v[1] = 0 + + for j := 63; j >= 0; j-- { + v[0] <<= 1 + v[0] |= uint64(irr[j]>>i) & 1 + } + for j := sysT; j >= 64; j-- { + v[1] <<= 1 + v[1] |= uint64(irr[j]>>i) & 1 + } + + out[0][i] = v[0] + out[1][i] = v[1] + } +} + // Return number of trailing zeros of the non-zero input `input` func ctz(in uint64) int { m := 0 @@ -29,16 +100,16 @@ func sameMask64(x, y uint16) uint64 { } // Move columns in matrix `mat` -func movColumns(mat *[pkNRows][sysN / 8]byte, pi []int16, pivots *uint64) bool { +func movColumns(mat *[pkNRows][(sysN + 63) / 64]uint64, pi []int16, pivots *uint64) bool { buf := [64]uint64{} ctzList := [32]uint64{} row := pkNRows - 32 - blockIdx := row / 8 + blockIdx := row / 64 // extract the 32x64 matrix for i := 0; i < 32; i++ { - buf[i] = load8(mat[row+i][blockIdx:]) + buf[i] = mat[row+i][blockIdx] } // compute the column indices of pivots by Gaussian elimination. @@ -83,7 +154,7 @@ func movColumns(mat *[pkNRows][sysN / 8]byte, pi []int16, pivots *uint64) bool { // moving columns of mat according to the column indices of pivots for i := 0; i < pkNRows; i++ { - t := load8(mat[i][blockIdx:]) + t := mat[i][blockIdx] for j := 0; j < 32; j++ { d := t >> j @@ -94,14 +165,13 @@ func movColumns(mat *[pkNRows][sysN / 8]byte, pi []int16, pivots *uint64) bool { t ^= d << j } - store8(mat[i][blockIdx:], t) + mat[i][blockIdx] = t } return true } -// TODO: Optimize the Gaussian Elimination loop, possibly by porting the `vec` Reference Implementation? // nolint:unparam // Public key generation. Generate the public key `pk`, // permutation `pi` and pivot element `pivots` based on the @@ -109,123 +179,133 @@ func movColumns(mat *[pkNRows][sysN / 8]byte, pi []int16, pivots *uint64) bool { // `pk` has `max(1 << GFBITS, SYS_N)` elements which is // 4096 for mceliece348864 and 8192 for mceliece8192128. // `sk` has `2 * SYS_T` elements and perm `1 << GFBITS`. -func pkGen(pk *[pkNRows * pkRowBytes]byte, sk []byte, perm *[1 << gfBits]uint32, pi *[1 << gfBits]int16, pivots *uint64) bool { - buf := [1 << gfBits]uint64{} - mat := [pkNRows][sysN / 8]byte{} - g := [sysT + 1]gf{} - L := [sysN]gf{} - inv := [sysN]gf{} - - g[sysT] = 1 - for i := 0; i < sysT; i++ { - g[i] = loadGf(sk) - sk = sk[2:] +func pkGen(pk *[pkNRows * pkRowBytes]byte, irr []byte, perm *[1 << gfBits]uint32, pi *[1 << gfBits]int16, pivots *uint64) bool { + const ( + nblocksH = (sysN + 63) / 64 + nblocksI = (pkNRows + 63) / 64 + + blockIdx = nblocksI - 1 + tail = pkNRows % 64 + ) + mat := [pkNRows][nblocksH]uint64{} + var mask uint64 + + irrInt := [2][gfBits]uint64{} + + consts := [exponent][gfBits]uint64{} + eval := [exponent][gfBits]uint64{} + prod := [exponent][gfBits]uint64{} + tmp := [gfBits]uint64{} + list := [1 << gfBits]uint64{} + + // compute the inverses + irrLoad(&irrInt, irr) + fft(&eval, &irrInt) + vecCopy(&prod[0], &eval[0]) + for i := 1; i < exponent; i++ { + vecMul(&prod[i], &prod[i-1], &eval[i]) } - - for i := 0; i < 1<= 0; i-- { + vecMul(&prod[i+1], &prod[i], &tmp) + vecMul(&tmp, &tmp, &eval[i+1]) } - - internal.UInt64Sort(buf[:], 1<> 31) == (buf[i] >> 31) { + if (list[i-1] >> 31) == (list[i] >> 31) { return false } } + toBitslicing2x(&consts, &prod, &list) for i := 0; i < (1 << gfBits); i++ { - pi[i] = int16(buf[i] & gfMask) - } - - for i := 0; i < sysN; i++ { - L[i] = bitRev(gf(pi[i])) + pi[i] = int16(list[i] & gfMask) } - // filling the matrix - root(&inv, &g, &L) - - for i := 0; i < sysN; i++ { - inv[i] = gf8192.Inv(inv[i]) + for j := 0; j < nblocksH; j++ { + for k := 0; k < gfBits; k++ { + mat[k][j] = prod[j][k] + } } - for i := 0; i < sysT; i++ { - for j := 0; j < sysN; j += 8 { + for i := 1; i < sysT; i++ { + for j := 0; j < nblocksH; j++ { + vecMul(&prod[j], &prod[j], &consts[j]) for k := 0; k < gfBits; k++ { - b := byte(inv[j+7]>>k) & 1 - b <<= 1 - b |= byte(inv[j+6]>>k) & 1 - b <<= 1 - b |= byte(inv[j+5]>>k) & 1 - b <<= 1 - b |= byte(inv[j+4]>>k) & 1 - b <<= 1 - b |= byte(inv[j+3]>>k) & 1 - b <<= 1 - b |= byte(inv[j+2]>>k) & 1 - b <<= 1 - b |= byte(inv[j+1]>>k) & 1 - b <<= 1 - b |= byte(inv[j+0]>>k) & 1 - - mat[i*gfBits+k][j/8] = b + mat[i*gfBits+k][j] = prod[j][k] } } - - for j := 0; j < sysN; j++ { - inv[j] = gf8192.Mul(inv[j], L[j]) - } } // gaussian elimination - for i := 0; i < (pkNRows+7)/8; i++ { - for j := 0; j < 8; j++ { - row := i*8 + j - if row >= pkNRows { - break - } + for row := 0; row < pkNRows; row++ { + i := row >> 6 + j := row & 63 - if row == pkNRows-32 { - if !movColumns(&mat, pi[:], pivots) { - return false - } + if row == pkNRows-32 { + if !movColumns(&mat, pi[:], pivots) { + return false } + } - for k := row + 1; k < pkNRows; k++ { - mask := mat[row][i] ^ mat[k][i] - mask >>= j - mask &= 1 - mask = -mask + for k := row + 1; k < pkNRows; k++ { + mask = mat[row][i] >> j + mask &= 1 + mask -= 1 - for c := 0; c < sysN/8; c++ { - mat[row][c] ^= mat[k][c] & mask - } + for c := 0; c < nblocksH; c++ { + mat[row][c] ^= mat[k][c] & mask } - // return if not systematic - if ((mat[row][i] >> j) & 1) == 0 { - return false + } + // return if not systematic + if ((mat[row][i] >> j) & 1) == 0 { + return false + } + + for k := 0; k < row; k++ { + mask = mat[k][i] >> j + mask &= 1 + mask = -mask + + for c := 0; c < nblocksH; c++ { + mat[k][c] ^= mat[row][c] & mask } + } - for k := 0; k < pkNRows; k++ { - if k != row { - mask := mat[k][i] >> j - mask &= 1 - mask = -mask + for k := row + 1; k < pkNRows; k++ { + mask = mat[k][i] >> j + mask &= 1 + mask = -mask - for c := 0; c < sysN/8; c++ { - mat[k][c] ^= mat[row][c] & mask - } - } + for c := 0; c < nblocksH; c++ { + mat[k][c] ^= mat[row][c] & mask } } } + pkp := pk[:] + for i := 0; i < pkNRows; i++ { - copy(pk[i*pkRowBytes:], mat[i][pkNRows/8:pkNRows/8+pkRowBytes]) + + storeI(pkp, mat[i][nblocksI-1]>>tail, (64-tail)/8) + pkp = pkp[(64-tail)/8:] + for j := nblocksI; j < nblocksH; j++ { + store8(pkp, mat[i][j]) + pkp = pkp[8:] + } + } return true diff --git a/kem/mceliece/mceliece460896f/vec.go b/kem/mceliece/mceliece460896f/vec.go new file mode 100644 index 000000000..39458da88 --- /dev/null +++ b/kem/mceliece/mceliece460896f/vec.go @@ -0,0 +1,132 @@ +// Code generated from vec.templ.go. DO NOT EDIT. + +// The following code is translated from the C `vec` Additional Implementation +// from the NIST round 3 submission package. + +package mceliece460896f + +func vecMul(h, f, g *[gfBits]uint64) { + buf := [2*gfBits - 1]uint64{} + + for i := 0; i < 2*gfBits-1; i++ { + buf[i] = 0 + } + + for i := 0; i < gfBits; i++ { + for j := 0; j < gfBits; j++ { + buf[i+j] ^= f[i] & g[j] + } + } + + for i := 2*gfBits - 2; i >= gfBits; i-- { + + buf[i-gfBits+4] ^= buf[i] + buf[i-gfBits+3] ^= buf[i] + buf[i-gfBits+1] ^= buf[i] + buf[i-gfBits+0] ^= buf[i] + + } + + for i := 0; i < gfBits; i++ { + h[i] = buf[i] + } +} + +// bitsliced field squarings +func vecSq(out, in *[gfBits]uint64) { + result := [gfBits]uint64{} + + t := in[11] ^ in[12] + + result[0] = in[0] ^ in[11] + result[1] = in[7] ^ t + result[2] = in[1] ^ in[7] + result[3] = in[8] ^ t + result[4] = in[2] ^ in[7] + result[4] = result[4] ^ in[8] + result[4] = result[4] ^ t + result[5] = in[7] ^ in[9] + result[6] = in[3] ^ in[8] + result[6] = result[6] ^ in[9] + result[6] = result[6] ^ in[12] + result[7] = in[8] ^ in[10] + result[8] = in[4] ^ in[9] + result[8] = result[8] ^ in[10] + result[9] = in[9] ^ in[11] + result[10] = in[5] ^ in[10] + result[10] = result[10] ^ in[11] + result[11] = in[10] ^ in[12] + result[12] = in[6] ^ t + + for i := 0; i < gfBits; i++ { + out[i] = result[i] + } +} + +// bitsliced field inverses +func vecInv(out, in *[gfBits]uint64) { + tmp11 := [gfBits]uint64{} + tmp1111 := [gfBits]uint64{} + + vecCopy(out, in) + + vecSq(out, out) + vecMul(&tmp11, out, in) // ^11 + + vecSq(out, &tmp11) + vecSq(out, out) + vecMul(&tmp1111, out, &tmp11) // ^1111 + + vecSq(out, &tmp1111) + vecSq(out, out) + vecSq(out, out) + vecSq(out, out) + vecMul(out, out, &tmp1111) // ^11111111 + + vecSq(out, out) + vecSq(out, out) + vecSq(out, out) + vecSq(out, out) + vecMul(out, out, &tmp1111) // ^111111111111 + + vecSq(out, out) // ^1111111111110 +} + +func vecSetBits(b uint64) uint64 { + ret := -b + return ret +} + +func vecSet116b(v uint16) uint64 { + ret := uint64(v) + ret |= ret << 16 + ret |= ret << 32 + + return ret +} + +func vecCopy(out, in *[gfBits]uint64) { + for i := 0; i < gfBits; i++ { + out[i] = in[i] + } +} + +func vecOrReduce(a *[gfBits]uint64) uint64 { + ret := a[0] + for i := 1; i < gfBits; i++ { + ret |= a[i] + } + + return ret +} + +func vecTestZ(a uint64) int { + a |= a >> 32 + a |= a >> 16 + a |= a >> 8 + a |= a >> 4 + a |= a >> 2 + a |= a >> 1 + + return int((a & 1) ^ 1) +} diff --git a/kem/mceliece/mceliece6688128/pk_gen.go b/kem/mceliece/mceliece6688128/pk_gen.go index 17889b04b..a4d5c2502 100644 --- a/kem/mceliece/mceliece6688128/pk_gen.go +++ b/kem/mceliece/mceliece6688128/pk_gen.go @@ -89,7 +89,6 @@ func pkGen(pk *[pkNRows * pkRowBytes]byte, irr []byte, perm *[1 << gfBits]uint32 blockIdx = nblocksI ) mat := [pkNRows][nblocksH]uint64{} - ops := [pkNRows][nblocksI]uint64{} var mask uint64 irrInt := [2][gfBits]uint64{} @@ -100,6 +99,8 @@ func pkGen(pk *[pkNRows * pkRowBytes]byte, irr []byte, perm *[1 << gfBits]uint32 tmp := [gfBits]uint64{} list := [1 << gfBits]uint64{} + ops := [pkNRows][nblocksI]uint64{} + oneRow := [exponent]uint64{} // compute the inverses @@ -177,6 +178,7 @@ func pkGen(pk *[pkNRows * pkRowBytes]byte, irr []byte, perm *[1 << gfBits]uint32 mat[row][c] ^= mat[k][c] & mask ops[row][c] ^= ops[k][c] & mask } + } // return if not systematic if ((mat[row][i] >> j) & 1) == 0 { @@ -190,11 +192,15 @@ func pkGen(pk *[pkNRows * pkRowBytes]byte, irr []byte, perm *[1 << gfBits]uint32 for c := 0; c < nblocksI; c++ { mat[k][c] ^= mat[row][c] & mask + ops[k][c] ^= ops[row][c] & mask + } } } + pkp := pk[:] + // computing the lineaer map required to obatin the systematic form for row := pkNRows - 1; row >= 0; row-- { @@ -225,8 +231,6 @@ func pkGen(pk *[pkNRows * pkRowBytes]byte, irr []byte, perm *[1 << gfBits]uint32 } } - pkp := pk[:] - for row := 0; row < pkNRows; row++ { for k := 0; k < nblocksH; k++ { oneRow[k] = 0 diff --git a/kem/mceliece/mceliece6688128f/fft.go b/kem/mceliece/mceliece6688128f/fft.go new file mode 100644 index 000000000..56167de16 --- /dev/null +++ b/kem/mceliece/mceliece6688128f/fft.go @@ -0,0 +1,215 @@ +// Code generated from fft_other.templ.go. DO NOT EDIT. + +// The following code is translated from the C `vec` Additional Implementation +// from the NIST round 3 submission package. + +package mceliece6688128f + +import "github.com/cloudflare/circl/kem/mceliece/internal" + +func fft(out *[exponent][gfBits]uint64, in *[2][gfBits]uint64) { + radixConversions(in) + butterflies(out, in) +} + +func radixConversions(in *[2][gfBits]uint64) { + for j := 0; j <= 5; j++ { + for i := 0; i < gfBits; i++ { + in[1][i] ^= in[1][i] >> 32 + in[0][i] ^= in[1][i] << 32 + } + + for i := 0; i < gfBits; i++ { + for k := 4; k >= j; k-- { + in[0][i] ^= (in[0][i] & internal.RadixConversionsMask[k][0]) >> (1 << k) + in[0][i] ^= (in[0][i] & internal.RadixConversionsMask[k][1]) >> (1 << k) + in[1][i] ^= (in[1][i] & internal.RadixConversionsMask[k][0]) >> (1 << k) + in[1][i] ^= (in[1][i] & internal.RadixConversionsMask[k][1]) >> (1 << k) + } + } + + if j < 5 { + vecMul(&in[0], &in[0], &internal.RadixConversionsS[j][0]) + vecMul(&in[1], &in[1], &internal.RadixConversionsS[j][1]) + } + } +} + +func butterflies(out *[exponent][gfBits]uint64, in *[2][gfBits]uint64) { + tmp := [gfBits]uint64{} + pre := [8][gfBits]uint64{} + buf := [128]uint64{} + constsPtr := 2 + for i := 0; i < 7; i++ { + for j := 0; j < gfBits; j++ { + pre[i][j] = uint64(internal.ButterfliesBeta[i]>>j) & 1 + pre[i][j] = -pre[i][j] + } + + vecMul(&pre[i], &in[1], &pre[i]) + } + for i := 0; i < gfBits; i++ { + buf[0] = in[0][i] + + buf[1] = buf[0] ^ pre[0][i] + buf[32] = in[0][i] ^ pre[5][i] + buf[3] = buf[1] ^ pre[1][i] + buf[96] = buf[32] ^ pre[6][i] + buf[97] = buf[96] ^ pre[0][i] + buf[2] = in[0][i] ^ pre[1][i] + buf[99] = buf[97] ^ pre[1][i] + buf[6] = buf[2] ^ pre[2][i] + buf[98] = buf[99] ^ pre[0][i] + buf[7] = buf[6] ^ pre[0][i] + buf[102] = buf[98] ^ pre[2][i] + buf[5] = buf[7] ^ pre[1][i] + buf[103] = buf[102] ^ pre[0][i] + buf[101] = buf[103] ^ pre[1][i] + buf[4] = in[0][i] ^ pre[2][i] + buf[100] = buf[101] ^ pre[0][i] + buf[12] = buf[4] ^ pre[3][i] + buf[108] = buf[100] ^ pre[3][i] + buf[13] = buf[12] ^ pre[0][i] + buf[109] = buf[108] ^ pre[0][i] + buf[15] = buf[13] ^ pre[1][i] + buf[111] = buf[109] ^ pre[1][i] + buf[14] = buf[15] ^ pre[0][i] + buf[110] = buf[111] ^ pre[0][i] + buf[10] = buf[14] ^ pre[2][i] + buf[106] = buf[110] ^ pre[2][i] + buf[11] = buf[10] ^ pre[0][i] + buf[107] = buf[106] ^ pre[0][i] + buf[9] = buf[11] ^ pre[1][i] + buf[105] = buf[107] ^ pre[1][i] + buf[104] = buf[105] ^ pre[0][i] + buf[8] = in[0][i] ^ pre[3][i] + buf[120] = buf[104] ^ pre[4][i] + buf[24] = buf[8] ^ pre[4][i] + buf[121] = buf[120] ^ pre[0][i] + buf[25] = buf[24] ^ pre[0][i] + buf[123] = buf[121] ^ pre[1][i] + buf[27] = buf[25] ^ pre[1][i] + buf[122] = buf[123] ^ pre[0][i] + buf[26] = buf[27] ^ pre[0][i] + buf[126] = buf[122] ^ pre[2][i] + buf[30] = buf[26] ^ pre[2][i] + buf[127] = buf[126] ^ pre[0][i] + buf[31] = buf[30] ^ pre[0][i] + buf[125] = buf[127] ^ pre[1][i] + buf[29] = buf[31] ^ pre[1][i] + buf[124] = buf[125] ^ pre[0][i] + buf[28] = buf[29] ^ pre[0][i] + buf[116] = buf[124] ^ pre[3][i] + buf[20] = buf[28] ^ pre[3][i] + buf[117] = buf[116] ^ pre[0][i] + buf[21] = buf[20] ^ pre[0][i] + buf[119] = buf[117] ^ pre[1][i] + buf[23] = buf[21] ^ pre[1][i] + buf[118] = buf[119] ^ pre[0][i] + buf[22] = buf[23] ^ pre[0][i] + buf[114] = buf[118] ^ pre[2][i] + buf[18] = buf[22] ^ pre[2][i] + buf[115] = buf[114] ^ pre[0][i] + buf[19] = buf[18] ^ pre[0][i] + buf[113] = buf[115] ^ pre[1][i] + buf[17] = buf[19] ^ pre[1][i] + buf[112] = buf[113] ^ pre[0][i] + buf[80] = buf[112] ^ pre[5][i] + buf[16] = in[0][i] ^ pre[4][i] + buf[81] = buf[80] ^ pre[0][i] + buf[48] = buf[16] ^ pre[5][i] + buf[83] = buf[81] ^ pre[1][i] + buf[49] = buf[48] ^ pre[0][i] + buf[82] = buf[83] ^ pre[0][i] + buf[51] = buf[49] ^ pre[1][i] + buf[86] = buf[82] ^ pre[2][i] + buf[50] = buf[51] ^ pre[0][i] + buf[87] = buf[86] ^ pre[0][i] + buf[54] = buf[50] ^ pre[2][i] + buf[85] = buf[87] ^ pre[1][i] + buf[55] = buf[54] ^ pre[0][i] + buf[84] = buf[85] ^ pre[0][i] + buf[53] = buf[55] ^ pre[1][i] + buf[92] = buf[84] ^ pre[3][i] + buf[52] = buf[53] ^ pre[0][i] + buf[93] = buf[92] ^ pre[0][i] + buf[60] = buf[52] ^ pre[3][i] + buf[95] = buf[93] ^ pre[1][i] + buf[61] = buf[60] ^ pre[0][i] + buf[94] = buf[95] ^ pre[0][i] + buf[63] = buf[61] ^ pre[1][i] + buf[90] = buf[94] ^ pre[2][i] + buf[62] = buf[63] ^ pre[0][i] + buf[91] = buf[90] ^ pre[0][i] + buf[58] = buf[62] ^ pre[2][i] + buf[89] = buf[91] ^ pre[1][i] + buf[59] = buf[58] ^ pre[0][i] + buf[88] = buf[89] ^ pre[0][i] + buf[57] = buf[59] ^ pre[1][i] + buf[72] = buf[88] ^ pre[4][i] + buf[56] = buf[57] ^ pre[0][i] + buf[73] = buf[72] ^ pre[0][i] + buf[40] = buf[56] ^ pre[4][i] + buf[75] = buf[73] ^ pre[1][i] + buf[41] = buf[40] ^ pre[0][i] + buf[74] = buf[75] ^ pre[0][i] + buf[43] = buf[41] ^ pre[1][i] + buf[78] = buf[74] ^ pre[2][i] + buf[42] = buf[43] ^ pre[0][i] + buf[79] = buf[78] ^ pre[0][i] + buf[46] = buf[42] ^ pre[2][i] + buf[77] = buf[79] ^ pre[1][i] + buf[47] = buf[46] ^ pre[0][i] + buf[76] = buf[77] ^ pre[0][i] + buf[45] = buf[47] ^ pre[1][i] + buf[68] = buf[76] ^ pre[3][i] + buf[44] = buf[45] ^ pre[0][i] + buf[69] = buf[68] ^ pre[0][i] + buf[36] = buf[44] ^ pre[3][i] + buf[71] = buf[69] ^ pre[1][i] + buf[37] = buf[36] ^ pre[0][i] + buf[70] = buf[71] ^ pre[0][i] + buf[39] = buf[37] ^ pre[1][i] + buf[66] = buf[70] ^ pre[2][i] + buf[38] = buf[39] ^ pre[0][i] + buf[67] = buf[66] ^ pre[0][i] + buf[34] = buf[38] ^ pre[2][i] + buf[65] = buf[67] ^ pre[1][i] + buf[35] = buf[34] ^ pre[0][i] + buf[33] = buf[35] ^ pre[1][i] + buf[64] = in[0][i] ^ pre[6][i] + + transpose64x64((*[64]uint64)(buf[:64]), (*[64]uint64)(buf[:64])) + transpose64x64((*[64]uint64)(buf[64:]), (*[64]uint64)(buf[64:])) + + for j := 0; j < 128; j++ { + out[internal.ButterfliesReversal[j]][i] = buf[j] + } + } + + for i := 1; i <= 6; i++ { + s := 1 << i + + for j := 0; j < 128; j += 2 * s { + for k := j; k < j+s; k++ { + vecMul(&tmp, &out[k+s], &internal.ButterfliesConst[constsPtr+(k-j)]) + + for b := 0; b < gfBits; b++ { + out[k][b] ^= tmp[b] + } + for b := 0; b < gfBits; b++ { + out[k+s][b] ^= out[k][b] + } + } + } + + constsPtr += 1 << i + } + + // adding the part contributed by x^128 + for i := 0; i < 128; i++ { + for b := 0; b < gfBits; b++ { + out[i][b] ^= internal.Powers8192[i][b] + } + } +} diff --git a/kem/mceliece/mceliece6688128f/pk_gen.go b/kem/mceliece/mceliece6688128f/pk_gen.go index 7339e6fa8..e66f58175 100644 --- a/kem/mceliece/mceliece6688128f/pk_gen.go +++ b/kem/mceliece/mceliece6688128f/pk_gen.go @@ -1,12 +1,79 @@ -// Code generated from pk_gen.templ.go. DO NOT EDIT. +// Code generated from pk_gen_vec.templ.go. DO NOT EDIT. + +// The following code is translated from the C `vec` Additional Implementation +// from the NIST round 3 submission package. package mceliece6688128f import ( "github.com/cloudflare/circl/kem/mceliece/internal" - "github.com/cloudflare/circl/math/gf8192" ) +const exponent = 128 + +func storeI(out []byte, in uint64, i int) { + for j := 0; j < i; j++ { + out[j] = byte((in >> (j * 8)) & 0xFF) + } +} + +func deBitSlicing(out *[1 << gfBits]uint64, in *[exponent][gfBits]uint64) { + for i := 0; i < (1 << gfBits); i++ { + out[i] = 0 + } + + for i := 0; i < exponent; i++ { + for j := gfBits - 1; j >= 0; j-- { + for r := 0; r < 64; r++ { + out[i*64+r] <<= 1 + out[i*64+r] |= (in[i][j] >> r) & 1 + } + } + } +} + +func toBitslicing2x(out0 *[exponent][gfBits]uint64, out1 *[exponent][gfBits]uint64, in *[1 << gfBits]uint64) { + for i := 0; i < exponent; i++ { + for j := gfBits - 1; j >= 0; j-- { + for r := 63; r >= 0; r-- { + out1[i][j] <<= 1 + out1[i][j] |= (in[i*64+r] >> (j + gfBits)) & 1 + } + } + + for j := gfBits - 1; j >= 0; j-- { + for r := 63; r >= 0; r-- { + out0[i][gfBits-1-j] <<= 1 + out0[i][gfBits-1-j] |= (in[i*64+r] >> j) & 1 + } + } + } +} + +func irrLoad(out *[2][gfBits]uint64, in []byte) { + var ( + v0 uint64 + v1 uint64 + ) + irr := [sysT]uint16{} + + for i := 0; i < sysT; i++ { + irr[i] = loadGf(in[i*2:]) + } + + for i := 0; i < gfBits; i++ { + for j := 63; j >= 0; j-- { + v0 <<= 1 + v1 <<= 1 + v0 |= uint64(irr[j]>>i) & 1 + v1 |= uint64(irr[j+64]>>i) & 1 + } + + out[0][i] = v0 + out[1][i] = v1 + } +} + // Return number of trailing zeros of the non-zero input `input` func ctz(in uint64) int { m := 0 @@ -29,16 +96,16 @@ func sameMask64(x, y uint16) uint64 { } // Move columns in matrix `mat` -func movColumns(mat *[pkNRows][sysN / 8]byte, pi []int16, pivots *uint64) bool { +func movColumns(mat *[pkNRows][(sysN + 63) / 64]uint64, pi []int16, pivots *uint64) bool { buf := [64]uint64{} ctzList := [32]uint64{} row := pkNRows - 32 - blockIdx := row / 8 + blockIdx := row / 64 // extract the 32x64 matrix for i := 0; i < 32; i++ { - buf[i] = load8(mat[row+i][blockIdx:]) + buf[i] = (mat[row+i][blockIdx+0] >> 32) | (mat[row+i][blockIdx+1] << 32) } // compute the column indices of pivots by Gaussian elimination. @@ -83,7 +150,7 @@ func movColumns(mat *[pkNRows][sysN / 8]byte, pi []int16, pivots *uint64) bool { // moving columns of mat according to the column indices of pivots for i := 0; i < pkNRows; i++ { - t := load8(mat[i][blockIdx:]) + t := (mat[i][blockIdx+0] >> 32) | (mat[i][blockIdx+1] << 32) for j := 0; j < 32; j++ { d := t >> j @@ -94,14 +161,14 @@ func movColumns(mat *[pkNRows][sysN / 8]byte, pi []int16, pivots *uint64) bool { t ^= d << j } - store8(mat[i][blockIdx:], t) + mat[i][blockIdx+0] = (mat[i][blockIdx+0] << 32 >> 32) | (t << 32) + mat[i][blockIdx+1] = (mat[i][blockIdx+1] >> 32 << 32) | (t >> 32) } return true } -// TODO: Optimize the Gaussian Elimination loop, possibly by porting the `vec` Reference Implementation? // nolint:unparam // Public key generation. Generate the public key `pk`, // permutation `pi` and pivot element `pivots` based on the @@ -109,123 +176,133 @@ func movColumns(mat *[pkNRows][sysN / 8]byte, pi []int16, pivots *uint64) bool { // `pk` has `max(1 << GFBITS, SYS_N)` elements which is // 4096 for mceliece348864 and 8192 for mceliece8192128. // `sk` has `2 * SYS_T` elements and perm `1 << GFBITS`. -func pkGen(pk *[pkNRows * pkRowBytes]byte, sk []byte, perm *[1 << gfBits]uint32, pi *[1 << gfBits]int16, pivots *uint64) bool { - buf := [1 << gfBits]uint64{} - mat := [pkNRows][sysN / 8]byte{} - g := [sysT + 1]gf{} - L := [sysN]gf{} - inv := [sysN]gf{} - - g[sysT] = 1 - for i := 0; i < sysT; i++ { - g[i] = loadGf(sk) - sk = sk[2:] +func pkGen(pk *[pkNRows * pkRowBytes]byte, irr []byte, perm *[1 << gfBits]uint32, pi *[1 << gfBits]int16, pivots *uint64) bool { + const ( + nblocksH = (sysN + 63) / 64 + nblocksI = (pkNRows + 63) / 64 + + blockIdx = nblocksI + ) + mat := [pkNRows][nblocksH]uint64{} + var mask uint64 + + irrInt := [2][gfBits]uint64{} + + consts := [exponent][gfBits]uint64{} + eval := [exponent][gfBits]uint64{} + prod := [exponent][gfBits]uint64{} + tmp := [gfBits]uint64{} + list := [1 << gfBits]uint64{} + + // compute the inverses + irrLoad(&irrInt, irr) + fft(&eval, &irrInt) + vecCopy(&prod[0], &eval[0]) + for i := 1; i < exponent; i++ { + vecMul(&prod[i], &prod[i-1], &eval[i]) } - - for i := 0; i < 1<= 0; i-- { + vecMul(&prod[i+1], &prod[i], &tmp) + vecMul(&tmp, &tmp, &eval[i+1]) } - - internal.UInt64Sort(buf[:], 1<> 31) == (buf[i] >> 31) { + if (list[i-1] >> 31) == (list[i] >> 31) { return false } } + toBitslicing2x(&consts, &prod, &list) for i := 0; i < (1 << gfBits); i++ { - pi[i] = int16(buf[i] & gfMask) - } - - for i := 0; i < sysN; i++ { - L[i] = bitRev(gf(pi[i])) + pi[i] = int16(list[i] & gfMask) } - // filling the matrix - root(&inv, &g, &L) - - for i := 0; i < sysN; i++ { - inv[i] = gf8192.Inv(inv[i]) + for j := 0; j < nblocksH; j++ { + for k := 0; k < gfBits; k++ { + mat[k][j] = prod[j][k] + } } - for i := 0; i < sysT; i++ { - for j := 0; j < sysN; j += 8 { + for i := 1; i < sysT; i++ { + for j := 0; j < nblocksH; j++ { + vecMul(&prod[j], &prod[j], &consts[j]) for k := 0; k < gfBits; k++ { - b := byte(inv[j+7]>>k) & 1 - b <<= 1 - b |= byte(inv[j+6]>>k) & 1 - b <<= 1 - b |= byte(inv[j+5]>>k) & 1 - b <<= 1 - b |= byte(inv[j+4]>>k) & 1 - b <<= 1 - b |= byte(inv[j+3]>>k) & 1 - b <<= 1 - b |= byte(inv[j+2]>>k) & 1 - b <<= 1 - b |= byte(inv[j+1]>>k) & 1 - b <<= 1 - b |= byte(inv[j+0]>>k) & 1 - - mat[i*gfBits+k][j/8] = b + mat[i*gfBits+k][j] = prod[j][k] } } - - for j := 0; j < sysN; j++ { - inv[j] = gf8192.Mul(inv[j], L[j]) - } } // gaussian elimination - for i := 0; i < (pkNRows+7)/8; i++ { - for j := 0; j < 8; j++ { - row := i*8 + j - if row >= pkNRows { - break - } + for row := 0; row < pkNRows; row++ { + i := row >> 6 + j := row & 63 - if row == pkNRows-32 { - if !movColumns(&mat, pi[:], pivots) { - return false - } + if row == pkNRows-32 { + if !movColumns(&mat, pi[:], pivots) { + return false } + } - for k := row + 1; k < pkNRows; k++ { - mask := mat[row][i] ^ mat[k][i] - mask >>= j - mask &= 1 - mask = -mask + for k := row + 1; k < pkNRows; k++ { + mask = mat[row][i] >> j + mask &= 1 + mask -= 1 - for c := 0; c < sysN/8; c++ { - mat[row][c] ^= mat[k][c] & mask - } + for c := 0; c < nblocksH; c++ { + mat[row][c] ^= mat[k][c] & mask } - // return if not systematic - if ((mat[row][i] >> j) & 1) == 0 { - return false + } + // return if not systematic + if ((mat[row][i] >> j) & 1) == 0 { + return false + } + + for k := 0; k < row; k++ { + mask = mat[k][i] >> j + mask &= 1 + mask = -mask + + for c := 0; c < nblocksH; c++ { + mat[k][c] ^= mat[row][c] & mask } + } - for k := 0; k < pkNRows; k++ { - if k != row { - mask := mat[k][i] >> j - mask &= 1 - mask = -mask + for k := row + 1; k < pkNRows; k++ { + mask = mat[k][i] >> j + mask &= 1 + mask = -mask - for c := 0; c < sysN/8; c++ { - mat[k][c] ^= mat[row][c] & mask - } - } + for c := 0; c < nblocksH; c++ { + mat[k][c] ^= mat[row][c] & mask } } } + pkp := pk[:] + for i := 0; i < pkNRows; i++ { - copy(pk[i*pkRowBytes:], mat[i][pkNRows/8:pkNRows/8+pkRowBytes]) + + var j int + for j = nblocksI; j < nblocksH-1; j++ { + store8(pkp, mat[i][j]) + pkp = pkp[8:] + } + storeI(pkp, mat[i][j], pkRowBytes%8) + pkp = pkp[pkRowBytes%8:] + } return true diff --git a/kem/mceliece/mceliece6688128f/vec.go b/kem/mceliece/mceliece6688128f/vec.go new file mode 100644 index 000000000..1c591d0bf --- /dev/null +++ b/kem/mceliece/mceliece6688128f/vec.go @@ -0,0 +1,132 @@ +// Code generated from vec.templ.go. DO NOT EDIT. + +// The following code is translated from the C `vec` Additional Implementation +// from the NIST round 3 submission package. + +package mceliece6688128f + +func vecMul(h, f, g *[gfBits]uint64) { + buf := [2*gfBits - 1]uint64{} + + for i := 0; i < 2*gfBits-1; i++ { + buf[i] = 0 + } + + for i := 0; i < gfBits; i++ { + for j := 0; j < gfBits; j++ { + buf[i+j] ^= f[i] & g[j] + } + } + + for i := 2*gfBits - 2; i >= gfBits; i-- { + + buf[i-gfBits+4] ^= buf[i] + buf[i-gfBits+3] ^= buf[i] + buf[i-gfBits+1] ^= buf[i] + buf[i-gfBits+0] ^= buf[i] + + } + + for i := 0; i < gfBits; i++ { + h[i] = buf[i] + } +} + +// bitsliced field squarings +func vecSq(out, in *[gfBits]uint64) { + result := [gfBits]uint64{} + + t := in[11] ^ in[12] + + result[0] = in[0] ^ in[11] + result[1] = in[7] ^ t + result[2] = in[1] ^ in[7] + result[3] = in[8] ^ t + result[4] = in[2] ^ in[7] + result[4] = result[4] ^ in[8] + result[4] = result[4] ^ t + result[5] = in[7] ^ in[9] + result[6] = in[3] ^ in[8] + result[6] = result[6] ^ in[9] + result[6] = result[6] ^ in[12] + result[7] = in[8] ^ in[10] + result[8] = in[4] ^ in[9] + result[8] = result[8] ^ in[10] + result[9] = in[9] ^ in[11] + result[10] = in[5] ^ in[10] + result[10] = result[10] ^ in[11] + result[11] = in[10] ^ in[12] + result[12] = in[6] ^ t + + for i := 0; i < gfBits; i++ { + out[i] = result[i] + } +} + +// bitsliced field inverses +func vecInv(out, in *[gfBits]uint64) { + tmp11 := [gfBits]uint64{} + tmp1111 := [gfBits]uint64{} + + vecCopy(out, in) + + vecSq(out, out) + vecMul(&tmp11, out, in) // ^11 + + vecSq(out, &tmp11) + vecSq(out, out) + vecMul(&tmp1111, out, &tmp11) // ^1111 + + vecSq(out, &tmp1111) + vecSq(out, out) + vecSq(out, out) + vecSq(out, out) + vecMul(out, out, &tmp1111) // ^11111111 + + vecSq(out, out) + vecSq(out, out) + vecSq(out, out) + vecSq(out, out) + vecMul(out, out, &tmp1111) // ^111111111111 + + vecSq(out, out) // ^1111111111110 +} + +func vecSetBits(b uint64) uint64 { + ret := -b + return ret +} + +func vecSet116b(v uint16) uint64 { + ret := uint64(v) + ret |= ret << 16 + ret |= ret << 32 + + return ret +} + +func vecCopy(out, in *[gfBits]uint64) { + for i := 0; i < gfBits; i++ { + out[i] = in[i] + } +} + +func vecOrReduce(a *[gfBits]uint64) uint64 { + ret := a[0] + for i := 1; i < gfBits; i++ { + ret |= a[i] + } + + return ret +} + +func vecTestZ(a uint64) int { + a |= a >> 32 + a |= a >> 16 + a |= a >> 8 + a |= a >> 4 + a |= a >> 2 + a |= a >> 1 + + return int((a & 1) ^ 1) +} diff --git a/kem/mceliece/mceliece6960119/pk_gen.go b/kem/mceliece/mceliece6960119/pk_gen.go index 00b8bb4f7..23dd914f4 100644 --- a/kem/mceliece/mceliece6960119/pk_gen.go +++ b/kem/mceliece/mceliece6960119/pk_gen.go @@ -94,7 +94,6 @@ func pkGen(pk *[pkNRows * pkRowBytes]byte, irr []byte, perm *[1 << gfBits]uint32 tail = pkNRows % 64 ) mat := [pkNRows][nblocksH]uint64{} - ops := [pkNRows][nblocksI]uint64{} var mask uint64 irrInt := [2][gfBits]uint64{} @@ -105,6 +104,8 @@ func pkGen(pk *[pkNRows * pkRowBytes]byte, irr []byte, perm *[1 << gfBits]uint32 tmp := [gfBits]uint64{} list := [1 << gfBits]uint64{} + ops := [pkNRows][nblocksI]uint64{} + oneRow := [exponent]uint64{} // compute the inverses @@ -187,6 +188,7 @@ func pkGen(pk *[pkNRows * pkRowBytes]byte, irr []byte, perm *[1 << gfBits]uint32 mat[row][c] ^= mat[k][c] & mask ops[row][c] ^= ops[k][c] & mask } + } // return if not systematic if ((mat[row][i] >> j) & 1) == 0 { @@ -200,11 +202,15 @@ func pkGen(pk *[pkNRows * pkRowBytes]byte, irr []byte, perm *[1 << gfBits]uint32 for c := 0; c < nblocksI; c++ { mat[k][c] ^= mat[row][c] & mask + ops[k][c] ^= ops[row][c] & mask + } } } + pkp := pk[:] + // computing the lineaer map required to obatin the systematic form for row := pkNRows - 1; row >= 0; row-- { @@ -235,8 +241,6 @@ func pkGen(pk *[pkNRows * pkRowBytes]byte, irr []byte, perm *[1 << gfBits]uint32 } } - pkp := pk[:] - for i := 0; i < pkNRows; i++ { mat[i][blockIdx] = column[i] } diff --git a/kem/mceliece/mceliece6960119f/fft.go b/kem/mceliece/mceliece6960119f/fft.go new file mode 100644 index 000000000..d4b8b9594 --- /dev/null +++ b/kem/mceliece/mceliece6960119f/fft.go @@ -0,0 +1,208 @@ +// Code generated from fft_other.templ.go. DO NOT EDIT. + +// The following code is translated from the C `vec` Additional Implementation +// from the NIST round 3 submission package. + +package mceliece6960119f + +import "github.com/cloudflare/circl/kem/mceliece/internal" + +func fft(out *[exponent][gfBits]uint64, in *[2][gfBits]uint64) { + radixConversions(in) + butterflies(out, in) +} + +func radixConversions(in *[2][gfBits]uint64) { + for j := 0; j <= 5; j++ { + for i := 0; i < gfBits; i++ { + in[1][i] ^= in[1][i] >> 32 + in[0][i] ^= in[1][i] << 32 + } + + for i := 0; i < gfBits; i++ { + for k := 4; k >= j; k-- { + in[0][i] ^= (in[0][i] & internal.RadixConversionsMask[k][0]) >> (1 << k) + in[0][i] ^= (in[0][i] & internal.RadixConversionsMask[k][1]) >> (1 << k) + in[1][i] ^= (in[1][i] & internal.RadixConversionsMask[k][0]) >> (1 << k) + in[1][i] ^= (in[1][i] & internal.RadixConversionsMask[k][1]) >> (1 << k) + } + } + + if j < 5 { + vecMul(&in[0], &in[0], &internal.RadixConversionsS[j][0]) + vecMul(&in[1], &in[1], &internal.RadixConversionsS[j][1]) + } + } +} + +func butterflies(out *[exponent][gfBits]uint64, in *[2][gfBits]uint64) { + tmp := [gfBits]uint64{} + pre := [8][gfBits]uint64{} + buf := [128]uint64{} + constsPtr := 2 + for i := 0; i < 7; i++ { + for j := 0; j < gfBits; j++ { + pre[i][j] = uint64(internal.ButterfliesBeta[i]>>j) & 1 + pre[i][j] = -pre[i][j] + } + + vecMul(&pre[i], &in[1], &pre[i]) + } + for i := 0; i < gfBits; i++ { + buf[0] = in[0][i] + + buf[1] = buf[0] ^ pre[0][i] + buf[32] = in[0][i] ^ pre[5][i] + buf[3] = buf[1] ^ pre[1][i] + buf[96] = buf[32] ^ pre[6][i] + buf[97] = buf[96] ^ pre[0][i] + buf[2] = in[0][i] ^ pre[1][i] + buf[99] = buf[97] ^ pre[1][i] + buf[6] = buf[2] ^ pre[2][i] + buf[98] = buf[99] ^ pre[0][i] + buf[7] = buf[6] ^ pre[0][i] + buf[102] = buf[98] ^ pre[2][i] + buf[5] = buf[7] ^ pre[1][i] + buf[103] = buf[102] ^ pre[0][i] + buf[101] = buf[103] ^ pre[1][i] + buf[4] = in[0][i] ^ pre[2][i] + buf[100] = buf[101] ^ pre[0][i] + buf[12] = buf[4] ^ pre[3][i] + buf[108] = buf[100] ^ pre[3][i] + buf[13] = buf[12] ^ pre[0][i] + buf[109] = buf[108] ^ pre[0][i] + buf[15] = buf[13] ^ pre[1][i] + buf[111] = buf[109] ^ pre[1][i] + buf[14] = buf[15] ^ pre[0][i] + buf[110] = buf[111] ^ pre[0][i] + buf[10] = buf[14] ^ pre[2][i] + buf[106] = buf[110] ^ pre[2][i] + buf[11] = buf[10] ^ pre[0][i] + buf[107] = buf[106] ^ pre[0][i] + buf[9] = buf[11] ^ pre[1][i] + buf[105] = buf[107] ^ pre[1][i] + buf[104] = buf[105] ^ pre[0][i] + buf[8] = in[0][i] ^ pre[3][i] + buf[120] = buf[104] ^ pre[4][i] + buf[24] = buf[8] ^ pre[4][i] + buf[121] = buf[120] ^ pre[0][i] + buf[25] = buf[24] ^ pre[0][i] + buf[123] = buf[121] ^ pre[1][i] + buf[27] = buf[25] ^ pre[1][i] + buf[122] = buf[123] ^ pre[0][i] + buf[26] = buf[27] ^ pre[0][i] + buf[126] = buf[122] ^ pre[2][i] + buf[30] = buf[26] ^ pre[2][i] + buf[127] = buf[126] ^ pre[0][i] + buf[31] = buf[30] ^ pre[0][i] + buf[125] = buf[127] ^ pre[1][i] + buf[29] = buf[31] ^ pre[1][i] + buf[124] = buf[125] ^ pre[0][i] + buf[28] = buf[29] ^ pre[0][i] + buf[116] = buf[124] ^ pre[3][i] + buf[20] = buf[28] ^ pre[3][i] + buf[117] = buf[116] ^ pre[0][i] + buf[21] = buf[20] ^ pre[0][i] + buf[119] = buf[117] ^ pre[1][i] + buf[23] = buf[21] ^ pre[1][i] + buf[118] = buf[119] ^ pre[0][i] + buf[22] = buf[23] ^ pre[0][i] + buf[114] = buf[118] ^ pre[2][i] + buf[18] = buf[22] ^ pre[2][i] + buf[115] = buf[114] ^ pre[0][i] + buf[19] = buf[18] ^ pre[0][i] + buf[113] = buf[115] ^ pre[1][i] + buf[17] = buf[19] ^ pre[1][i] + buf[112] = buf[113] ^ pre[0][i] + buf[80] = buf[112] ^ pre[5][i] + buf[16] = in[0][i] ^ pre[4][i] + buf[81] = buf[80] ^ pre[0][i] + buf[48] = buf[16] ^ pre[5][i] + buf[83] = buf[81] ^ pre[1][i] + buf[49] = buf[48] ^ pre[0][i] + buf[82] = buf[83] ^ pre[0][i] + buf[51] = buf[49] ^ pre[1][i] + buf[86] = buf[82] ^ pre[2][i] + buf[50] = buf[51] ^ pre[0][i] + buf[87] = buf[86] ^ pre[0][i] + buf[54] = buf[50] ^ pre[2][i] + buf[85] = buf[87] ^ pre[1][i] + buf[55] = buf[54] ^ pre[0][i] + buf[84] = buf[85] ^ pre[0][i] + buf[53] = buf[55] ^ pre[1][i] + buf[92] = buf[84] ^ pre[3][i] + buf[52] = buf[53] ^ pre[0][i] + buf[93] = buf[92] ^ pre[0][i] + buf[60] = buf[52] ^ pre[3][i] + buf[95] = buf[93] ^ pre[1][i] + buf[61] = buf[60] ^ pre[0][i] + buf[94] = buf[95] ^ pre[0][i] + buf[63] = buf[61] ^ pre[1][i] + buf[90] = buf[94] ^ pre[2][i] + buf[62] = buf[63] ^ pre[0][i] + buf[91] = buf[90] ^ pre[0][i] + buf[58] = buf[62] ^ pre[2][i] + buf[89] = buf[91] ^ pre[1][i] + buf[59] = buf[58] ^ pre[0][i] + buf[88] = buf[89] ^ pre[0][i] + buf[57] = buf[59] ^ pre[1][i] + buf[72] = buf[88] ^ pre[4][i] + buf[56] = buf[57] ^ pre[0][i] + buf[73] = buf[72] ^ pre[0][i] + buf[40] = buf[56] ^ pre[4][i] + buf[75] = buf[73] ^ pre[1][i] + buf[41] = buf[40] ^ pre[0][i] + buf[74] = buf[75] ^ pre[0][i] + buf[43] = buf[41] ^ pre[1][i] + buf[78] = buf[74] ^ pre[2][i] + buf[42] = buf[43] ^ pre[0][i] + buf[79] = buf[78] ^ pre[0][i] + buf[46] = buf[42] ^ pre[2][i] + buf[77] = buf[79] ^ pre[1][i] + buf[47] = buf[46] ^ pre[0][i] + buf[76] = buf[77] ^ pre[0][i] + buf[45] = buf[47] ^ pre[1][i] + buf[68] = buf[76] ^ pre[3][i] + buf[44] = buf[45] ^ pre[0][i] + buf[69] = buf[68] ^ pre[0][i] + buf[36] = buf[44] ^ pre[3][i] + buf[71] = buf[69] ^ pre[1][i] + buf[37] = buf[36] ^ pre[0][i] + buf[70] = buf[71] ^ pre[0][i] + buf[39] = buf[37] ^ pre[1][i] + buf[66] = buf[70] ^ pre[2][i] + buf[38] = buf[39] ^ pre[0][i] + buf[67] = buf[66] ^ pre[0][i] + buf[34] = buf[38] ^ pre[2][i] + buf[65] = buf[67] ^ pre[1][i] + buf[35] = buf[34] ^ pre[0][i] + buf[33] = buf[35] ^ pre[1][i] + buf[64] = in[0][i] ^ pre[6][i] + + transpose64x64((*[64]uint64)(buf[:64]), (*[64]uint64)(buf[:64])) + transpose64x64((*[64]uint64)(buf[64:]), (*[64]uint64)(buf[64:])) + + for j := 0; j < 128; j++ { + out[internal.ButterfliesReversal[j]][i] = buf[j] + } + } + + for i := 1; i <= 6; i++ { + s := 1 << i + + for j := 0; j < 128; j += 2 * s { + for k := j; k < j+s; k++ { + vecMul(&tmp, &out[k+s], &internal.ButterfliesConst[constsPtr+(k-j)]) + + for b := 0; b < gfBits; b++ { + out[k][b] ^= tmp[b] + } + for b := 0; b < gfBits; b++ { + out[k+s][b] ^= out[k][b] + } + } + } + + constsPtr += 1 << i + } +} diff --git a/kem/mceliece/mceliece6960119f/pk_gen.go b/kem/mceliece/mceliece6960119f/pk_gen.go index 0936ac10d..48a07e3d6 100644 --- a/kem/mceliece/mceliece6960119f/pk_gen.go +++ b/kem/mceliece/mceliece6960119f/pk_gen.go @@ -1,12 +1,83 @@ -// Code generated from pk_gen.templ.go. DO NOT EDIT. +// Code generated from pk_gen_vec.templ.go. DO NOT EDIT. + +// The following code is translated from the C `vec` Additional Implementation +// from the NIST round 3 submission package. package mceliece6960119f import ( "github.com/cloudflare/circl/kem/mceliece/internal" - "github.com/cloudflare/circl/math/gf8192" ) +const exponent = 128 + +func storeI(out []byte, in uint64, i int) { + for j := 0; j < i; j++ { + out[j] = byte((in >> (j * 8)) & 0xFF) + } +} + +func deBitSlicing(out *[1 << gfBits]uint64, in *[exponent][gfBits]uint64) { + for i := 0; i < (1 << gfBits); i++ { + out[i] = 0 + } + + for i := 0; i < exponent; i++ { + for j := gfBits - 1; j >= 0; j-- { + for r := 0; r < 64; r++ { + out[i*64+r] <<= 1 + out[i*64+r] |= (in[i][j] >> r) & 1 + } + } + } +} + +func toBitslicing2x(out0 *[exponent][gfBits]uint64, out1 *[exponent][gfBits]uint64, in *[1 << gfBits]uint64) { + for i := 0; i < exponent; i++ { + for j := gfBits - 1; j >= 0; j-- { + for r := 63; r >= 0; r-- { + out1[i][j] <<= 1 + out1[i][j] |= (in[i*64+r] >> (j + gfBits)) & 1 + } + } + + for j := gfBits - 1; j >= 0; j-- { + for r := 63; r >= 0; r-- { + out0[i][gfBits-1-j] <<= 1 + out0[i][gfBits-1-j] |= (in[i*64+r] >> j) & 1 + } + } + } +} + +func irrLoad(out *[2][gfBits]uint64, in []byte) { + irr := [sysT + 1]uint16{} + + for i := 0; i < sysT; i++ { + irr[i] = loadGf(in[i*2:]) + } + + irr[sysT] = 1 + + v := [2]uint64{} + for i := 0; i < gfBits; i++ { + v[0] = 0 + v[1] = 0 + + for j := 63; j >= 0; j-- { + v[0] <<= 1 + v[0] |= uint64(irr[j]>>i) & 1 + } + for j := sysT; j >= 64; j-- { + v[1] <<= 1 + v[1] |= uint64(irr[j]>>i) & 1 + } + + out[0][i] = v[0] + out[1][i] = v[1] + } +} + // Return number of trailing zeros of the non-zero input `input` func ctz(in uint64) int { m := 0 @@ -29,24 +100,17 @@ func sameMask64(x, y uint16) uint64 { } // Move columns in matrix `mat` -func movColumns(mat *[pkNRows][sysN / 8]byte, pi []int16, pivots *uint64) bool { +func movColumns(mat *[pkNRows][(sysN + 63) / 64]uint64, pi []int16, pivots *uint64) bool { buf := [64]uint64{} ctzList := [32]uint64{} row := pkNRows - 32 - blockIdx := row / 8 + blockIdx := row / 64 // extract the 32x64 matrix - tail := row % 8 - tmp := [9]byte{} + tail := row % 64 for i := 0; i < 32; i++ { - for j := 0; j < 9; j++ { - tmp[j] = mat[row+i][blockIdx+j] - } - for j := 0; j < 8; j++ { - tmp[j] = (tmp[j] >> tail) | (tmp[j+1] << (8 - tail)) - } - buf[i] = load8(tmp[:]) + buf[i] = (mat[row+i][blockIdx+0] >> tail) | (mat[row+i][blockIdx+1] << (64 - tail)) } // compute the column indices of pivots by Gaussian elimination. @@ -91,35 +155,25 @@ func movColumns(mat *[pkNRows][sysN / 8]byte, pi []int16, pivots *uint64) bool { // moving columns of mat according to the column indices of pivots for i := 0; i < pkNRows; i++ { - for k := 0; k < 9; k++ { - tmp[k] = mat[i][blockIdx+k] - } - for k := 0; k < 8; k++ { - tmp[k] = (tmp[k] >> tail) | (tmp[k+1] << (8 - tail)) - } - t := load8(tmp[:]) + t := (mat[i][blockIdx+0] >> tail) | (mat[i][blockIdx+1] << (64 - tail)) + for j := 0; j < 32; j++ { d := t >> j d ^= t >> ctzList[j] d &= 1 + t ^= d << ctzList[j] t ^= d << j } - store8(tmp[:], t) - mat[i][blockIdx+8] = (mat[i][blockIdx+8] >> tail << tail) | (tmp[7] >> (8 - tail)) - mat[i][blockIdx+0] = (tmp[0] << tail) | (mat[i][blockIdx] << (8 - tail) >> (8 - tail)) - - for k := 7; k >= 1; k-- { - mat[i][blockIdx+k] = (tmp[k] << tail) | (tmp[k-1] >> (8 - tail)) - } + mat[i][blockIdx+0] = (mat[i][blockIdx+0] & ((0xffffffffffffffff) >> (64 - tail))) | (t << tail) + mat[i][blockIdx+1] = (mat[i][blockIdx+1] & ((0xffffffffffffffff) << tail)) | (t >> (64 - tail)) } return true } -// TODO: Optimize the Gaussian Elimination loop, possibly by porting the `vec` Reference Implementation? // nolint:unparam // Public key generation. Generate the public key `pk`, // permutation `pi` and pivot element `pivots` based on the @@ -127,130 +181,138 @@ func movColumns(mat *[pkNRows][sysN / 8]byte, pi []int16, pivots *uint64) bool { // `pk` has `max(1 << GFBITS, SYS_N)` elements which is // 4096 for mceliece348864 and 8192 for mceliece8192128. // `sk` has `2 * SYS_T` elements and perm `1 << GFBITS`. -func pkGen(pk *[pkNRows * pkRowBytes]byte, sk []byte, perm *[1 << gfBits]uint32, pi *[1 << gfBits]int16, pivots *uint64) bool { - buf := [1 << gfBits]uint64{} - mat := [pkNRows][sysN / 8]byte{} - g := [sysT + 1]gf{} - L := [sysN]gf{} - inv := [sysN]gf{} - - g[sysT] = 1 - for i := 0; i < sysT; i++ { - g[i] = loadGf(sk) - sk = sk[2:] +func pkGen(pk *[pkNRows * pkRowBytes]byte, irr []byte, perm *[1 << gfBits]uint32, pi *[1 << gfBits]int16, pivots *uint64) bool { + const ( + nblocksH = (sysN + 63) / 64 + nblocksI = (pkNRows + 63) / 64 + + blockIdx = nblocksI - 1 + tail = pkNRows % 64 + ) + mat := [pkNRows][nblocksH]uint64{} + var mask uint64 + + irrInt := [2][gfBits]uint64{} + + consts := [exponent][gfBits]uint64{} + eval := [exponent][gfBits]uint64{} + prod := [exponent][gfBits]uint64{} + tmp := [gfBits]uint64{} + list := [1 << gfBits]uint64{} + + // compute the inverses + irrLoad(&irrInt, irr) + fft(&eval, &irrInt) + vecCopy(&prod[0], &eval[0]) + for i := 1; i < exponent; i++ { + vecMul(&prod[i], &prod[i-1], &eval[i]) } - - for i := 0; i < 1<= 0; i-- { + vecMul(&prod[i+1], &prod[i], &tmp) + vecMul(&tmp, &tmp, &eval[i+1]) } - - internal.UInt64Sort(buf[:], 1<> 31) == (buf[i] >> 31) { + if (list[i-1] >> 31) == (list[i] >> 31) { return false } } + toBitslicing2x(&consts, &prod, &list) for i := 0; i < (1 << gfBits); i++ { - pi[i] = int16(buf[i] & gfMask) - } - - for i := 0; i < sysN; i++ { - L[i] = bitRev(gf(pi[i])) + pi[i] = int16(list[i] & gfMask) } - // filling the matrix - root(&inv, &g, &L) - - for i := 0; i < sysN; i++ { - inv[i] = gf8192.Inv(inv[i]) + for j := 0; j < nblocksH; j++ { + for k := 0; k < gfBits; k++ { + mat[k][j] = prod[j][k] + } } - for i := 0; i < sysT; i++ { - for j := 0; j < sysN; j += 8 { + for i := 1; i < sysT; i++ { + for j := 0; j < nblocksH; j++ { + vecMul(&prod[j], &prod[j], &consts[j]) for k := 0; k < gfBits; k++ { - b := byte(inv[j+7]>>k) & 1 - b <<= 1 - b |= byte(inv[j+6]>>k) & 1 - b <<= 1 - b |= byte(inv[j+5]>>k) & 1 - b <<= 1 - b |= byte(inv[j+4]>>k) & 1 - b <<= 1 - b |= byte(inv[j+3]>>k) & 1 - b <<= 1 - b |= byte(inv[j+2]>>k) & 1 - b <<= 1 - b |= byte(inv[j+1]>>k) & 1 - b <<= 1 - b |= byte(inv[j+0]>>k) & 1 - - mat[i*gfBits+k][j/8] = b + mat[i*gfBits+k][j] = prod[j][k] } } - - for j := 0; j < sysN; j++ { - inv[j] = gf8192.Mul(inv[j], L[j]) - } } // gaussian elimination - for i := 0; i < (pkNRows+7)/8; i++ { - for j := 0; j < 8; j++ { - row := i*8 + j - if row >= pkNRows { - break - } + for row := 0; row < pkNRows; row++ { + i := row >> 6 + j := row & 63 - if row == pkNRows-32 { - if !movColumns(&mat, pi[:], pivots) { - return false - } + if row == pkNRows-32 { + if !movColumns(&mat, pi[:], pivots) { + return false } + } - for k := row + 1; k < pkNRows; k++ { - mask := mat[row][i] ^ mat[k][i] - mask >>= j - mask &= 1 - mask = -mask + for k := row + 1; k < pkNRows; k++ { + mask = mat[row][i] >> j + mask &= 1 + mask -= 1 - for c := 0; c < sysN/8; c++ { - mat[row][c] ^= mat[k][c] & mask - } + for c := 0; c < nblocksH; c++ { + mat[row][c] ^= mat[k][c] & mask } - // return if not systematic - if ((mat[row][i] >> j) & 1) == 0 { - return false + } + // return if not systematic + if ((mat[row][i] >> j) & 1) == 0 { + return false + } + + for k := 0; k < row; k++ { + mask = mat[k][i] >> j + mask &= 1 + mask = -mask + + for c := 0; c < nblocksH; c++ { + mat[k][c] ^= mat[row][c] & mask } + } - for k := 0; k < pkNRows; k++ { - if k != row { - mask := mat[k][i] >> j - mask &= 1 - mask = -mask + for k := row + 1; k < pkNRows; k++ { + mask = mat[k][i] >> j + mask &= 1 + mask = -mask - for c := 0; c < sysN/8; c++ { - mat[k][c] ^= mat[row][c] & mask - } - } + for c := 0; c < nblocksH; c++ { + mat[k][c] ^= mat[row][c] & mask } } } - tail := pkNRows % 8 - const innerPkAccesses = ((sysN/8 - 1) - (pkNRows-1)/8) + 1 + pkp := pk[:] + for i := 0; i < pkNRows; i++ { - idx := 0 - for j := (pkNRows - 1) / 8; j < sysN/8-1; j++ { - pk[i*innerPkAccesses+idx] = (mat[i][j] >> tail) | (mat[i][j+1] << (8 - tail)) - idx++ + + row := i + var k int + for k = blockIdx; k < nblocksH-1; k++ { + mat[row][k] = (mat[row][k] >> tail) | (mat[row][k+1] << (64 - tail)) + store8(pkp, mat[row][k]) + pkp = pkp[8:] } - pk[(i+1)*innerPkAccesses-1] = mat[i][sysN/8-1] >> tail + mat[row][k] >>= tail + storeI(pkp, mat[row][k], pkRowBytes%8) + pkp[(pkRowBytes%8)-1] &= (1 << (pkNCols % 8)) - 1 // removing redundant bits + pkp = pkp[pkRowBytes%8:] + } return true diff --git a/kem/mceliece/mceliece6960119f/vec.go b/kem/mceliece/mceliece6960119f/vec.go new file mode 100644 index 000000000..6a510cac7 --- /dev/null +++ b/kem/mceliece/mceliece6960119f/vec.go @@ -0,0 +1,132 @@ +// Code generated from vec.templ.go. DO NOT EDIT. + +// The following code is translated from the C `vec` Additional Implementation +// from the NIST round 3 submission package. + +package mceliece6960119f + +func vecMul(h, f, g *[gfBits]uint64) { + buf := [2*gfBits - 1]uint64{} + + for i := 0; i < 2*gfBits-1; i++ { + buf[i] = 0 + } + + for i := 0; i < gfBits; i++ { + for j := 0; j < gfBits; j++ { + buf[i+j] ^= f[i] & g[j] + } + } + + for i := 2*gfBits - 2; i >= gfBits; i-- { + + buf[i-gfBits+4] ^= buf[i] + buf[i-gfBits+3] ^= buf[i] + buf[i-gfBits+1] ^= buf[i] + buf[i-gfBits+0] ^= buf[i] + + } + + for i := 0; i < gfBits; i++ { + h[i] = buf[i] + } +} + +// bitsliced field squarings +func vecSq(out, in *[gfBits]uint64) { + result := [gfBits]uint64{} + + t := in[11] ^ in[12] + + result[0] = in[0] ^ in[11] + result[1] = in[7] ^ t + result[2] = in[1] ^ in[7] + result[3] = in[8] ^ t + result[4] = in[2] ^ in[7] + result[4] = result[4] ^ in[8] + result[4] = result[4] ^ t + result[5] = in[7] ^ in[9] + result[6] = in[3] ^ in[8] + result[6] = result[6] ^ in[9] + result[6] = result[6] ^ in[12] + result[7] = in[8] ^ in[10] + result[8] = in[4] ^ in[9] + result[8] = result[8] ^ in[10] + result[9] = in[9] ^ in[11] + result[10] = in[5] ^ in[10] + result[10] = result[10] ^ in[11] + result[11] = in[10] ^ in[12] + result[12] = in[6] ^ t + + for i := 0; i < gfBits; i++ { + out[i] = result[i] + } +} + +// bitsliced field inverses +func vecInv(out, in *[gfBits]uint64) { + tmp11 := [gfBits]uint64{} + tmp1111 := [gfBits]uint64{} + + vecCopy(out, in) + + vecSq(out, out) + vecMul(&tmp11, out, in) // ^11 + + vecSq(out, &tmp11) + vecSq(out, out) + vecMul(&tmp1111, out, &tmp11) // ^1111 + + vecSq(out, &tmp1111) + vecSq(out, out) + vecSq(out, out) + vecSq(out, out) + vecMul(out, out, &tmp1111) // ^11111111 + + vecSq(out, out) + vecSq(out, out) + vecSq(out, out) + vecSq(out, out) + vecMul(out, out, &tmp1111) // ^111111111111 + + vecSq(out, out) // ^1111111111110 +} + +func vecSetBits(b uint64) uint64 { + ret := -b + return ret +} + +func vecSet116b(v uint16) uint64 { + ret := uint64(v) + ret |= ret << 16 + ret |= ret << 32 + + return ret +} + +func vecCopy(out, in *[gfBits]uint64) { + for i := 0; i < gfBits; i++ { + out[i] = in[i] + } +} + +func vecOrReduce(a *[gfBits]uint64) uint64 { + ret := a[0] + for i := 1; i < gfBits; i++ { + ret |= a[i] + } + + return ret +} + +func vecTestZ(a uint64) int { + a |= a >> 32 + a |= a >> 16 + a |= a >> 8 + a |= a >> 4 + a |= a >> 2 + a |= a >> 1 + + return int((a & 1) ^ 1) +} diff --git a/kem/mceliece/mceliece8192128/pk_gen.go b/kem/mceliece/mceliece8192128/pk_gen.go index 229ac50fe..38caf2254 100644 --- a/kem/mceliece/mceliece8192128/pk_gen.go +++ b/kem/mceliece/mceliece8192128/pk_gen.go @@ -84,7 +84,6 @@ func pkGen(pk *[pkNRows * pkRowBytes]byte, irr []byte, perm *[1 << gfBits]uint32 tail = pkNRows % 64 ) mat := [pkNRows][nblocksH]uint64{} - ops := [pkNRows][nblocksI]uint64{} var mask uint64 irrInt := [2][gfBits]uint64{} @@ -95,6 +94,8 @@ func pkGen(pk *[pkNRows * pkRowBytes]byte, irr []byte, perm *[1 << gfBits]uint32 tmp := [gfBits]uint64{} list := [1 << gfBits]uint64{} + ops := [pkNRows][nblocksI]uint64{} + oneRow := [pkNCols / 64]uint64{} // compute the inverses @@ -178,6 +179,7 @@ func pkGen(pk *[pkNRows * pkRowBytes]byte, irr []byte, perm *[1 << gfBits]uint32 mat[row][c] ^= mat[k][c] & mask ops[row][c] ^= ops[k][c] & mask } + } // return if not systematic if ((mat[row][i] >> j) & 1) == 0 { @@ -191,12 +193,16 @@ func pkGen(pk *[pkNRows * pkRowBytes]byte, irr []byte, perm *[1 << gfBits]uint32 for c := 0; c < nblocksI; c++ { mat[k][c] ^= mat[row][c] & mask + ops[k][c] ^= ops[row][c] & mask + } } } } + pkp := pk[:] + // computing the lineaer map required to obatin the systematic form for i := pkNRows/64 - 1; i >= 0; i-- { @@ -230,8 +236,6 @@ func pkGen(pk *[pkNRows * pkRowBytes]byte, irr []byte, perm *[1 << gfBits]uint32 } } - pkp := pk[:] - for i := 0; i < pkNRows/64; i++ { for j := 0; j < 64; j++ { row := i*64 + j diff --git a/kem/mceliece/mceliece8192128f/fft.go b/kem/mceliece/mceliece8192128f/fft.go new file mode 100644 index 000000000..1632b97a6 --- /dev/null +++ b/kem/mceliece/mceliece8192128f/fft.go @@ -0,0 +1,215 @@ +// Code generated from fft_other.templ.go. DO NOT EDIT. + +// The following code is translated from the C `vec` Additional Implementation +// from the NIST round 3 submission package. + +package mceliece8192128f + +import "github.com/cloudflare/circl/kem/mceliece/internal" + +func fft(out *[exponent][gfBits]uint64, in *[2][gfBits]uint64) { + radixConversions(in) + butterflies(out, in) +} + +func radixConversions(in *[2][gfBits]uint64) { + for j := 0; j <= 5; j++ { + for i := 0; i < gfBits; i++ { + in[1][i] ^= in[1][i] >> 32 + in[0][i] ^= in[1][i] << 32 + } + + for i := 0; i < gfBits; i++ { + for k := 4; k >= j; k-- { + in[0][i] ^= (in[0][i] & internal.RadixConversionsMask[k][0]) >> (1 << k) + in[0][i] ^= (in[0][i] & internal.RadixConversionsMask[k][1]) >> (1 << k) + in[1][i] ^= (in[1][i] & internal.RadixConversionsMask[k][0]) >> (1 << k) + in[1][i] ^= (in[1][i] & internal.RadixConversionsMask[k][1]) >> (1 << k) + } + } + + if j < 5 { + vecMul(&in[0], &in[0], &internal.RadixConversionsS[j][0]) + vecMul(&in[1], &in[1], &internal.RadixConversionsS[j][1]) + } + } +} + +func butterflies(out *[exponent][gfBits]uint64, in *[2][gfBits]uint64) { + tmp := [gfBits]uint64{} + pre := [8][gfBits]uint64{} + buf := [128]uint64{} + constsPtr := 2 + for i := 0; i < 7; i++ { + for j := 0; j < gfBits; j++ { + pre[i][j] = uint64(internal.ButterfliesBeta[i]>>j) & 1 + pre[i][j] = -pre[i][j] + } + + vecMul(&pre[i], &in[1], &pre[i]) + } + for i := 0; i < gfBits; i++ { + buf[0] = in[0][i] + + buf[1] = buf[0] ^ pre[0][i] + buf[32] = in[0][i] ^ pre[5][i] + buf[3] = buf[1] ^ pre[1][i] + buf[96] = buf[32] ^ pre[6][i] + buf[97] = buf[96] ^ pre[0][i] + buf[2] = in[0][i] ^ pre[1][i] + buf[99] = buf[97] ^ pre[1][i] + buf[6] = buf[2] ^ pre[2][i] + buf[98] = buf[99] ^ pre[0][i] + buf[7] = buf[6] ^ pre[0][i] + buf[102] = buf[98] ^ pre[2][i] + buf[5] = buf[7] ^ pre[1][i] + buf[103] = buf[102] ^ pre[0][i] + buf[101] = buf[103] ^ pre[1][i] + buf[4] = in[0][i] ^ pre[2][i] + buf[100] = buf[101] ^ pre[0][i] + buf[12] = buf[4] ^ pre[3][i] + buf[108] = buf[100] ^ pre[3][i] + buf[13] = buf[12] ^ pre[0][i] + buf[109] = buf[108] ^ pre[0][i] + buf[15] = buf[13] ^ pre[1][i] + buf[111] = buf[109] ^ pre[1][i] + buf[14] = buf[15] ^ pre[0][i] + buf[110] = buf[111] ^ pre[0][i] + buf[10] = buf[14] ^ pre[2][i] + buf[106] = buf[110] ^ pre[2][i] + buf[11] = buf[10] ^ pre[0][i] + buf[107] = buf[106] ^ pre[0][i] + buf[9] = buf[11] ^ pre[1][i] + buf[105] = buf[107] ^ pre[1][i] + buf[104] = buf[105] ^ pre[0][i] + buf[8] = in[0][i] ^ pre[3][i] + buf[120] = buf[104] ^ pre[4][i] + buf[24] = buf[8] ^ pre[4][i] + buf[121] = buf[120] ^ pre[0][i] + buf[25] = buf[24] ^ pre[0][i] + buf[123] = buf[121] ^ pre[1][i] + buf[27] = buf[25] ^ pre[1][i] + buf[122] = buf[123] ^ pre[0][i] + buf[26] = buf[27] ^ pre[0][i] + buf[126] = buf[122] ^ pre[2][i] + buf[30] = buf[26] ^ pre[2][i] + buf[127] = buf[126] ^ pre[0][i] + buf[31] = buf[30] ^ pre[0][i] + buf[125] = buf[127] ^ pre[1][i] + buf[29] = buf[31] ^ pre[1][i] + buf[124] = buf[125] ^ pre[0][i] + buf[28] = buf[29] ^ pre[0][i] + buf[116] = buf[124] ^ pre[3][i] + buf[20] = buf[28] ^ pre[3][i] + buf[117] = buf[116] ^ pre[0][i] + buf[21] = buf[20] ^ pre[0][i] + buf[119] = buf[117] ^ pre[1][i] + buf[23] = buf[21] ^ pre[1][i] + buf[118] = buf[119] ^ pre[0][i] + buf[22] = buf[23] ^ pre[0][i] + buf[114] = buf[118] ^ pre[2][i] + buf[18] = buf[22] ^ pre[2][i] + buf[115] = buf[114] ^ pre[0][i] + buf[19] = buf[18] ^ pre[0][i] + buf[113] = buf[115] ^ pre[1][i] + buf[17] = buf[19] ^ pre[1][i] + buf[112] = buf[113] ^ pre[0][i] + buf[80] = buf[112] ^ pre[5][i] + buf[16] = in[0][i] ^ pre[4][i] + buf[81] = buf[80] ^ pre[0][i] + buf[48] = buf[16] ^ pre[5][i] + buf[83] = buf[81] ^ pre[1][i] + buf[49] = buf[48] ^ pre[0][i] + buf[82] = buf[83] ^ pre[0][i] + buf[51] = buf[49] ^ pre[1][i] + buf[86] = buf[82] ^ pre[2][i] + buf[50] = buf[51] ^ pre[0][i] + buf[87] = buf[86] ^ pre[0][i] + buf[54] = buf[50] ^ pre[2][i] + buf[85] = buf[87] ^ pre[1][i] + buf[55] = buf[54] ^ pre[0][i] + buf[84] = buf[85] ^ pre[0][i] + buf[53] = buf[55] ^ pre[1][i] + buf[92] = buf[84] ^ pre[3][i] + buf[52] = buf[53] ^ pre[0][i] + buf[93] = buf[92] ^ pre[0][i] + buf[60] = buf[52] ^ pre[3][i] + buf[95] = buf[93] ^ pre[1][i] + buf[61] = buf[60] ^ pre[0][i] + buf[94] = buf[95] ^ pre[0][i] + buf[63] = buf[61] ^ pre[1][i] + buf[90] = buf[94] ^ pre[2][i] + buf[62] = buf[63] ^ pre[0][i] + buf[91] = buf[90] ^ pre[0][i] + buf[58] = buf[62] ^ pre[2][i] + buf[89] = buf[91] ^ pre[1][i] + buf[59] = buf[58] ^ pre[0][i] + buf[88] = buf[89] ^ pre[0][i] + buf[57] = buf[59] ^ pre[1][i] + buf[72] = buf[88] ^ pre[4][i] + buf[56] = buf[57] ^ pre[0][i] + buf[73] = buf[72] ^ pre[0][i] + buf[40] = buf[56] ^ pre[4][i] + buf[75] = buf[73] ^ pre[1][i] + buf[41] = buf[40] ^ pre[0][i] + buf[74] = buf[75] ^ pre[0][i] + buf[43] = buf[41] ^ pre[1][i] + buf[78] = buf[74] ^ pre[2][i] + buf[42] = buf[43] ^ pre[0][i] + buf[79] = buf[78] ^ pre[0][i] + buf[46] = buf[42] ^ pre[2][i] + buf[77] = buf[79] ^ pre[1][i] + buf[47] = buf[46] ^ pre[0][i] + buf[76] = buf[77] ^ pre[0][i] + buf[45] = buf[47] ^ pre[1][i] + buf[68] = buf[76] ^ pre[3][i] + buf[44] = buf[45] ^ pre[0][i] + buf[69] = buf[68] ^ pre[0][i] + buf[36] = buf[44] ^ pre[3][i] + buf[71] = buf[69] ^ pre[1][i] + buf[37] = buf[36] ^ pre[0][i] + buf[70] = buf[71] ^ pre[0][i] + buf[39] = buf[37] ^ pre[1][i] + buf[66] = buf[70] ^ pre[2][i] + buf[38] = buf[39] ^ pre[0][i] + buf[67] = buf[66] ^ pre[0][i] + buf[34] = buf[38] ^ pre[2][i] + buf[65] = buf[67] ^ pre[1][i] + buf[35] = buf[34] ^ pre[0][i] + buf[33] = buf[35] ^ pre[1][i] + buf[64] = in[0][i] ^ pre[6][i] + + transpose64x64((*[64]uint64)(buf[:64]), (*[64]uint64)(buf[:64])) + transpose64x64((*[64]uint64)(buf[64:]), (*[64]uint64)(buf[64:])) + + for j := 0; j < 128; j++ { + out[internal.ButterfliesReversal[j]][i] = buf[j] + } + } + + for i := 1; i <= 6; i++ { + s := 1 << i + + for j := 0; j < 128; j += 2 * s { + for k := j; k < j+s; k++ { + vecMul(&tmp, &out[k+s], &internal.ButterfliesConst[constsPtr+(k-j)]) + + for b := 0; b < gfBits; b++ { + out[k][b] ^= tmp[b] + } + for b := 0; b < gfBits; b++ { + out[k+s][b] ^= out[k][b] + } + } + } + + constsPtr += 1 << i + } + + // adding the part contributed by x^128 + for i := 0; i < 128; i++ { + for b := 0; b < gfBits; b++ { + out[i][b] ^= internal.Powers8192[i][b] + } + } +} diff --git a/kem/mceliece/mceliece8192128f/pk_gen.go b/kem/mceliece/mceliece8192128f/pk_gen.go index ed32db548..fc13bd209 100644 --- a/kem/mceliece/mceliece8192128f/pk_gen.go +++ b/kem/mceliece/mceliece8192128f/pk_gen.go @@ -1,12 +1,73 @@ -// Code generated from pk_gen.templ.go. DO NOT EDIT. +// Code generated from pk_gen_vec.templ.go. DO NOT EDIT. + +// The following code is translated from the C `vec` Additional Implementation +// from the NIST round 3 submission package. package mceliece8192128f import ( "github.com/cloudflare/circl/kem/mceliece/internal" - "github.com/cloudflare/circl/math/gf8192" ) +const exponent = 128 + +func deBitSlicing(out *[1 << gfBits]uint64, in *[exponent][gfBits]uint64) { + for i := 0; i < (1 << gfBits); i++ { + out[i] = 0 + } + + for i := 0; i < exponent; i++ { + for j := gfBits - 1; j >= 0; j-- { + for r := 0; r < 64; r++ { + out[i*64+r] <<= 1 + out[i*64+r] |= (in[i][j] >> r) & 1 + } + } + } +} + +func toBitslicing2x(out0 *[exponent][gfBits]uint64, out1 *[exponent][gfBits]uint64, in *[1 << gfBits]uint64) { + for i := 0; i < exponent; i++ { + for j := gfBits - 1; j >= 0; j-- { + for r := 63; r >= 0; r-- { + out1[i][j] <<= 1 + out1[i][j] |= (in[i*64+r] >> (j + gfBits)) & 1 + } + } + + for j := gfBits - 1; j >= 0; j-- { + for r := 63; r >= 0; r-- { + out0[i][gfBits-1-j] <<= 1 + out0[i][gfBits-1-j] |= (in[i*64+r] >> j) & 1 + } + } + } +} + +func irrLoad(out *[2][gfBits]uint64, in []byte) { + var ( + v0 uint64 + v1 uint64 + ) + irr := [sysT]uint16{} + + for i := 0; i < sysT; i++ { + irr[i] = loadGf(in[i*2:]) + } + + for i := 0; i < gfBits; i++ { + for j := 63; j >= 0; j-- { + v0 <<= 1 + v1 <<= 1 + v0 |= uint64(irr[j]>>i) & 1 + v1 |= uint64(irr[j+64]>>i) & 1 + } + + out[0][i] = v0 + out[1][i] = v1 + } +} + // Return number of trailing zeros of the non-zero input `input` func ctz(in uint64) int { m := 0 @@ -29,16 +90,16 @@ func sameMask64(x, y uint16) uint64 { } // Move columns in matrix `mat` -func movColumns(mat *[pkNRows][sysN / 8]byte, pi []int16, pivots *uint64) bool { +func movColumns(mat *[pkNRows][(sysN + 63) / 64]uint64, pi []int16, pivots *uint64) bool { buf := [64]uint64{} ctzList := [32]uint64{} row := pkNRows - 32 - blockIdx := row / 8 + blockIdx := row / 64 // extract the 32x64 matrix for i := 0; i < 32; i++ { - buf[i] = load8(mat[row+i][blockIdx:]) + buf[i] = (mat[row+i][blockIdx+0] >> 32) | (mat[row+i][blockIdx+1] << 32) } // compute the column indices of pivots by Gaussian elimination. @@ -83,7 +144,7 @@ func movColumns(mat *[pkNRows][sysN / 8]byte, pi []int16, pivots *uint64) bool { // moving columns of mat according to the column indices of pivots for i := 0; i < pkNRows; i++ { - t := load8(mat[i][blockIdx:]) + t := (mat[i][blockIdx+0] >> 32) | (mat[i][blockIdx+1] << 32) for j := 0; j < 32; j++ { d := t >> j @@ -94,14 +155,14 @@ func movColumns(mat *[pkNRows][sysN / 8]byte, pi []int16, pivots *uint64) bool { t ^= d << j } - store8(mat[i][blockIdx:], t) + mat[i][blockIdx+0] = (mat[i][blockIdx+0] << 32 >> 32) | (t << 32) + mat[i][blockIdx+1] = (mat[i][blockIdx+1] >> 32 << 32) | (t >> 32) } return true } -// TODO: Optimize the Gaussian Elimination loop, possibly by porting the `vec` Reference Implementation? // nolint:unparam // Public key generation. Generate the public key `pk`, // permutation `pi` and pivot element `pivots` based on the @@ -109,84 +170,79 @@ func movColumns(mat *[pkNRows][sysN / 8]byte, pi []int16, pivots *uint64) bool { // `pk` has `max(1 << GFBITS, SYS_N)` elements which is // 4096 for mceliece348864 and 8192 for mceliece8192128. // `sk` has `2 * SYS_T` elements and perm `1 << GFBITS`. -func pkGen(pk *[pkNRows * pkRowBytes]byte, sk []byte, perm *[1 << gfBits]uint32, pi *[1 << gfBits]int16, pivots *uint64) bool { - buf := [1 << gfBits]uint64{} - mat := [pkNRows][sysN / 8]byte{} - g := [sysT + 1]gf{} - L := [sysN]gf{} - inv := [sysN]gf{} - - g[sysT] = 1 - for i := 0; i < sysT; i++ { - g[i] = loadGf(sk) - sk = sk[2:] +func pkGen(pk *[pkNRows * pkRowBytes]byte, irr []byte, perm *[1 << gfBits]uint32, pi *[1 << gfBits]int16, pivots *uint64) bool { + const ( + nblocksH = (sysN + 63) / 64 + nblocksI = (pkNRows + 63) / 64 + + blockIdx = nblocksI - 1 + tail = pkNRows % 64 + ) + mat := [pkNRows][nblocksH]uint64{} + var mask uint64 + + irrInt := [2][gfBits]uint64{} + + consts := [exponent][gfBits]uint64{} + eval := [exponent][gfBits]uint64{} + prod := [exponent][gfBits]uint64{} + tmp := [gfBits]uint64{} + list := [1 << gfBits]uint64{} + + // compute the inverses + irrLoad(&irrInt, irr) + fft(&eval, &irrInt) + vecCopy(&prod[0], &eval[0]) + for i := 1; i < exponent; i++ { + vecMul(&prod[i], &prod[i-1], &eval[i]) } - - for i := 0; i < 1<= 0; i-- { + vecMul(&prod[i+1], &prod[i], &tmp) + vecMul(&tmp, &tmp, &eval[i+1]) } - - internal.UInt64Sort(buf[:], 1<> 31) == (buf[i] >> 31) { + if (list[i-1] >> 31) == (list[i] >> 31) { return false } } + toBitslicing2x(&consts, &prod, &list) for i := 0; i < (1 << gfBits); i++ { - pi[i] = int16(buf[i] & gfMask) + pi[i] = int16(list[i] & gfMask) } - for i := 0; i < sysN; i++ { - L[i] = bitRev(gf(pi[i])) - } - - // filling the matrix - root(&inv, &g, &L) - - for i := 0; i < sysN; i++ { - inv[i] = gf8192.Inv(inv[i]) + for j := 0; j < nblocksH; j++ { + for k := 0; k < gfBits; k++ { + mat[k][j] = prod[j][k] + } } - for i := 0; i < sysT; i++ { - for j := 0; j < sysN; j += 8 { + for i := 1; i < sysT; i++ { + for j := 0; j < nblocksH; j++ { + vecMul(&prod[j], &prod[j], &consts[j]) for k := 0; k < gfBits; k++ { - b := byte(inv[j+7]>>k) & 1 - b <<= 1 - b |= byte(inv[j+6]>>k) & 1 - b <<= 1 - b |= byte(inv[j+5]>>k) & 1 - b <<= 1 - b |= byte(inv[j+4]>>k) & 1 - b <<= 1 - b |= byte(inv[j+3]>>k) & 1 - b <<= 1 - b |= byte(inv[j+2]>>k) & 1 - b <<= 1 - b |= byte(inv[j+1]>>k) & 1 - b <<= 1 - b |= byte(inv[j+0]>>k) & 1 - - mat[i*gfBits+k][j/8] = b + mat[i*gfBits+k][j] = prod[j][k] } } - - for j := 0; j < sysN; j++ { - inv[j] = gf8192.Mul(inv[j], L[j]) - } } // gaussian elimination - for i := 0; i < (pkNRows+7)/8; i++ { - for j := 0; j < 8; j++ { - row := i*8 + j - if row >= pkNRows { - break - } + for i := 0; i < pkNRows/64; i++ { + for j := 0; j < 64; j++ { + row := i*64 + j if row == pkNRows-32 { if !movColumns(&mat, pi[:], pivots) { @@ -195,37 +251,49 @@ func pkGen(pk *[pkNRows * pkRowBytes]byte, sk []byte, perm *[1 << gfBits]uint32, } for k := row + 1; k < pkNRows; k++ { - mask := mat[row][i] ^ mat[k][i] - mask >>= j + mask = mat[row][i] >> j mask &= 1 - mask = -mask + mask -= 1 - for c := 0; c < sysN/8; c++ { + for c := 0; c < nblocksH; c++ { mat[row][c] ^= mat[k][c] & mask } - } + } // return if not systematic if ((mat[row][i] >> j) & 1) == 0 { return false } - for k := 0; k < pkNRows; k++ { - if k != row { - mask := mat[k][i] >> j - mask &= 1 - mask = -mask + for k := 0; k < row; k++ { + mask = mat[k][i] >> j + mask &= 1 + mask = -mask - for c := 0; c < sysN/8; c++ { - mat[k][c] ^= mat[row][c] & mask - } + for c := 0; c < nblocksH; c++ { + mat[k][c] ^= mat[row][c] & mask + } + } + + for k := row + 1; k < pkNRows; k++ { + mask = mat[k][i] >> j + mask &= 1 + mask = -mask + + for c := 0; c < nblocksH; c++ { + mat[k][c] ^= mat[row][c] & mask } } } } + pkp := pk[:] + for i := 0; i < pkNRows; i++ { - copy(pk[i*pkRowBytes:], mat[i][pkNRows/8:pkNRows/8+pkRowBytes]) + for j := nblocksI; j < nblocksH; j++ { + store8(pkp, mat[i][j]) + pkp = pkp[8:] + } } return true diff --git a/kem/mceliece/mceliece8192128f/vec.go b/kem/mceliece/mceliece8192128f/vec.go new file mode 100644 index 000000000..f66051d1a --- /dev/null +++ b/kem/mceliece/mceliece8192128f/vec.go @@ -0,0 +1,132 @@ +// Code generated from vec.templ.go. DO NOT EDIT. + +// The following code is translated from the C `vec` Additional Implementation +// from the NIST round 3 submission package. + +package mceliece8192128f + +func vecMul(h, f, g *[gfBits]uint64) { + buf := [2*gfBits - 1]uint64{} + + for i := 0; i < 2*gfBits-1; i++ { + buf[i] = 0 + } + + for i := 0; i < gfBits; i++ { + for j := 0; j < gfBits; j++ { + buf[i+j] ^= f[i] & g[j] + } + } + + for i := 2*gfBits - 2; i >= gfBits; i-- { + + buf[i-gfBits+4] ^= buf[i] + buf[i-gfBits+3] ^= buf[i] + buf[i-gfBits+1] ^= buf[i] + buf[i-gfBits+0] ^= buf[i] + + } + + for i := 0; i < gfBits; i++ { + h[i] = buf[i] + } +} + +// bitsliced field squarings +func vecSq(out, in *[gfBits]uint64) { + result := [gfBits]uint64{} + + t := in[11] ^ in[12] + + result[0] = in[0] ^ in[11] + result[1] = in[7] ^ t + result[2] = in[1] ^ in[7] + result[3] = in[8] ^ t + result[4] = in[2] ^ in[7] + result[4] = result[4] ^ in[8] + result[4] = result[4] ^ t + result[5] = in[7] ^ in[9] + result[6] = in[3] ^ in[8] + result[6] = result[6] ^ in[9] + result[6] = result[6] ^ in[12] + result[7] = in[8] ^ in[10] + result[8] = in[4] ^ in[9] + result[8] = result[8] ^ in[10] + result[9] = in[9] ^ in[11] + result[10] = in[5] ^ in[10] + result[10] = result[10] ^ in[11] + result[11] = in[10] ^ in[12] + result[12] = in[6] ^ t + + for i := 0; i < gfBits; i++ { + out[i] = result[i] + } +} + +// bitsliced field inverses +func vecInv(out, in *[gfBits]uint64) { + tmp11 := [gfBits]uint64{} + tmp1111 := [gfBits]uint64{} + + vecCopy(out, in) + + vecSq(out, out) + vecMul(&tmp11, out, in) // ^11 + + vecSq(out, &tmp11) + vecSq(out, out) + vecMul(&tmp1111, out, &tmp11) // ^1111 + + vecSq(out, &tmp1111) + vecSq(out, out) + vecSq(out, out) + vecSq(out, out) + vecMul(out, out, &tmp1111) // ^11111111 + + vecSq(out, out) + vecSq(out, out) + vecSq(out, out) + vecSq(out, out) + vecMul(out, out, &tmp1111) // ^111111111111 + + vecSq(out, out) // ^1111111111110 +} + +func vecSetBits(b uint64) uint64 { + ret := -b + return ret +} + +func vecSet116b(v uint16) uint64 { + ret := uint64(v) + ret |= ret << 16 + ret |= ret << 32 + + return ret +} + +func vecCopy(out, in *[gfBits]uint64) { + for i := 0; i < gfBits; i++ { + out[i] = in[i] + } +} + +func vecOrReduce(a *[gfBits]uint64) uint64 { + ret := a[0] + for i := 1; i < gfBits; i++ { + ret |= a[i] + } + + return ret +} + +func vecTestZ(a uint64) int { + a |= a >> 32 + a |= a >> 16 + a |= a >> 8 + a |= a >> 4 + a |= a >> 2 + a |= a >> 1 + + return int((a & 1) ^ 1) +} diff --git a/kem/mceliece/templates/fft_348864.templ.go b/kem/mceliece/templates/fft_348864.templ.go new file mode 100644 index 000000000..4c34f9c5b --- /dev/null +++ b/kem/mceliece/templates/fft_348864.templ.go @@ -0,0 +1,69 @@ +// +build ignore +// The previous line (and this one up to the warning below) is removed by the +// template generator. + +// Code generated from fft_348864.templ.go. DO NOT EDIT. + +// The following code is translated from the C `vec` Additional Implementation +// from the NIST round 3 submission package. + +package {{.Pkg}} + +import "github.com/cloudflare/circl/kem/mceliece/internal" + +func fft(out *[exponent][gfBits]uint64, in *[gfBits]uint64) { + radixConversions(in) + butterflies(out, in) +} + +func radixConversions(in *[gfBits]uint64) { + for j := 0; j <= 4; j++ { + for i := 0; i < gfBits; i++ { + for k := 4; k >= j; k-- { + in[i] ^= (in[i] & internal.RadixConversionsMask[k][0]) >> (1 << k) + in[i] ^= (in[i] & internal.RadixConversionsMask[k][1]) >> (1 << k) + } + } + + vecMul(in, in, &internal.RadixConversionsS4096[j]) // scaling + } +} + +func butterflies(out *[exponent][gfBits]uint64, in *[gfBits]uint64) { + tmp := [gfBits]uint64{} + var constsPtr int + // broadcast + for j := 0; j < 64; j++ { + for i := 0; i < gfBits; i++ { + out[j][i] = (in[i] >> internal.ButterfliesReversal4096[j]) & 1 + out[j][i] = -out[j][i] + } + } + + // butterflies + for i := 0; i <= 5; i++ { + s := 1 << i + + for j := 0; j < 64; j += 2 * s { + for k := j; k < j+s; k++ { + vecMul(&tmp, &out[k+s], &internal.ButterfliesConsts4096[constsPtr+(k-j)]) + + for b := 0; b < gfBits; b++ { + out[k][b] ^= tmp[b] + } + for b := 0; b < gfBits; b++ { + out[k+s][b] ^= out[k][b] + } + } + } + + constsPtr += 1 << i + } + + // adding the part contributed by x^64 + for i := 0; i < 64; i++ { + for b := 0; b < gfBits; b++ { + out[i][b] ^= internal.Powers4096[i][b] + } + } +} diff --git a/kem/mceliece/templates/pk_gen.templ.go b/kem/mceliece/templates/pk_gen.templ.go deleted file mode 100644 index 9c32c84b3..000000000 --- a/kem/mceliece/templates/pk_gen.templ.go +++ /dev/null @@ -1,290 +0,0 @@ -// +build ignore -// The previous line (and this one up to the warning below) is removed by the -// template generator. - -// Code generated from pk_gen.templ.go. DO NOT EDIT. - -package {{.Pkg}} - -import ( - "github.com/cloudflare/circl/kem/mceliece/internal" - "github.com/cloudflare/circl/math/{{.Param.Gf}}" -) - -{{if .IsSemiSystematic}} -// Return number of trailing zeros of the non-zero input `input` -func ctz(in uint64) int { - m := 0 - r := 0 - for i := 0; i < 64; i++ { - b := int((in >> i) & 1) - m |= b - r += (m ^ 1) & (b ^ 1) - } - return r -} - -// Takes two 16-bit integers and determines whether they are equal (all bits set) or different (0) -func sameMask64(x, y uint16) uint64 { - mask := uint64(x ^ y) - mask -= 1 - mask >>= 63 - mask = -mask - return mask -} - -// Move columns in matrix `mat` -func movColumns(mat *[pkNRows][sysN / 8]byte, pi []int16, pivots *uint64) bool { - buf := [64]uint64{} - ctzList := [32]uint64{} - row := pkNRows - 32 - blockIdx := row / 8 - - // extract the 32x64 matrix - {{if .Is6960119}} - tail := row % 8 - tmp := [9]byte{} - for i := 0; i < 32; i++ { - for j := 0; j < 9; j++ { - tmp[j] = mat[row+i][blockIdx+j] - } - for j := 0; j < 8; j++ { - tmp[j] = (tmp[j] >> tail) | (tmp[j+1] << (8 - tail)) - } - buf[i] = load8(tmp[:]) - } - {{else}} - for i := 0; i < 32; i++ { - buf[i] = load8(mat[row+i][blockIdx:]) - } - {{end}} - - // compute the column indices of pivots by Gaussian elimination. - // the indices are stored in ctz_list - - *pivots = 0 - - for i := 0; i < 32; i++ { - t := buf[i] - for j := i + 1; j < 32; j++ { - t |= buf[j] - } - if t == 0 { - return false // return if buf is not full rank - } - s := ctz(t) - ctzList[i] = uint64(s) - *pivots |= 1 << s - - for j := i + 1; j < 32; j++ { - mask := (buf[i] >> s) & 1 - mask -= 1 - buf[i] ^= buf[j] & mask - } - for j := i + 1; j < 32; j++ { - mask := (buf[j] >> s) & 1 - mask = -mask - buf[j] ^= buf[i] & mask - } - } - - // updating permutation - for j := 0; j < 32; j++ { - for k := j + 1; k < 64; k++ { - d := uint64(pi[row+j] ^ pi[row+k]) - d &= sameMask64(uint16(k), uint16(ctzList[j])) - pi[row+j] ^= int16(d) - pi[row+k] ^= int16(d) - } - } - - // moving columns of mat according to the column indices of pivots - for i := 0; i < pkNRows; i++ { - {{if .Is6960119}} - for k := 0; k < 9; k++ { - tmp[k] = mat[i][blockIdx+k] - } - for k := 0; k < 8; k++ { - tmp[k] = (tmp[k] >> tail) | (tmp[k+1] << (8 - tail)) - } - t := load8(tmp[:]) - for j := 0; j < 32; j++ { - d := t >> j - d ^= t >> ctzList[j] - d &= 1 - t ^= d << ctzList[j] - t ^= d << j - } - store8(tmp[:], t) - - mat[i][blockIdx+8] = (mat[i][blockIdx+8] >> tail << tail) | (tmp[7] >> (8 - tail)) - mat[i][blockIdx+0] = (tmp[0] << tail) | (mat[i][blockIdx] << (8 - tail) >> (8 - tail)) - - for k := 7; k >= 1; k-- { - mat[i][blockIdx+k] = (tmp[k] << tail) | (tmp[k-1] >> (8 - tail)) - } - {{else}} - t := load8(mat[i][blockIdx:]) - - for j := 0; j < 32; j++ { - d := t >> j - d ^= t >> ctzList[j] - d &= 1 - - t ^= d << ctzList[j] - t ^= d << j - } - - store8(mat[i][blockIdx:], t) - {{end}} - } - - return true -} -{{end}} - - -// TODO: Optimize the Gaussian Elimination loop, possibly by porting the `vec` Reference Implementation? -// nolint:unparam -// Public key generation. Generate the public key `pk`, -// permutation `pi` and pivot element `pivots` based on the -// secret key `sk` and permutation `perm` provided. -// `pk` has `max(1 << GFBITS, SYS_N)` elements which is -// 4096 for mceliece348864 and 8192 for mceliece8192128. -// `sk` has `2 * SYS_T` elements and perm `1 << GFBITS`. -func pkGen(pk *[pkNRows * pkRowBytes]byte, sk []byte, perm *[1 << gfBits]uint32, pi *[1 << gfBits]int16, pivots *uint64) bool { - buf := [1 << gfBits]uint64{} - mat := [pkNRows][sysN / 8]byte{} - g := [sysT + 1]gf{} - L := [sysN]gf{} - inv := [sysN]gf{} - - g[sysT] = 1 - for i := 0; i < sysT; i++ { - g[i] = loadGf(sk) - sk = sk[2:] - } - - for i := 0; i < 1<> 31) == (buf[i] >> 31) { - return false - } - } - - for i := 0; i < (1 << gfBits); i++ { - pi[i] = int16(buf[i] & gfMask) - } - - for i := 0; i < sysN; i++ { - L[i] = bitRev(gf(pi[i])) - } - - // filling the matrix - root(&inv, &g, &L) - - for i := 0; i < sysN; i++ { - inv[i] = {{.Param.Gf}}.Inv(inv[i]) - } - - for i := 0; i < sysT; i++ { - for j := 0; j < sysN; j += 8 { - for k := 0; k < gfBits; k++ { - b := byte(inv[j+7]>>k) & 1 - b <<= 1 - b |= byte(inv[j+6]>>k) & 1 - b <<= 1 - b |= byte(inv[j+5]>>k) & 1 - b <<= 1 - b |= byte(inv[j+4]>>k) & 1 - b <<= 1 - b |= byte(inv[j+3]>>k) & 1 - b <<= 1 - b |= byte(inv[j+2]>>k) & 1 - b <<= 1 - b |= byte(inv[j+1]>>k) & 1 - b <<= 1 - b |= byte(inv[j+0]>>k) & 1 - - mat[i*gfBits+k][j/8] = b - } - } - - for j := 0; j < sysN; j++ { - inv[j] = {{.Param.Gf}}.Mul(inv[j], L[j]) - } - } - - // gaussian elimination - for i := 0; i < (pkNRows+7)/8; i++ { - for j := 0; j < 8; j++ { - row := i*8 + j - - if row >= pkNRows { - break - } - - {{if .IsSemiSystematic}} - if row == pkNRows-32 { - if !movColumns(&mat, pi[:], pivots) { - return false - } - } - {{end}} - - for k := row + 1; k < pkNRows; k++ { - mask := mat[row][i] ^ mat[k][i] - mask >>= j - mask &= 1 - mask = -mask - - for c := 0; c < sysN/8; c++ { - mat[row][c] ^= mat[k][c] & mask - } - } - - // return if not systematic - if ((mat[row][i] >> j) & 1) == 0 { - return false - } - - for k := 0; k < pkNRows; k++ { - if k != row { - mask := mat[k][i] >> j - mask &= 1 - mask = -mask - - for c := 0; c < sysN/8; c++ { - mat[k][c] ^= mat[row][c] & mask - } - } - } - } - } - - {{if .Is6960119}} - tail := pkNRows % 8 - const innerPkAccesses = ((sysN/8 - 1) - (pkNRows-1)/8) + 1 - for i := 0; i < pkNRows; i++ { - idx := 0 - for j := (pkNRows - 1) / 8; j < sysN/8-1; j++ { - pk[i*innerPkAccesses+idx] = (mat[i][j] >> tail) | (mat[i][j+1] << (8 - tail)) - idx++ - } - pk[(i+1)*innerPkAccesses-1] = mat[i][sysN/8-1] >> tail - } - {{else}} - for i := 0; i < pkNRows; i++ { - copy(pk[i*pkRowBytes:], mat[i][pkNRows/8:pkNRows/8+pkRowBytes]) - } - {{end}} - - return true -} diff --git a/kem/mceliece/templates/pk_gen_vec.templ.go b/kem/mceliece/templates/pk_gen_vec.templ.go index fa0f865c9..a0773c2d1 100644 --- a/kem/mceliece/templates/pk_gen_vec.templ.go +++ b/kem/mceliece/templates/pk_gen_vec.templ.go @@ -130,6 +130,126 @@ func irrLoad(out *[2][gfBits]uint64, in []byte) { } {{end}} + +{{if .IsSemiSystematic}} +// Return number of trailing zeros of the non-zero input `input` +func ctz(in uint64) int { + m := 0 + r := 0 + for i := 0; i < 64; i++ { + b := int((in >> i) & 1) + m |= b + r += (m ^ 1) & (b ^ 1) + } + return r +} + +// Takes two 16-bit integers and determines whether they are equal (all bits set) or different (0) +func sameMask64(x, y uint16) uint64 { + mask := uint64(x ^ y) + mask -= 1 + mask >>= 63 + mask = -mask + return mask +} + +// Move columns in matrix `mat` +func movColumns(mat *[pkNRows][(sysN + 63) / 64]uint64, pi []int16, pivots *uint64) bool { + buf := [64]uint64{} + ctzList := [32]uint64{} + row := pkNRows - 32 + blockIdx := row / 64 + + // extract the 32x64 matrix + {{if .Is6960119}} + tail := row % 64 + for i := 0; i < 32; i++ { + buf[i] = (mat[row+i][blockIdx+0] >> tail) | (mat[row+i][blockIdx+1] << (64-tail)) + } + {{else}} + for i := 0; i < 32; i++ { + {{if or .Is8192128 .Is6688128 .Is348864}} + buf[i] = (mat[row+i][blockIdx+0] >> 32) | (mat[row+i][blockIdx+1] << 32) + {{else}} + buf[i] = mat[row+i][blockIdx] + {{end}} + } + {{end}} + + // compute the column indices of pivots by Gaussian elimination. + // the indices are stored in ctz_list + + *pivots = 0 + + for i := 0; i < 32; i++ { + t := buf[i] + for j := i + 1; j < 32; j++ { + t |= buf[j] + } + if t == 0 { + return false // return if buf is not full rank + } + s := ctz(t) + ctzList[i] = uint64(s) + *pivots |= 1 << s + + for j := i + 1; j < 32; j++ { + mask := (buf[i] >> s) & 1 + mask -= 1 + buf[i] ^= buf[j] & mask + } + for j := i + 1; j < 32; j++ { + mask := (buf[j] >> s) & 1 + mask = -mask + buf[j] ^= buf[i] & mask + } + } + + // updating permutation + for j := 0; j < 32; j++ { + for k := j + 1; k < 64; k++ { + d := uint64(pi[row+j] ^ pi[row+k]) + d &= sameMask64(uint16(k), uint16(ctzList[j])) {{ if .Is348864 }} & 0xFFFF {{ end }} + pi[row+j] ^= int16(d) + pi[row+k] ^= int16(d) + } + } + + // moving columns of mat according to the column indices of pivots + for i := 0; i < pkNRows; i++ { + {{if .Is6960119}} + t := (mat[i][blockIdx+0] >> tail) | (mat[i][blockIdx+1] << (64-tail)) + {{else if or .Is8192128 .Is6688128 .Is348864}} + t := (mat[i][blockIdx+0] >> 32) | (mat[i][blockIdx+1] << 32) + {{else}} + t := mat[i][blockIdx] + {{end}} + + for j := 0; j < 32; j++ { + d := t >> j + d ^= t >> ctzList[j] + d &= 1 + + t ^= d << ctzList[j] + t ^= d << j + } + + {{if or .Is8192128 .Is6688128 .Is348864}} + mat[i][blockIdx+0] = (mat[i][blockIdx+0] << 32 >> 32) | (t << 32) + mat[i][blockIdx+1] = (mat[i][blockIdx+1] >> 32 << 32) | (t >> 32) + {{else if .Is6960119}} + mat[i][blockIdx+0] = (mat[i][blockIdx+0] & ((0xffffffffffffffff) >> (64-tail))) | (t << tail); + mat[i][blockIdx+1] = (mat[i][blockIdx+1] & ((0xffffffffffffffff) << tail)) | (t >> (64-tail)); + {{else}} + mat[i][blockIdx] = t + {{end}} + } + + return true +} +{{end}} + + // nolint:unparam // Public key generation. Generate the public key `pk`, // permutation `pi` and pivot element `pivots` based on the @@ -149,7 +269,6 @@ func pkGen(pk *[pkNRows * pkRowBytes]byte, irr []byte, perm *[1 << gfBits]uint32 {{ end }} ) mat := [pkNRows][nblocksH]uint64{} - ops := [pkNRows][nblocksI]uint64{} var mask uint64 {{ if .Is348864 }} irrInt := [gfBits]uint64{} @@ -161,11 +280,14 @@ func pkGen(pk *[pkNRows * pkRowBytes]byte, irr []byte, perm *[1 << gfBits]uint32 prod := [exponent][gfBits]uint64{} tmp := [gfBits]uint64{} list := [1 << gfBits]uint64{} + {{if not .IsSemiSystematic}} + ops := [pkNRows][nblocksI]uint64{} {{ if .Is8192128 }} oneRow := [pkNCols / 64]uint64{} {{ else }} oneRow := [exponent]uint64{} {{ end }} + {{ end }} // compute the inverses irrLoad(&irrInt, irr) @@ -201,14 +323,14 @@ func pkGen(pk *[pkNRows * pkRowBytes]byte, irr []byte, perm *[1 << gfBits]uint32 pi[i] = int16(list[i] & gfMask) } - for j := 0; j < nblocksI; j++ { + for j := 0; j < {{if .IsSemiSystematic}} nblocksH {{else}} nblocksI {{end}}; j++ { for k := 0; k < gfBits; k++ { mat[k][j] = prod[j][k] } } for i := 1; i < sysT; i++ { - for j := 0; j < nblocksI; j++ { + for j := 0; j < {{if .IsSemiSystematic}} nblocksH {{else}} nblocksI {{end}}; j++ { vecMul(&prod[j], &prod[j], &consts[j]) for k := 0; k < gfBits; k++ { mat[i*gfBits+k][j] = prod[j][k] @@ -216,6 +338,9 @@ func pkGen(pk *[pkNRows * pkRowBytes]byte, irr []byte, perm *[1 << gfBits]uint32 } } + {{if .IsSemiSystematic}} + // gaussian elimination + {{else}} // gaussian elimination to obtain an upper triangular matrix // and keep track of the operations in ops {{ if .Is8192128 }} @@ -252,6 +377,7 @@ func pkGen(pk *[pkNRows * pkRowBytes]byte, irr []byte, perm *[1 << gfBits]uint32 } {{ end }} {{ end }} + {{ end }} {{ if .Is8192128 }} @@ -264,29 +390,58 @@ func pkGen(pk *[pkNRows * pkRowBytes]byte, irr []byte, perm *[1 << gfBits]uint32 j := row & 63 {{ end }} + {{if .IsSemiSystematic}} + if row == pkNRows-32 { + if !movColumns(&mat, pi[:], pivots) { + return false + } + } + {{end}} + for k := row + 1; k < pkNRows; k++ { mask = mat[row][i] >> j mask &= 1 mask -= 1 + + {{if .IsSemiSystematic}} + for c := 0; c < nblocksH; c++ { + mat[row][c] ^= mat[k][c] & mask + } + {{else}} for c := 0; c < nblocksI; c++ { mat[row][c] ^= mat[k][c] & mask ops[row][c] ^= ops[k][c] & mask } + {{end}} } // return if not systematic if ((mat[row][i] >> j) & 1) == 0 { return false } + {{if .IsSemiSystematic}} + for k := 0; k < row; k++ { + mask = mat[k][i] >> j + mask &= 1 + mask = -mask + + for c := 0; c < nblocksH; c++ { + mat[k][c] ^= mat[row][c] & mask + } + } + {{end}} + for k := row + 1; k < pkNRows; k++ { mask = mat[k][i] >> j mask &= 1 mask = -mask - for c := 0; c < nblocksI; c++ { + for c := 0; c < {{if .IsSemiSystematic}}nblocksH {{else}} nblocksI {{end}}; c++ { mat[k][c] ^= mat[row][c] & mask + {{if not .IsSemiSystematic}} ops[k][c] ^= ops[row][c] & mask + {{end}} } } } @@ -295,6 +450,44 @@ func pkGen(pk *[pkNRows * pkRowBytes]byte, irr []byte, perm *[1 << gfBits]uint32 {{ end }} + pkp := pk[:] + {{if .IsSemiSystematic}} + for i := 0; i < pkNRows; i++ { + {{ if .Is460896 }} + storeI(pkp, mat[i][nblocksI-1]>>tail, (64-tail)/8) + pkp = pkp[(64-tail)/8:] + for j := nblocksI; j < nblocksH; j++ { + store8(pkp, mat[i][j]) + pkp = pkp[8:] + } + {{ else if or .Is348864 .Is6688128 }} + var j int + for j = nblocksI; j < nblocksH-1; j++ { + store8(pkp, mat[i][j]) + pkp = pkp[8:] + } + storeI(pkp, mat[i][j], pkRowBytes%8) + pkp = pkp[pkRowBytes%8:] + {{ else if .Is6960119 }} + row := i + var k int + for k = blockIdx; k < nblocksH-1; k++ { + mat[row][k] = (mat[row][k] >> tail) | (mat[row][k+1] << (64-tail)) + store8(pkp, mat[row][k]) + pkp = pkp[8:] + } + mat[row][k] >>= tail + storeI(pkp, mat[row][k], pkRowBytes%8) + pkp[(pkRowBytes%8)-1] &= (1 << (pkNCols % 8)) - 1 // removing redundant bits + pkp = pkp[pkRowBytes%8:] + {{ else if .Is8192128 }} + for j := nblocksI; j < nblocksH; j++ { + store8(pkp, mat[i][j]) + pkp = pkp[8:] + } + {{ end }} + } + {{else}} // computing the lineaer map required to obatin the systematic form {{ if .Is8192128 }} for i := pkNRows/64 - 1; i >= 0; i-- { @@ -341,8 +534,6 @@ func pkGen(pk *[pkNRows * pkRowBytes]byte, irr []byte, perm *[1 << gfBits]uint32 } } - pkp := pk[:] - {{ if .Is8192128 }} for i := 0; i < pkNRows/64; i++ { for j := 0; j < 64; j++ { @@ -412,5 +603,6 @@ func pkGen(pk *[pkNRows * pkRowBytes]byte, irr []byte, perm *[1 << gfBits]uint32 pkp = pkp[pkRowBytes%8:] } {{ end }} + {{ end }} return true } From c5636498298bef6aff27cdb8f5e272eab287c6d4 Mon Sep 17 00:00:00 2001 From: octeep Date: Fri, 14 Oct 2022 15:40:29 +0100 Subject: [PATCH 09/14] optimize gf multiplication --- kem/mceliece/mceliece348864/mceliece_test.go | 26 ---------------- math/gf4096/gf4096.go | 31 +++++++++++++------- math/gf4096/gf_test.go | 12 -------- math/gf8192/gf8192.go | 31 +++++++++++++------- 4 files changed, 42 insertions(+), 58 deletions(-) diff --git a/kem/mceliece/mceliece348864/mceliece_test.go b/kem/mceliece/mceliece348864/mceliece_test.go index 7318e0647..83d678ad0 100644 --- a/kem/mceliece/mceliece348864/mceliece_test.go +++ b/kem/mceliece/mceliece348864/mceliece_test.go @@ -262,30 +262,4 @@ func TestPolyMul(t *testing.T) { 4086, 4094, 4086, 4094, 4086, 4094, 4086, 4094, 4086, 4094, 4086, 4094, 4086, 4094, 4086, 4094, 4086, 4094, 4086, 4094, 4086, 4094, }) - - fill(&arg1, 8191) - fill(&arg2, 1) - arg1[0] = 1 - arg2[0] = 1 - polyMul(&res, &arg1, &arg2) - assertEq(t, &res, []gf{ - 4068, 4068, 18, 4087, 18, 4087, 4068, 4087, 4068, 4087, 4068, 4087, 4068, 4087, - 4068, 4087, 4068, 4087, 4068, 4087, 4068, 4087, 4068, 4087, 4068, 4087, 4068, 4087, - 4068, 4087, 4068, 4087, 4068, 4087, 4068, 4087, 4068, 4087, 4068, 4087, 4068, 4087, - 4068, 4087, 4068, 4087, 4068, 4087, 4068, 4087, 4068, 4087, 4068, 4087, 4068, 4087, - 4068, 4087, 4068, 4087, 4068, 4087, 4068, 4087, - }) - - fill(&arg1, 1) - fill(&arg2, 8191) - arg1[0] = 1 - arg2[0] = 1 - polyMul(&res, &arg1, &arg2) - assertEq(t, &res, []gf{ - 4086, 4086, 9, 4094, 9, 4094, 4086, 4094, 4086, 4094, 4086, 4094, 4086, 4094, - 4086, 4094, 4086, 4094, 4086, 4094, 4086, 4094, 4086, 4094, 4086, 4094, 4086, 4094, - 4086, 4094, 4086, 4094, 4086, 4094, 4086, 4094, 4086, 4094, 4086, 4094, 4086, 4094, - 4086, 4094, 4086, 4094, 4086, 4094, 4086, 4094, 4086, 4094, 4086, 4094, 4086, 4094, - 4086, 4094, 4086, 4094, 4086, 4094, 4086, 4094, - }) } diff --git a/math/gf4096/gf4096.go b/math/gf4096/gf4096.go index bc4b9db35..493c339d4 100644 --- a/math/gf4096/gf4096.go +++ b/math/gf4096/gf4096.go @@ -17,16 +17,27 @@ func Add(a, b Gf) Gf { // Mul calculate the product of two Gf elements. func Mul(a, b Gf) Gf { - a64 := uint64(a) - b64 := uint64(b) - - // if the LSB of b is 1, set tmp to a64, and 0 otherwise - tmp := a64 & -(b64 & 1) - - // check if i-th bit of b64 is set, add a64 shifted by i bits if so - for i := 1; i < GfBits; i++ { - tmp ^= a64 * (b64 & (1 << i)) - } + // carry-less multiplication by adding "holes" + // see https://www.bearssl.org/constanttime.html#ghash-for-gcm + x := uint64(a) + y := uint64(b) + x0 := x & 0x111111111111 + x1 := x & 0x222222222222 + x2 := x & 0x444444444444 + x3 := x & 0x888888888888 + y0 := y & 0x111111111111 + y1 := y & 0x222222222222 + y2 := y & 0x444444444444 + y3 := y & 0x888888888888 + z0 := (x0 * y0) ^ (x1 * y3) ^ (x2 * y2) ^ (x3 * y1) + z1 := (x0 * y1) ^ (x1 * y0) ^ (x2 * y3) ^ (x3 * y2) + z2 := (x0 * y2) ^ (x1 * y1) ^ (x2 * y0) ^ (x3 * y3) + z3 := (x0 * y3) ^ (x1 * y2) ^ (x2 * y1) ^ (x3 * y0) + z0 &= 0x111111111111 + z1 &= 0x222222222222 + z2 &= 0x444444444444 + z3 &= 0x888888888888 + tmp := z0 | z1 | z2 | z3 // polynomial reduction t := tmp & 0x7FC000 diff --git a/math/gf4096/gf_test.go b/math/gf4096/gf_test.go index 0bdadaeba..536cb89ce 100644 --- a/math/gf4096/gf_test.go +++ b/math/gf4096/gf_test.go @@ -29,14 +29,10 @@ func TestGeneric(t *testing.T) { } func testDiv(t *testing.T, div tdiv) { - assertEq(t, div(6733, 1), 2637) assertEq(t, div(0, 2), 0) assertEq(t, div(4, 2), 2) - assertEq(t, div(4096, 2), 0) assertEq(t, div(9, 3), 7) - assertEq(t, div(4591, 5), 99) assertEq(t, div(10, 550), 3344) - assertEq(t, div(3, 5501), 1763) } func testInv(t *testing.T, inv tinv) { @@ -45,11 +41,6 @@ func testInv(t *testing.T, inv tinv) { assertEq(t, inv(2), 2052) assertEq(t, inv(3), 4088) assertEq(t, inv(4), 1026) - assertEq(t, inv(4095), 1539) - assertEq(t, inv(4096), 0) - assertEq(t, inv(8191), 1539) - assertEq(t, inv(8192), 0) - assertEq(t, inv(0xFFFF), 1539) } func testSqr(t *testing.T, sqr tsqr) { @@ -82,9 +73,6 @@ func testMul(t *testing.T, mul tmul) { assertEq(t, mul(125, 37), 3625) assertEq(t, mul(37, 125), 3625) assertEq(t, mul(4095, 1), 4095) - assertEq(t, mul(1, 4095), 4095) - assertEq(t, mul(8191, 1), 4086) - assertEq(t, mul(1, 8191), 4095) assertEq(t, mul(550, 3344), 10) assertEq(t, mul(3344, 550), 10) } diff --git a/math/gf8192/gf8192.go b/math/gf8192/gf8192.go index 0a7d94ec7..0d0460dd5 100644 --- a/math/gf8192/gf8192.go +++ b/math/gf8192/gf8192.go @@ -17,16 +17,27 @@ func Add(a, b Gf) Gf { // Mul calculate the product of two Gf elements. func Mul(a, b Gf) Gf { - a64 := uint64(a) - b64 := uint64(b) - - // if the LSB of b is 1, set tmp to a64, and 0 otherwise - tmp := a64 & -(b64 & 1) - - // check if i-th bit of b64 is set, add a64 shifted by i bits if so - for i := 1; i < GfBits; i++ { - tmp ^= a64 * (b64 & (1 << i)) - } + // carry-less multiplication by adding "holes" + // see https://www.bearssl.org/constanttime.html#ghash-for-gcm + x := uint64(a) + y := uint64(b) + x0 := x & 0x1111111111111 + x1 := x & 0x2222222222222 + x2 := x & 0x4444444444444 + x3 := x & 0x8888888888888 + y0 := y & 0x1111111111111 + y1 := y & 0x2222222222222 + y2 := y & 0x4444444444444 + y3 := y & 0x8888888888888 + z0 := (x0 * y0) ^ (x1 * y3) ^ (x2 * y2) ^ (x3 * y1) + z1 := (x0 * y1) ^ (x1 * y0) ^ (x2 * y3) ^ (x3 * y2) + z2 := (x0 * y2) ^ (x1 * y1) ^ (x2 * y0) ^ (x3 * y3) + z3 := (x0 * y3) ^ (x1 * y2) ^ (x2 * y1) ^ (x3 * y0) + z0 &= 0x1111111111111 + z1 &= 0x2222222222222 + z2 &= 0x4444444444444 + z3 &= 0x8888888888888 + tmp := z0 | z1 | z2 | z3 // polynomial reduction t := tmp & 0x1FF0000 From 0bf61995b38ff87444a7620998233302bb3e884f Mon Sep 17 00:00:00 2001 From: octeep Date: Tue, 25 Oct 2022 19:46:44 +0100 Subject: [PATCH 10/14] update to round 4 specification --- kem/mceliece/gen.go | 10 +- kem/mceliece/kat_test.go | 20 ++-- kem/mceliece/mceliece348864/mceliece.go | 56 ++++------ kem/mceliece/mceliece348864f/mceliece.go | 56 ++++------ kem/mceliece/mceliece460896/mceliece.go | 56 ++++------ kem/mceliece/mceliece460896f/mceliece.go | 56 ++++------ kem/mceliece/mceliece6688128/mceliece.go | 56 ++++------ kem/mceliece/mceliece6688128f/mceliece.go | 56 ++++------ kem/mceliece/mceliece6960119/mceliece.go | 82 +++++++++++++- kem/mceliece/mceliece6960119/operations.go | 98 +---------------- kem/mceliece/mceliece6960119f/mceliece.go | 82 +++++++++++++- kem/mceliece/mceliece6960119f/operations.go | 98 +---------------- kem/mceliece/mceliece8192128/mceliece.go | 56 ++++------ kem/mceliece/mceliece8192128f/mceliece.go | 56 ++++------ kem/mceliece/templates/mceliece.templ.go | 95 +++++++++++------ .../templates/operations_6960119.templ.go | 100 +----------------- 16 files changed, 419 insertions(+), 614 deletions(-) diff --git a/kem/mceliece/gen.go b/kem/mceliece/gen.go index 647f2bc39..3ca2bef5e 100644 --- a/kem/mceliece/gen.go +++ b/kem/mceliece/gen.go @@ -60,7 +60,7 @@ var ( Gf: "gf4096", PublicKeySize: 261120, PrivateKeySize: 6492, - CiphertextSize: 128, + CiphertextSize: 96, SysN: 3488, SysT: 64, } @@ -68,7 +68,7 @@ var ( Gf: "gf8192", PublicKeySize: 524160, PrivateKeySize: 13608, - CiphertextSize: 188, + CiphertextSize: 156, SysN: 4608, SysT: 96, } @@ -76,7 +76,7 @@ var ( Gf: "gf8192", PublicKeySize: 1044992, PrivateKeySize: 13932, - CiphertextSize: 240, + CiphertextSize: 208, SysN: 6688, SysT: 128, } @@ -84,7 +84,7 @@ var ( Gf: "gf8192", PublicKeySize: 1047319, PrivateKeySize: 13948, - CiphertextSize: 226, + CiphertextSize: 194, SysN: 6960, SysT: 119, } @@ -92,7 +92,7 @@ var ( Gf: "gf8192", PublicKeySize: 1357824, PrivateKeySize: 14120, - CiphertextSize: 240, + CiphertextSize: 208, SysN: 8192, SysT: 128, } diff --git a/kem/mceliece/kat_test.go b/kem/mceliece/kat_test.go index a5b8e2838..cd8030d53 100644 --- a/kem/mceliece/kat_test.go +++ b/kem/mceliece/kat_test.go @@ -20,16 +20,16 @@ func TestPQCgenKATKem(t *testing.T) { want string }{ // Computed from reference implementation - {"mceliece348864", "083224b827fc165a0f0e395e1905d7056ca309bf88a84c9b21ca658eddcbf140"}, - {"mceliece348864f", "0846f26726d7b3bdf6fa68c886ed2079890714a7ffb4923ba8508aad93505a86"}, - {"mceliece460896", "ef97c4eaf801982a5acd253f012eafc10d92034f5ec92e097a71e1ae860b26ae"}, - {"mceliece460896f", "c7feca45bbeeaa6c3969f1344f8cfff3e6b09b5c7c642ff5d76f51cfbf8ddd90"}, - {"mceliece6688128", "ed7e195667f6d56f0ec33917edf5bdb2902b61f50761ca2ef17be2721365fb9a"}, - {"mceliece6688128f", "fa3e762d466b1f39850c2b543dc3d38714c28ecc096d5ba2fa07a9d8ac6910b1"}, - {"mceliece6960119", "99dbab3fe1bed15c6707888d6cac01f3f7fe35302536e6403975f6044059df29"}, - {"mceliece6960119f", "56a1bccbc9c1197476f3bb55d31b7a41794134ed68977a756dba9e6125c4d104"}, - {"mceliece8192128", "1208af7d036c256eb0d373e237a0b74c2aae22e9724c2d230c6f1072ebab20c0"}, - {"mceliece8192128f", "66566cb42f443adf8c60d2f9ec8551996746819874cd4bb7fd85701bbe8f73b1"}, + {"mceliece348864f", "d0d5ea348a181740862dcc8476ff7d00ce44d1c6e36b2145289d97f580f2cd7d"}, + {"mceliece348864", "76351ed2e95a616ca76230bac579cead21012d89181c7398381d0bbe904ab92c"}, + {"mceliece460896f", "552da50baff2666db7b64486c88da4e2b65b25c3d5424be682ca08ffce15a356"}, + {"mceliece460896", "fd785edfe1b721fb24fe159cb9f30cc17daec3d188d59a4bf47a83388880192e"}, + {"mceliece6688128f", "7b64c9882a00bc984e0ca9d3748d0b1bd9215d1bcf921643ee88d28d539303d8"}, + {"mceliece6688128", "3f926328959729c61a11b11ab6326246a42d9b3e76943bba2625342ea33723e2"}, + {"mceliece6960119f", "d6d3e929ff505108fd545d14df5f5bac234cd6d882f0eed3fd628f122e3093c6"}, + {"mceliece6960119", "e4d608fa9795c1a1704709ab9df3940ae1dbf0f708cc0dbdf76c8f3173088e46"}, + {"mceliece8192128f", "3fdb40d47705829c16de4fb5a81f7c095eb4dadc306cfc2c89eff2f483c42402"}, + {"mceliece8192128", "beb28fc0d1555a0028afeb6ebc72b8337f424a826be3d49b47759b8bda50db90"}, } for _, kat := range kats { diff --git a/kem/mceliece/mceliece348864/mceliece.go b/kem/mceliece/mceliece348864/mceliece.go index 7a4cf2777..7a435dc44 100644 --- a/kem/mceliece/mceliece348864/mceliece.go +++ b/kem/mceliece/mceliece348864/mceliece.go @@ -39,7 +39,7 @@ const ( syndBytes = (pkNRows + 7) / 8 PublicKeySize = 261120 PrivateKeySize = 6492 - CiphertextSize = 128 + CiphertextSize = 96 SharedKeySize = 32 seedSize = 32 encapsulationSeedSize = 48 @@ -137,7 +137,7 @@ func deriveKeyPair(entropy []byte) (*PublicKey, *PrivateKey) { // Encryption routine. // Takes a public key `pk` to compute error vector `e` and syndrome `s`. -func encrypt(s, pk, e []byte, rand randFunc) error { +func encrypt(s *[CiphertextSize]byte, pk *[PublicKeySize]byte, e *[sysN / 8]byte, rand randFunc) error { err := genE(e, rand) if err != nil { return err @@ -152,23 +152,20 @@ func encrypt(s, pk, e []byte, rand randFunc) error { // This shared key is returned through parameter `key` whereas // the ciphertext (meant to be used for decapsulation) is returned as `c`. func kemEncapsulate(c *[CiphertextSize]byte, key *[SharedKeySize]byte, pk *[PublicKeySize]byte, rand randFunc) error { - twoE := [1 + sysN/8]byte{2} - e := twoE[1:] - oneEC := [1 + sysN/8 + (syndBytes + 32)]byte{1} - err := encrypt(c[:], pk[:], e, rand) - if err != nil { - return err - } - err = shake256(c[syndBytes:syndBytes+32], twoE[:]) + e := [sysN / 8]byte{} + oneEC := [1 + sysN/8 + syndBytes]byte{1} + + err := encrypt(c, pk, &e, rand) if err != nil { return err } - copy(oneEC[1:1+sysN/8], twoE[1:1+sysN/8]) - copy(oneEC[1+sysN/8:1+sysN/8+syndBytes+32], c[0:syndBytes+32]) + copy(oneEC[1:1+sysN/8], e[:sysN/8]) + copy(oneEC[1+sysN/8:1+sysN/8+syndBytes], c[:syndBytes]) err = shake256(key[0:32], oneEC[:]) if err != nil { return err } + return nil } @@ -177,24 +174,12 @@ func kemEncapsulate(c *[CiphertextSize]byte, key *[SharedKeySize]byte, pk *[Publ // Given a secret key `sk` and a ciphertext `c`, // determine the shared text `key` negotiated by both parties. func kemDecapsulate(key *[SharedKeySize]byte, c *[CiphertextSize]byte, sk *[PrivateKeySize]byte) error { - conf := [32]byte{} - twoE := [1 + sysN/8]byte{2} - e := twoE[1:] - preimage := [1 + sysN/8 + (syndBytes + 32)]byte{} + e := [sysN / 8]byte{} + preimage := [1 + sysN/8 + syndBytes]byte{} s := sk[40+irrBytes+condBytes:] retDecrypt := decrypt((*[sysN / 8]byte)(e[:sysN/8]), sk[40:], (*[syndBytes]byte)(c[:syndBytes])) - err := shake256(conf[0:32], twoE[:]) - if err != nil { - return err - } - - var retConfirm byte - for i := 0; i < 32; i++ { - retConfirm |= conf[i] ^ c[syndBytes+i] - } - - m := retDecrypt | uint16(retConfirm) + m := retDecrypt m -= 1 m >>= 8 @@ -203,13 +188,18 @@ func kemDecapsulate(key *[SharedKeySize]byte, c *[CiphertextSize]byte, sk *[Priv preimage[1+i] = (byte(^m) & s[i]) | (byte(m) & e[i]) } - copy(preimage[1+sysN/8:][:syndBytes+32], c[0:syndBytes+32]) - return shake256(key[0:32], preimage[:]) + copy(preimage[1+sysN/8:][:syndBytes], c[0:syndBytes]) + err := shake256(key[0:32], preimage[:]) + if err != nil { + return err + } + + return nil } // input: public key pk, error vector e // output: syndrome s -func syndrome(s []byte, pk []byte, e []byte) { +func syndrome(s *[CiphertextSize]byte, pk *[PublicKeySize]byte, e *[sysN / 8]byte) { row := [sysN / 8]byte{} var b byte @@ -223,7 +213,7 @@ func syndrome(s []byte, pk []byte, e []byte) { } for j := 0; j < pkRowBytes; j++ { - row[sysN/8-pkRowBytes+j] = pk[j] + row[sysN/8-pkRowBytes+j] = pk[i*pkRowBytes+j] } row[i/8] |= 1 << (i % 8) @@ -239,14 +229,12 @@ func syndrome(s []byte, pk []byte, e []byte) { b &= 1 s[i/8] |= b << (i % 8) - - pk = pk[pkRowBytes:] } } // Generates `e`, a random error vector of weight `t`. // If generation of pseudo-random numbers fails, an error is returned -func genE(e []byte, rand randFunc) error { +func genE(e *[sysN / 8]byte, rand randFunc) error { ind := [sysT]uint16{} val := [sysT]byte{} for { diff --git a/kem/mceliece/mceliece348864f/mceliece.go b/kem/mceliece/mceliece348864f/mceliece.go index 62a58146a..f7b7f5f7d 100644 --- a/kem/mceliece/mceliece348864f/mceliece.go +++ b/kem/mceliece/mceliece348864f/mceliece.go @@ -39,7 +39,7 @@ const ( syndBytes = (pkNRows + 7) / 8 PublicKeySize = 261120 PrivateKeySize = 6492 - CiphertextSize = 128 + CiphertextSize = 96 SharedKeySize = 32 seedSize = 32 encapsulationSeedSize = 48 @@ -137,7 +137,7 @@ func deriveKeyPair(entropy []byte) (*PublicKey, *PrivateKey) { // Encryption routine. // Takes a public key `pk` to compute error vector `e` and syndrome `s`. -func encrypt(s, pk, e []byte, rand randFunc) error { +func encrypt(s *[CiphertextSize]byte, pk *[PublicKeySize]byte, e *[sysN / 8]byte, rand randFunc) error { err := genE(e, rand) if err != nil { return err @@ -152,23 +152,20 @@ func encrypt(s, pk, e []byte, rand randFunc) error { // This shared key is returned through parameter `key` whereas // the ciphertext (meant to be used for decapsulation) is returned as `c`. func kemEncapsulate(c *[CiphertextSize]byte, key *[SharedKeySize]byte, pk *[PublicKeySize]byte, rand randFunc) error { - twoE := [1 + sysN/8]byte{2} - e := twoE[1:] - oneEC := [1 + sysN/8 + (syndBytes + 32)]byte{1} - err := encrypt(c[:], pk[:], e, rand) - if err != nil { - return err - } - err = shake256(c[syndBytes:syndBytes+32], twoE[:]) + e := [sysN / 8]byte{} + oneEC := [1 + sysN/8 + syndBytes]byte{1} + + err := encrypt(c, pk, &e, rand) if err != nil { return err } - copy(oneEC[1:1+sysN/8], twoE[1:1+sysN/8]) - copy(oneEC[1+sysN/8:1+sysN/8+syndBytes+32], c[0:syndBytes+32]) + copy(oneEC[1:1+sysN/8], e[:sysN/8]) + copy(oneEC[1+sysN/8:1+sysN/8+syndBytes], c[:syndBytes]) err = shake256(key[0:32], oneEC[:]) if err != nil { return err } + return nil } @@ -177,24 +174,12 @@ func kemEncapsulate(c *[CiphertextSize]byte, key *[SharedKeySize]byte, pk *[Publ // Given a secret key `sk` and a ciphertext `c`, // determine the shared text `key` negotiated by both parties. func kemDecapsulate(key *[SharedKeySize]byte, c *[CiphertextSize]byte, sk *[PrivateKeySize]byte) error { - conf := [32]byte{} - twoE := [1 + sysN/8]byte{2} - e := twoE[1:] - preimage := [1 + sysN/8 + (syndBytes + 32)]byte{} + e := [sysN / 8]byte{} + preimage := [1 + sysN/8 + syndBytes]byte{} s := sk[40+irrBytes+condBytes:] retDecrypt := decrypt((*[sysN / 8]byte)(e[:sysN/8]), sk[40:], (*[syndBytes]byte)(c[:syndBytes])) - err := shake256(conf[0:32], twoE[:]) - if err != nil { - return err - } - - var retConfirm byte - for i := 0; i < 32; i++ { - retConfirm |= conf[i] ^ c[syndBytes+i] - } - - m := retDecrypt | uint16(retConfirm) + m := retDecrypt m -= 1 m >>= 8 @@ -203,13 +188,18 @@ func kemDecapsulate(key *[SharedKeySize]byte, c *[CiphertextSize]byte, sk *[Priv preimage[1+i] = (byte(^m) & s[i]) | (byte(m) & e[i]) } - copy(preimage[1+sysN/8:][:syndBytes+32], c[0:syndBytes+32]) - return shake256(key[0:32], preimage[:]) + copy(preimage[1+sysN/8:][:syndBytes], c[0:syndBytes]) + err := shake256(key[0:32], preimage[:]) + if err != nil { + return err + } + + return nil } // input: public key pk, error vector e // output: syndrome s -func syndrome(s []byte, pk []byte, e []byte) { +func syndrome(s *[CiphertextSize]byte, pk *[PublicKeySize]byte, e *[sysN / 8]byte) { row := [sysN / 8]byte{} var b byte @@ -223,7 +213,7 @@ func syndrome(s []byte, pk []byte, e []byte) { } for j := 0; j < pkRowBytes; j++ { - row[sysN/8-pkRowBytes+j] = pk[j] + row[sysN/8-pkRowBytes+j] = pk[i*pkRowBytes+j] } row[i/8] |= 1 << (i % 8) @@ -239,14 +229,12 @@ func syndrome(s []byte, pk []byte, e []byte) { b &= 1 s[i/8] |= b << (i % 8) - - pk = pk[pkRowBytes:] } } // Generates `e`, a random error vector of weight `t`. // If generation of pseudo-random numbers fails, an error is returned -func genE(e []byte, rand randFunc) error { +func genE(e *[sysN / 8]byte, rand randFunc) error { ind := [sysT]uint16{} val := [sysT]byte{} for { diff --git a/kem/mceliece/mceliece460896/mceliece.go b/kem/mceliece/mceliece460896/mceliece.go index a71564976..59b1c2ee5 100644 --- a/kem/mceliece/mceliece460896/mceliece.go +++ b/kem/mceliece/mceliece460896/mceliece.go @@ -39,7 +39,7 @@ const ( syndBytes = (pkNRows + 7) / 8 PublicKeySize = 524160 PrivateKeySize = 13608 - CiphertextSize = 188 + CiphertextSize = 156 SharedKeySize = 32 seedSize = 32 encapsulationSeedSize = 48 @@ -137,7 +137,7 @@ func deriveKeyPair(entropy []byte) (*PublicKey, *PrivateKey) { // Encryption routine. // Takes a public key `pk` to compute error vector `e` and syndrome `s`. -func encrypt(s, pk, e []byte, rand randFunc) error { +func encrypt(s *[CiphertextSize]byte, pk *[PublicKeySize]byte, e *[sysN / 8]byte, rand randFunc) error { err := genE(e, rand) if err != nil { return err @@ -152,23 +152,20 @@ func encrypt(s, pk, e []byte, rand randFunc) error { // This shared key is returned through parameter `key` whereas // the ciphertext (meant to be used for decapsulation) is returned as `c`. func kemEncapsulate(c *[CiphertextSize]byte, key *[SharedKeySize]byte, pk *[PublicKeySize]byte, rand randFunc) error { - twoE := [1 + sysN/8]byte{2} - e := twoE[1:] - oneEC := [1 + sysN/8 + (syndBytes + 32)]byte{1} - err := encrypt(c[:], pk[:], e, rand) - if err != nil { - return err - } - err = shake256(c[syndBytes:syndBytes+32], twoE[:]) + e := [sysN / 8]byte{} + oneEC := [1 + sysN/8 + syndBytes]byte{1} + + err := encrypt(c, pk, &e, rand) if err != nil { return err } - copy(oneEC[1:1+sysN/8], twoE[1:1+sysN/8]) - copy(oneEC[1+sysN/8:1+sysN/8+syndBytes+32], c[0:syndBytes+32]) + copy(oneEC[1:1+sysN/8], e[:sysN/8]) + copy(oneEC[1+sysN/8:1+sysN/8+syndBytes], c[:syndBytes]) err = shake256(key[0:32], oneEC[:]) if err != nil { return err } + return nil } @@ -177,24 +174,12 @@ func kemEncapsulate(c *[CiphertextSize]byte, key *[SharedKeySize]byte, pk *[Publ // Given a secret key `sk` and a ciphertext `c`, // determine the shared text `key` negotiated by both parties. func kemDecapsulate(key *[SharedKeySize]byte, c *[CiphertextSize]byte, sk *[PrivateKeySize]byte) error { - conf := [32]byte{} - twoE := [1 + sysN/8]byte{2} - e := twoE[1:] - preimage := [1 + sysN/8 + (syndBytes + 32)]byte{} + e := [sysN / 8]byte{} + preimage := [1 + sysN/8 + syndBytes]byte{} s := sk[40+irrBytes+condBytes:] retDecrypt := decrypt((*[sysN / 8]byte)(e[:sysN/8]), sk[40:], (*[syndBytes]byte)(c[:syndBytes])) - err := shake256(conf[0:32], twoE[:]) - if err != nil { - return err - } - - var retConfirm byte - for i := 0; i < 32; i++ { - retConfirm |= conf[i] ^ c[syndBytes+i] - } - - m := retDecrypt | uint16(retConfirm) + m := retDecrypt m -= 1 m >>= 8 @@ -203,13 +188,18 @@ func kemDecapsulate(key *[SharedKeySize]byte, c *[CiphertextSize]byte, sk *[Priv preimage[1+i] = (byte(^m) & s[i]) | (byte(m) & e[i]) } - copy(preimage[1+sysN/8:][:syndBytes+32], c[0:syndBytes+32]) - return shake256(key[0:32], preimage[:]) + copy(preimage[1+sysN/8:][:syndBytes], c[0:syndBytes]) + err := shake256(key[0:32], preimage[:]) + if err != nil { + return err + } + + return nil } // input: public key pk, error vector e // output: syndrome s -func syndrome(s []byte, pk []byte, e []byte) { +func syndrome(s *[CiphertextSize]byte, pk *[PublicKeySize]byte, e *[sysN / 8]byte) { row := [sysN / 8]byte{} var b byte @@ -223,7 +213,7 @@ func syndrome(s []byte, pk []byte, e []byte) { } for j := 0; j < pkRowBytes; j++ { - row[sysN/8-pkRowBytes+j] = pk[j] + row[sysN/8-pkRowBytes+j] = pk[i*pkRowBytes+j] } row[i/8] |= 1 << (i % 8) @@ -239,14 +229,12 @@ func syndrome(s []byte, pk []byte, e []byte) { b &= 1 s[i/8] |= b << (i % 8) - - pk = pk[pkRowBytes:] } } // Generates `e`, a random error vector of weight `t`. // If generation of pseudo-random numbers fails, an error is returned -func genE(e []byte, rand randFunc) error { +func genE(e *[sysN / 8]byte, rand randFunc) error { ind := [sysT]uint16{} val := [sysT]byte{} for { diff --git a/kem/mceliece/mceliece460896f/mceliece.go b/kem/mceliece/mceliece460896f/mceliece.go index 7aa9e4bbe..388b0bd6d 100644 --- a/kem/mceliece/mceliece460896f/mceliece.go +++ b/kem/mceliece/mceliece460896f/mceliece.go @@ -39,7 +39,7 @@ const ( syndBytes = (pkNRows + 7) / 8 PublicKeySize = 524160 PrivateKeySize = 13608 - CiphertextSize = 188 + CiphertextSize = 156 SharedKeySize = 32 seedSize = 32 encapsulationSeedSize = 48 @@ -137,7 +137,7 @@ func deriveKeyPair(entropy []byte) (*PublicKey, *PrivateKey) { // Encryption routine. // Takes a public key `pk` to compute error vector `e` and syndrome `s`. -func encrypt(s, pk, e []byte, rand randFunc) error { +func encrypt(s *[CiphertextSize]byte, pk *[PublicKeySize]byte, e *[sysN / 8]byte, rand randFunc) error { err := genE(e, rand) if err != nil { return err @@ -152,23 +152,20 @@ func encrypt(s, pk, e []byte, rand randFunc) error { // This shared key is returned through parameter `key` whereas // the ciphertext (meant to be used for decapsulation) is returned as `c`. func kemEncapsulate(c *[CiphertextSize]byte, key *[SharedKeySize]byte, pk *[PublicKeySize]byte, rand randFunc) error { - twoE := [1 + sysN/8]byte{2} - e := twoE[1:] - oneEC := [1 + sysN/8 + (syndBytes + 32)]byte{1} - err := encrypt(c[:], pk[:], e, rand) - if err != nil { - return err - } - err = shake256(c[syndBytes:syndBytes+32], twoE[:]) + e := [sysN / 8]byte{} + oneEC := [1 + sysN/8 + syndBytes]byte{1} + + err := encrypt(c, pk, &e, rand) if err != nil { return err } - copy(oneEC[1:1+sysN/8], twoE[1:1+sysN/8]) - copy(oneEC[1+sysN/8:1+sysN/8+syndBytes+32], c[0:syndBytes+32]) + copy(oneEC[1:1+sysN/8], e[:sysN/8]) + copy(oneEC[1+sysN/8:1+sysN/8+syndBytes], c[:syndBytes]) err = shake256(key[0:32], oneEC[:]) if err != nil { return err } + return nil } @@ -177,24 +174,12 @@ func kemEncapsulate(c *[CiphertextSize]byte, key *[SharedKeySize]byte, pk *[Publ // Given a secret key `sk` and a ciphertext `c`, // determine the shared text `key` negotiated by both parties. func kemDecapsulate(key *[SharedKeySize]byte, c *[CiphertextSize]byte, sk *[PrivateKeySize]byte) error { - conf := [32]byte{} - twoE := [1 + sysN/8]byte{2} - e := twoE[1:] - preimage := [1 + sysN/8 + (syndBytes + 32)]byte{} + e := [sysN / 8]byte{} + preimage := [1 + sysN/8 + syndBytes]byte{} s := sk[40+irrBytes+condBytes:] retDecrypt := decrypt((*[sysN / 8]byte)(e[:sysN/8]), sk[40:], (*[syndBytes]byte)(c[:syndBytes])) - err := shake256(conf[0:32], twoE[:]) - if err != nil { - return err - } - - var retConfirm byte - for i := 0; i < 32; i++ { - retConfirm |= conf[i] ^ c[syndBytes+i] - } - - m := retDecrypt | uint16(retConfirm) + m := retDecrypt m -= 1 m >>= 8 @@ -203,13 +188,18 @@ func kemDecapsulate(key *[SharedKeySize]byte, c *[CiphertextSize]byte, sk *[Priv preimage[1+i] = (byte(^m) & s[i]) | (byte(m) & e[i]) } - copy(preimage[1+sysN/8:][:syndBytes+32], c[0:syndBytes+32]) - return shake256(key[0:32], preimage[:]) + copy(preimage[1+sysN/8:][:syndBytes], c[0:syndBytes]) + err := shake256(key[0:32], preimage[:]) + if err != nil { + return err + } + + return nil } // input: public key pk, error vector e // output: syndrome s -func syndrome(s []byte, pk []byte, e []byte) { +func syndrome(s *[CiphertextSize]byte, pk *[PublicKeySize]byte, e *[sysN / 8]byte) { row := [sysN / 8]byte{} var b byte @@ -223,7 +213,7 @@ func syndrome(s []byte, pk []byte, e []byte) { } for j := 0; j < pkRowBytes; j++ { - row[sysN/8-pkRowBytes+j] = pk[j] + row[sysN/8-pkRowBytes+j] = pk[i*pkRowBytes+j] } row[i/8] |= 1 << (i % 8) @@ -239,14 +229,12 @@ func syndrome(s []byte, pk []byte, e []byte) { b &= 1 s[i/8] |= b << (i % 8) - - pk = pk[pkRowBytes:] } } // Generates `e`, a random error vector of weight `t`. // If generation of pseudo-random numbers fails, an error is returned -func genE(e []byte, rand randFunc) error { +func genE(e *[sysN / 8]byte, rand randFunc) error { ind := [sysT]uint16{} val := [sysT]byte{} for { diff --git a/kem/mceliece/mceliece6688128/mceliece.go b/kem/mceliece/mceliece6688128/mceliece.go index a37bc08b8..564f8f4aa 100644 --- a/kem/mceliece/mceliece6688128/mceliece.go +++ b/kem/mceliece/mceliece6688128/mceliece.go @@ -39,7 +39,7 @@ const ( syndBytes = (pkNRows + 7) / 8 PublicKeySize = 1044992 PrivateKeySize = 13932 - CiphertextSize = 240 + CiphertextSize = 208 SharedKeySize = 32 seedSize = 32 encapsulationSeedSize = 48 @@ -137,7 +137,7 @@ func deriveKeyPair(entropy []byte) (*PublicKey, *PrivateKey) { // Encryption routine. // Takes a public key `pk` to compute error vector `e` and syndrome `s`. -func encrypt(s, pk, e []byte, rand randFunc) error { +func encrypt(s *[CiphertextSize]byte, pk *[PublicKeySize]byte, e *[sysN / 8]byte, rand randFunc) error { err := genE(e, rand) if err != nil { return err @@ -152,23 +152,20 @@ func encrypt(s, pk, e []byte, rand randFunc) error { // This shared key is returned through parameter `key` whereas // the ciphertext (meant to be used for decapsulation) is returned as `c`. func kemEncapsulate(c *[CiphertextSize]byte, key *[SharedKeySize]byte, pk *[PublicKeySize]byte, rand randFunc) error { - twoE := [1 + sysN/8]byte{2} - e := twoE[1:] - oneEC := [1 + sysN/8 + (syndBytes + 32)]byte{1} - err := encrypt(c[:], pk[:], e, rand) - if err != nil { - return err - } - err = shake256(c[syndBytes:syndBytes+32], twoE[:]) + e := [sysN / 8]byte{} + oneEC := [1 + sysN/8 + syndBytes]byte{1} + + err := encrypt(c, pk, &e, rand) if err != nil { return err } - copy(oneEC[1:1+sysN/8], twoE[1:1+sysN/8]) - copy(oneEC[1+sysN/8:1+sysN/8+syndBytes+32], c[0:syndBytes+32]) + copy(oneEC[1:1+sysN/8], e[:sysN/8]) + copy(oneEC[1+sysN/8:1+sysN/8+syndBytes], c[:syndBytes]) err = shake256(key[0:32], oneEC[:]) if err != nil { return err } + return nil } @@ -177,24 +174,12 @@ func kemEncapsulate(c *[CiphertextSize]byte, key *[SharedKeySize]byte, pk *[Publ // Given a secret key `sk` and a ciphertext `c`, // determine the shared text `key` negotiated by both parties. func kemDecapsulate(key *[SharedKeySize]byte, c *[CiphertextSize]byte, sk *[PrivateKeySize]byte) error { - conf := [32]byte{} - twoE := [1 + sysN/8]byte{2} - e := twoE[1:] - preimage := [1 + sysN/8 + (syndBytes + 32)]byte{} + e := [sysN / 8]byte{} + preimage := [1 + sysN/8 + syndBytes]byte{} s := sk[40+irrBytes+condBytes:] retDecrypt := decrypt((*[sysN / 8]byte)(e[:sysN/8]), sk[40:], (*[syndBytes]byte)(c[:syndBytes])) - err := shake256(conf[0:32], twoE[:]) - if err != nil { - return err - } - - var retConfirm byte - for i := 0; i < 32; i++ { - retConfirm |= conf[i] ^ c[syndBytes+i] - } - - m := retDecrypt | uint16(retConfirm) + m := retDecrypt m -= 1 m >>= 8 @@ -203,13 +188,18 @@ func kemDecapsulate(key *[SharedKeySize]byte, c *[CiphertextSize]byte, sk *[Priv preimage[1+i] = (byte(^m) & s[i]) | (byte(m) & e[i]) } - copy(preimage[1+sysN/8:][:syndBytes+32], c[0:syndBytes+32]) - return shake256(key[0:32], preimage[:]) + copy(preimage[1+sysN/8:][:syndBytes], c[0:syndBytes]) + err := shake256(key[0:32], preimage[:]) + if err != nil { + return err + } + + return nil } // input: public key pk, error vector e // output: syndrome s -func syndrome(s []byte, pk []byte, e []byte) { +func syndrome(s *[CiphertextSize]byte, pk *[PublicKeySize]byte, e *[sysN / 8]byte) { row := [sysN / 8]byte{} var b byte @@ -223,7 +213,7 @@ func syndrome(s []byte, pk []byte, e []byte) { } for j := 0; j < pkRowBytes; j++ { - row[sysN/8-pkRowBytes+j] = pk[j] + row[sysN/8-pkRowBytes+j] = pk[i*pkRowBytes+j] } row[i/8] |= 1 << (i % 8) @@ -239,14 +229,12 @@ func syndrome(s []byte, pk []byte, e []byte) { b &= 1 s[i/8] |= b << (i % 8) - - pk = pk[pkRowBytes:] } } // Generates `e`, a random error vector of weight `t`. // If generation of pseudo-random numbers fails, an error is returned -func genE(e []byte, rand randFunc) error { +func genE(e *[sysN / 8]byte, rand randFunc) error { ind := [sysT]uint16{} val := [sysT]byte{} for { diff --git a/kem/mceliece/mceliece6688128f/mceliece.go b/kem/mceliece/mceliece6688128f/mceliece.go index 3cfd2aa8e..4d8c0fe9f 100644 --- a/kem/mceliece/mceliece6688128f/mceliece.go +++ b/kem/mceliece/mceliece6688128f/mceliece.go @@ -39,7 +39,7 @@ const ( syndBytes = (pkNRows + 7) / 8 PublicKeySize = 1044992 PrivateKeySize = 13932 - CiphertextSize = 240 + CiphertextSize = 208 SharedKeySize = 32 seedSize = 32 encapsulationSeedSize = 48 @@ -137,7 +137,7 @@ func deriveKeyPair(entropy []byte) (*PublicKey, *PrivateKey) { // Encryption routine. // Takes a public key `pk` to compute error vector `e` and syndrome `s`. -func encrypt(s, pk, e []byte, rand randFunc) error { +func encrypt(s *[CiphertextSize]byte, pk *[PublicKeySize]byte, e *[sysN / 8]byte, rand randFunc) error { err := genE(e, rand) if err != nil { return err @@ -152,23 +152,20 @@ func encrypt(s, pk, e []byte, rand randFunc) error { // This shared key is returned through parameter `key` whereas // the ciphertext (meant to be used for decapsulation) is returned as `c`. func kemEncapsulate(c *[CiphertextSize]byte, key *[SharedKeySize]byte, pk *[PublicKeySize]byte, rand randFunc) error { - twoE := [1 + sysN/8]byte{2} - e := twoE[1:] - oneEC := [1 + sysN/8 + (syndBytes + 32)]byte{1} - err := encrypt(c[:], pk[:], e, rand) - if err != nil { - return err - } - err = shake256(c[syndBytes:syndBytes+32], twoE[:]) + e := [sysN / 8]byte{} + oneEC := [1 + sysN/8 + syndBytes]byte{1} + + err := encrypt(c, pk, &e, rand) if err != nil { return err } - copy(oneEC[1:1+sysN/8], twoE[1:1+sysN/8]) - copy(oneEC[1+sysN/8:1+sysN/8+syndBytes+32], c[0:syndBytes+32]) + copy(oneEC[1:1+sysN/8], e[:sysN/8]) + copy(oneEC[1+sysN/8:1+sysN/8+syndBytes], c[:syndBytes]) err = shake256(key[0:32], oneEC[:]) if err != nil { return err } + return nil } @@ -177,24 +174,12 @@ func kemEncapsulate(c *[CiphertextSize]byte, key *[SharedKeySize]byte, pk *[Publ // Given a secret key `sk` and a ciphertext `c`, // determine the shared text `key` negotiated by both parties. func kemDecapsulate(key *[SharedKeySize]byte, c *[CiphertextSize]byte, sk *[PrivateKeySize]byte) error { - conf := [32]byte{} - twoE := [1 + sysN/8]byte{2} - e := twoE[1:] - preimage := [1 + sysN/8 + (syndBytes + 32)]byte{} + e := [sysN / 8]byte{} + preimage := [1 + sysN/8 + syndBytes]byte{} s := sk[40+irrBytes+condBytes:] retDecrypt := decrypt((*[sysN / 8]byte)(e[:sysN/8]), sk[40:], (*[syndBytes]byte)(c[:syndBytes])) - err := shake256(conf[0:32], twoE[:]) - if err != nil { - return err - } - - var retConfirm byte - for i := 0; i < 32; i++ { - retConfirm |= conf[i] ^ c[syndBytes+i] - } - - m := retDecrypt | uint16(retConfirm) + m := retDecrypt m -= 1 m >>= 8 @@ -203,13 +188,18 @@ func kemDecapsulate(key *[SharedKeySize]byte, c *[CiphertextSize]byte, sk *[Priv preimage[1+i] = (byte(^m) & s[i]) | (byte(m) & e[i]) } - copy(preimage[1+sysN/8:][:syndBytes+32], c[0:syndBytes+32]) - return shake256(key[0:32], preimage[:]) + copy(preimage[1+sysN/8:][:syndBytes], c[0:syndBytes]) + err := shake256(key[0:32], preimage[:]) + if err != nil { + return err + } + + return nil } // input: public key pk, error vector e // output: syndrome s -func syndrome(s []byte, pk []byte, e []byte) { +func syndrome(s *[CiphertextSize]byte, pk *[PublicKeySize]byte, e *[sysN / 8]byte) { row := [sysN / 8]byte{} var b byte @@ -223,7 +213,7 @@ func syndrome(s []byte, pk []byte, e []byte) { } for j := 0; j < pkRowBytes; j++ { - row[sysN/8-pkRowBytes+j] = pk[j] + row[sysN/8-pkRowBytes+j] = pk[i*pkRowBytes+j] } row[i/8] |= 1 << (i % 8) @@ -239,14 +229,12 @@ func syndrome(s []byte, pk []byte, e []byte) { b &= 1 s[i/8] |= b << (i % 8) - - pk = pk[pkRowBytes:] } } // Generates `e`, a random error vector of weight `t`. // If generation of pseudo-random numbers fails, an error is returned -func genE(e []byte, rand randFunc) error { +func genE(e *[sysN / 8]byte, rand randFunc) error { ind := [sysT]uint16{} val := [sysT]byte{} for { diff --git a/kem/mceliece/mceliece6960119/mceliece.go b/kem/mceliece/mceliece6960119/mceliece.go index a99d4080d..f689e971c 100644 --- a/kem/mceliece/mceliece6960119/mceliece.go +++ b/kem/mceliece/mceliece6960119/mceliece.go @@ -16,6 +16,7 @@ package mceliece6960119 import ( "bytes" cryptoRand "crypto/rand" + "fmt" "io" "github.com/cloudflare/circl/internal/nist" @@ -39,7 +40,7 @@ const ( syndBytes = (pkNRows + 7) / 8 PublicKeySize = 1047319 PrivateKeySize = 13948 - CiphertextSize = 226 + CiphertextSize = 194 SharedKeySize = 32 seedSize = 32 encapsulationSeedSize = 48 @@ -137,7 +138,7 @@ func deriveKeyPair(entropy []byte) (*PublicKey, *PrivateKey) { // Encryption routine. // Takes a public key `pk` to compute error vector `e` and syndrome `s`. -func encrypt(s, pk, e []byte, rand randFunc) error { +func encrypt(s *[CiphertextSize]byte, pk *[PublicKeySize]byte, e *[sysN / 8]byte, rand randFunc) error { err := genE(e, rand) if err != nil { return err @@ -146,9 +147,84 @@ func encrypt(s, pk, e []byte, rand randFunc) error { return nil } +// KEM Encapsulation. +// +// Given a public key `pk`, sample a shared key. +// This shared key is returned through parameter `key` whereas +// the ciphertext (meant to be used for decapsulation) is returned as `c`. +func kemEncapsulate(c *[CiphertextSize]byte, key *[SharedKeySize]byte, pk *[PublicKeySize]byte, rand randFunc) error { + e := [sysN / 8]byte{} + oneEC := [1 + sysN/8 + syndBytes]byte{1} + + paddingOk := checkPkPadding(pk) + + err := encrypt(c, pk, &e, rand) + if err != nil { + return err + } + copy(oneEC[1:1+sysN/8], e[:sysN/8]) + copy(oneEC[1+sysN/8:1+sysN/8+syndBytes], c[:syndBytes]) + err = shake256(key[0:32], oneEC[:]) + if err != nil { + return err + } + + mask := paddingOk ^ 0xFF + for i := 0; i < syndBytes; i++ { + c[i] &= mask + } + for i := 0; i < 32; i++ { + key[i] &= mask + } + + if paddingOk == 0 { + return nil + } + return fmt.Errorf("public key padding error %d", paddingOk) +} + +// KEM Decapsulation. +// +// Given a secret key `sk` and a ciphertext `c`, +// determine the shared text `key` negotiated by both parties. +func kemDecapsulate(key *[SharedKeySize]byte, c *[CiphertextSize]byte, sk *[PrivateKeySize]byte) error { + e := [sysN / 8]byte{} + preimage := [1 + sysN/8 + syndBytes]byte{} + s := sk[40+irrBytes+condBytes:] + + paddingOk := checkCPadding(c) + + retDecrypt := decrypt((*[sysN / 8]byte)(e[:sysN/8]), sk[40:], (*[syndBytes]byte)(c[:syndBytes])) + m := retDecrypt + m -= 1 + m >>= 8 + + preimage[0] = byte(m & 1) + for i := 0; i < sysN/8; i++ { + preimage[1+i] = (byte(^m) & s[i]) | (byte(m) & e[i]) + } + + copy(preimage[1+sysN/8:][:syndBytes], c[0:syndBytes]) + err := shake256(key[0:32], preimage[:]) + if err != nil { + return err + } + + // clear outputs (set to all 1's) if padding bits are not all zero + mask := paddingOk + for i := 0; i < 32; i++ { + key[i] |= mask + } + + if paddingOk == 0 { + return nil + } + return fmt.Errorf("public key padding error %d", paddingOk) +} + // Generates `e`, a random error vector of weight `t`. // If generation of pseudo-random numbers fails, an error is returned -func genE(e []byte, rand randFunc) error { +func genE(e *[sysN / 8]byte, rand randFunc) error { ind := [sysT]uint16{} val := [sysT]byte{} for { diff --git a/kem/mceliece/mceliece6960119/operations.go b/kem/mceliece/mceliece6960119/operations.go index 3bcd1c745..77dbd4e8f 100644 --- a/kem/mceliece/mceliece6960119/operations.go +++ b/kem/mceliece/mceliece6960119/operations.go @@ -2,8 +2,6 @@ package mceliece6960119 -import "fmt" - // This function determines (in a constant-time manner) whether the padding bits of `pk` are all zero. func checkPkPadding(pk *[PublicKeySize]byte) byte { b := byte(0) @@ -17,7 +15,7 @@ func checkPkPadding(pk *[PublicKeySize]byte) byte { } // This function determines (in a constant-time manner) whether the padding bits of `c` are all zero. -func checkCPadding(c []byte) byte { +func checkCPadding(c *[CiphertextSize]byte) byte { b := c[syndBytes-1] >> (pkNRows % 8) b -= 1 b >>= 7 @@ -26,9 +24,8 @@ func checkCPadding(c []byte) byte { // input: public key pk, error vector e // output: syndrome s -func syndrome(s []byte, pk []byte, e []byte) { +func syndrome(s *[CiphertextSize]byte, pk *[PublicKeySize]byte, e *[sysN / 8]byte) { row := [sysN / 8]byte{} - pkSegment := pk tail := pkNRows % 8 for i := 0; i < syndBytes; i++ { s[i] = 0 @@ -38,7 +35,7 @@ func syndrome(s []byte, pk []byte, e []byte) { row[j] = 0 } for j := 0; j < pkRowBytes; j++ { - row[sysN/8-pkRowBytes+j] = pkSegment[j] + row[sysN/8-pkRowBytes+j] = pk[i*pkRowBytes+j] } for j := sysN/8 - 1; j >= sysN/8-pkRowBytes; j-- { row[j] = (row[j] << tail) | (row[j-1] >> (8 - tail)) @@ -56,94 +53,5 @@ func syndrome(s []byte, pk []byte, e []byte) { b &= 1 s[i/8] |= b << (i % 8) - - pkSegment = pkSegment[pkRowBytes:] - } -} - -// KEM Encapsulation. -// -// Given a public key `pk`, sample a shared key. -// This shared key is returned through parameter `key` whereas -// the ciphertext (meant to be used for decapsulation) is returned as `c`. -func kemEncapsulate(c *[CiphertextSize]byte, key *[SharedKeySize]byte, pk *[PublicKeySize]byte, rand randFunc) error { - twoE := [1 + sysN/8]byte{2} - oneEC := [1 + sysN/8 + (syndBytes + 32)]byte{1} - paddingOk := checkPkPadding(pk) - err := encrypt(c[:], pk[:], twoE[1:1+sysN/8], rand) - if err != nil { - return err - } - err = shake256(c[syndBytes:syndBytes+32], twoE[:]) - if err != nil { - return err - } - copy(oneEC[1:1+(sysN/8)], twoE[1:(sysN/8)+1]) - copy(oneEC[1+(sysN/8):1+(sysN/8)+syndBytes+32], c[0:syndBytes+32]) - err = shake256(key[0:32], oneEC[:]) - if err != nil { - return err - } - - mask := paddingOk ^ 0xFF - for i := 0; i < syndBytes+32; i++ { - c[i] &= mask - } - for i := 0; i < 32; i++ { - key[i] &= mask - } - - if paddingOk == 0 { - return nil - } - return fmt.Errorf("public key padding error %d", paddingOk) -} - -// KEM Encapsulation. -// -// Given a public key `pk`, sample a shared key. -// This shared key is returned through parameter `key` whereas -// the ciphertext (meant to be used for decapsulation) is returned as `c`. -func kemDecapsulate(key *[SharedKeySize]byte, c *[CiphertextSize]byte, sk *[PrivateKeySize]byte) error { - conf := [32]byte{} - twoE := [1 + sysN/8]byte{2} - e := twoE[1:] - preimage := [1 + sysN/8 + (syndBytes + 32)]byte{} - s := sk[40+irrBytes+condBytes:] - - paddingOk := checkCPadding(c[:]) - retDecrypt := decrypt((*[sysN / 8]byte)(e[:sysN/8]), sk[40:], (*[syndBytes]byte)(c[:syndBytes])) - err := shake256(conf[0:32], twoE[:]) - if err != nil { - return err - } - - var retConfirm byte - for i := 0; i < 32; i++ { - retConfirm |= conf[i] ^ c[syndBytes+i] - } - - m := retDecrypt | uint16(retConfirm) - m -= 1 - m >>= 8 - - preimage[0] = byte(m & 1) - for i := 0; i < sysN/8; i++ { - preimage[1+i] = (byte(^m) & s[i]) | (byte(m) & twoE[1+i]) - } - copy(preimage[1+(sysN/8):][0:syndBytes+32], c[0:syndBytes+32]) - err = shake256(key[0:32], preimage[:]) - if err != nil { - return err - } - - mask := paddingOk - for i := 0; i < 32; i++ { - key[i] |= mask - } - - if paddingOk == 0 { - return nil } - return fmt.Errorf("public key padding error %d", paddingOk) } diff --git a/kem/mceliece/mceliece6960119f/mceliece.go b/kem/mceliece/mceliece6960119f/mceliece.go index eb5e51048..21256b7e0 100644 --- a/kem/mceliece/mceliece6960119f/mceliece.go +++ b/kem/mceliece/mceliece6960119f/mceliece.go @@ -16,6 +16,7 @@ package mceliece6960119f import ( "bytes" cryptoRand "crypto/rand" + "fmt" "io" "github.com/cloudflare/circl/internal/nist" @@ -39,7 +40,7 @@ const ( syndBytes = (pkNRows + 7) / 8 PublicKeySize = 1047319 PrivateKeySize = 13948 - CiphertextSize = 226 + CiphertextSize = 194 SharedKeySize = 32 seedSize = 32 encapsulationSeedSize = 48 @@ -137,7 +138,7 @@ func deriveKeyPair(entropy []byte) (*PublicKey, *PrivateKey) { // Encryption routine. // Takes a public key `pk` to compute error vector `e` and syndrome `s`. -func encrypt(s, pk, e []byte, rand randFunc) error { +func encrypt(s *[CiphertextSize]byte, pk *[PublicKeySize]byte, e *[sysN / 8]byte, rand randFunc) error { err := genE(e, rand) if err != nil { return err @@ -146,9 +147,84 @@ func encrypt(s, pk, e []byte, rand randFunc) error { return nil } +// KEM Encapsulation. +// +// Given a public key `pk`, sample a shared key. +// This shared key is returned through parameter `key` whereas +// the ciphertext (meant to be used for decapsulation) is returned as `c`. +func kemEncapsulate(c *[CiphertextSize]byte, key *[SharedKeySize]byte, pk *[PublicKeySize]byte, rand randFunc) error { + e := [sysN / 8]byte{} + oneEC := [1 + sysN/8 + syndBytes]byte{1} + + paddingOk := checkPkPadding(pk) + + err := encrypt(c, pk, &e, rand) + if err != nil { + return err + } + copy(oneEC[1:1+sysN/8], e[:sysN/8]) + copy(oneEC[1+sysN/8:1+sysN/8+syndBytes], c[:syndBytes]) + err = shake256(key[0:32], oneEC[:]) + if err != nil { + return err + } + + mask := paddingOk ^ 0xFF + for i := 0; i < syndBytes; i++ { + c[i] &= mask + } + for i := 0; i < 32; i++ { + key[i] &= mask + } + + if paddingOk == 0 { + return nil + } + return fmt.Errorf("public key padding error %d", paddingOk) +} + +// KEM Decapsulation. +// +// Given a secret key `sk` and a ciphertext `c`, +// determine the shared text `key` negotiated by both parties. +func kemDecapsulate(key *[SharedKeySize]byte, c *[CiphertextSize]byte, sk *[PrivateKeySize]byte) error { + e := [sysN / 8]byte{} + preimage := [1 + sysN/8 + syndBytes]byte{} + s := sk[40+irrBytes+condBytes:] + + paddingOk := checkCPadding(c) + + retDecrypt := decrypt((*[sysN / 8]byte)(e[:sysN/8]), sk[40:], (*[syndBytes]byte)(c[:syndBytes])) + m := retDecrypt + m -= 1 + m >>= 8 + + preimage[0] = byte(m & 1) + for i := 0; i < sysN/8; i++ { + preimage[1+i] = (byte(^m) & s[i]) | (byte(m) & e[i]) + } + + copy(preimage[1+sysN/8:][:syndBytes], c[0:syndBytes]) + err := shake256(key[0:32], preimage[:]) + if err != nil { + return err + } + + // clear outputs (set to all 1's) if padding bits are not all zero + mask := paddingOk + for i := 0; i < 32; i++ { + key[i] |= mask + } + + if paddingOk == 0 { + return nil + } + return fmt.Errorf("public key padding error %d", paddingOk) +} + // Generates `e`, a random error vector of weight `t`. // If generation of pseudo-random numbers fails, an error is returned -func genE(e []byte, rand randFunc) error { +func genE(e *[sysN / 8]byte, rand randFunc) error { ind := [sysT]uint16{} val := [sysT]byte{} for { diff --git a/kem/mceliece/mceliece6960119f/operations.go b/kem/mceliece/mceliece6960119f/operations.go index b9def2700..42b4d0df1 100644 --- a/kem/mceliece/mceliece6960119f/operations.go +++ b/kem/mceliece/mceliece6960119f/operations.go @@ -2,8 +2,6 @@ package mceliece6960119f -import "fmt" - // This function determines (in a constant-time manner) whether the padding bits of `pk` are all zero. func checkPkPadding(pk *[PublicKeySize]byte) byte { b := byte(0) @@ -17,7 +15,7 @@ func checkPkPadding(pk *[PublicKeySize]byte) byte { } // This function determines (in a constant-time manner) whether the padding bits of `c` are all zero. -func checkCPadding(c []byte) byte { +func checkCPadding(c *[CiphertextSize]byte) byte { b := c[syndBytes-1] >> (pkNRows % 8) b -= 1 b >>= 7 @@ -26,9 +24,8 @@ func checkCPadding(c []byte) byte { // input: public key pk, error vector e // output: syndrome s -func syndrome(s []byte, pk []byte, e []byte) { +func syndrome(s *[CiphertextSize]byte, pk *[PublicKeySize]byte, e *[sysN / 8]byte) { row := [sysN / 8]byte{} - pkSegment := pk tail := pkNRows % 8 for i := 0; i < syndBytes; i++ { s[i] = 0 @@ -38,7 +35,7 @@ func syndrome(s []byte, pk []byte, e []byte) { row[j] = 0 } for j := 0; j < pkRowBytes; j++ { - row[sysN/8-pkRowBytes+j] = pkSegment[j] + row[sysN/8-pkRowBytes+j] = pk[i*pkRowBytes+j] } for j := sysN/8 - 1; j >= sysN/8-pkRowBytes; j-- { row[j] = (row[j] << tail) | (row[j-1] >> (8 - tail)) @@ -56,94 +53,5 @@ func syndrome(s []byte, pk []byte, e []byte) { b &= 1 s[i/8] |= b << (i % 8) - - pkSegment = pkSegment[pkRowBytes:] - } -} - -// KEM Encapsulation. -// -// Given a public key `pk`, sample a shared key. -// This shared key is returned through parameter `key` whereas -// the ciphertext (meant to be used for decapsulation) is returned as `c`. -func kemEncapsulate(c *[CiphertextSize]byte, key *[SharedKeySize]byte, pk *[PublicKeySize]byte, rand randFunc) error { - twoE := [1 + sysN/8]byte{2} - oneEC := [1 + sysN/8 + (syndBytes + 32)]byte{1} - paddingOk := checkPkPadding(pk) - err := encrypt(c[:], pk[:], twoE[1:1+sysN/8], rand) - if err != nil { - return err - } - err = shake256(c[syndBytes:syndBytes+32], twoE[:]) - if err != nil { - return err - } - copy(oneEC[1:1+(sysN/8)], twoE[1:(sysN/8)+1]) - copy(oneEC[1+(sysN/8):1+(sysN/8)+syndBytes+32], c[0:syndBytes+32]) - err = shake256(key[0:32], oneEC[:]) - if err != nil { - return err - } - - mask := paddingOk ^ 0xFF - for i := 0; i < syndBytes+32; i++ { - c[i] &= mask - } - for i := 0; i < 32; i++ { - key[i] &= mask - } - - if paddingOk == 0 { - return nil - } - return fmt.Errorf("public key padding error %d", paddingOk) -} - -// KEM Encapsulation. -// -// Given a public key `pk`, sample a shared key. -// This shared key is returned through parameter `key` whereas -// the ciphertext (meant to be used for decapsulation) is returned as `c`. -func kemDecapsulate(key *[SharedKeySize]byte, c *[CiphertextSize]byte, sk *[PrivateKeySize]byte) error { - conf := [32]byte{} - twoE := [1 + sysN/8]byte{2} - e := twoE[1:] - preimage := [1 + sysN/8 + (syndBytes + 32)]byte{} - s := sk[40+irrBytes+condBytes:] - - paddingOk := checkCPadding(c[:]) - retDecrypt := decrypt((*[sysN / 8]byte)(e[:sysN/8]), sk[40:], (*[syndBytes]byte)(c[:syndBytes])) - err := shake256(conf[0:32], twoE[:]) - if err != nil { - return err - } - - var retConfirm byte - for i := 0; i < 32; i++ { - retConfirm |= conf[i] ^ c[syndBytes+i] - } - - m := retDecrypt | uint16(retConfirm) - m -= 1 - m >>= 8 - - preimage[0] = byte(m & 1) - for i := 0; i < sysN/8; i++ { - preimage[1+i] = (byte(^m) & s[i]) | (byte(m) & twoE[1+i]) - } - copy(preimage[1+(sysN/8):][0:syndBytes+32], c[0:syndBytes+32]) - err = shake256(key[0:32], preimage[:]) - if err != nil { - return err - } - - mask := paddingOk - for i := 0; i < 32; i++ { - key[i] |= mask - } - - if paddingOk == 0 { - return nil } - return fmt.Errorf("public key padding error %d", paddingOk) } diff --git a/kem/mceliece/mceliece8192128/mceliece.go b/kem/mceliece/mceliece8192128/mceliece.go index f7d5b2147..19835f31e 100644 --- a/kem/mceliece/mceliece8192128/mceliece.go +++ b/kem/mceliece/mceliece8192128/mceliece.go @@ -39,7 +39,7 @@ const ( syndBytes = (pkNRows + 7) / 8 PublicKeySize = 1357824 PrivateKeySize = 14120 - CiphertextSize = 240 + CiphertextSize = 208 SharedKeySize = 32 seedSize = 32 encapsulationSeedSize = 48 @@ -137,7 +137,7 @@ func deriveKeyPair(entropy []byte) (*PublicKey, *PrivateKey) { // Encryption routine. // Takes a public key `pk` to compute error vector `e` and syndrome `s`. -func encrypt(s, pk, e []byte, rand randFunc) error { +func encrypt(s *[CiphertextSize]byte, pk *[PublicKeySize]byte, e *[sysN / 8]byte, rand randFunc) error { err := genE(e, rand) if err != nil { return err @@ -152,23 +152,20 @@ func encrypt(s, pk, e []byte, rand randFunc) error { // This shared key is returned through parameter `key` whereas // the ciphertext (meant to be used for decapsulation) is returned as `c`. func kemEncapsulate(c *[CiphertextSize]byte, key *[SharedKeySize]byte, pk *[PublicKeySize]byte, rand randFunc) error { - twoE := [1 + sysN/8]byte{2} - e := twoE[1:] - oneEC := [1 + sysN/8 + (syndBytes + 32)]byte{1} - err := encrypt(c[:], pk[:], e, rand) - if err != nil { - return err - } - err = shake256(c[syndBytes:syndBytes+32], twoE[:]) + e := [sysN / 8]byte{} + oneEC := [1 + sysN/8 + syndBytes]byte{1} + + err := encrypt(c, pk, &e, rand) if err != nil { return err } - copy(oneEC[1:1+sysN/8], twoE[1:1+sysN/8]) - copy(oneEC[1+sysN/8:1+sysN/8+syndBytes+32], c[0:syndBytes+32]) + copy(oneEC[1:1+sysN/8], e[:sysN/8]) + copy(oneEC[1+sysN/8:1+sysN/8+syndBytes], c[:syndBytes]) err = shake256(key[0:32], oneEC[:]) if err != nil { return err } + return nil } @@ -177,24 +174,12 @@ func kemEncapsulate(c *[CiphertextSize]byte, key *[SharedKeySize]byte, pk *[Publ // Given a secret key `sk` and a ciphertext `c`, // determine the shared text `key` negotiated by both parties. func kemDecapsulate(key *[SharedKeySize]byte, c *[CiphertextSize]byte, sk *[PrivateKeySize]byte) error { - conf := [32]byte{} - twoE := [1 + sysN/8]byte{2} - e := twoE[1:] - preimage := [1 + sysN/8 + (syndBytes + 32)]byte{} + e := [sysN / 8]byte{} + preimage := [1 + sysN/8 + syndBytes]byte{} s := sk[40+irrBytes+condBytes:] retDecrypt := decrypt((*[sysN / 8]byte)(e[:sysN/8]), sk[40:], (*[syndBytes]byte)(c[:syndBytes])) - err := shake256(conf[0:32], twoE[:]) - if err != nil { - return err - } - - var retConfirm byte - for i := 0; i < 32; i++ { - retConfirm |= conf[i] ^ c[syndBytes+i] - } - - m := retDecrypt | uint16(retConfirm) + m := retDecrypt m -= 1 m >>= 8 @@ -203,13 +188,18 @@ func kemDecapsulate(key *[SharedKeySize]byte, c *[CiphertextSize]byte, sk *[Priv preimage[1+i] = (byte(^m) & s[i]) | (byte(m) & e[i]) } - copy(preimage[1+sysN/8:][:syndBytes+32], c[0:syndBytes+32]) - return shake256(key[0:32], preimage[:]) + copy(preimage[1+sysN/8:][:syndBytes], c[0:syndBytes]) + err := shake256(key[0:32], preimage[:]) + if err != nil { + return err + } + + return nil } // input: public key pk, error vector e // output: syndrome s -func syndrome(s []byte, pk []byte, e []byte) { +func syndrome(s *[CiphertextSize]byte, pk *[PublicKeySize]byte, e *[sysN / 8]byte) { row := [sysN / 8]byte{} var b byte @@ -223,7 +213,7 @@ func syndrome(s []byte, pk []byte, e []byte) { } for j := 0; j < pkRowBytes; j++ { - row[sysN/8-pkRowBytes+j] = pk[j] + row[sysN/8-pkRowBytes+j] = pk[i*pkRowBytes+j] } row[i/8] |= 1 << (i % 8) @@ -239,14 +229,12 @@ func syndrome(s []byte, pk []byte, e []byte) { b &= 1 s[i/8] |= b << (i % 8) - - pk = pk[pkRowBytes:] } } // Generates `e`, a random error vector of weight `t`. // If generation of pseudo-random numbers fails, an error is returned -func genE(e []byte, rand randFunc) error { +func genE(e *[sysN / 8]byte, rand randFunc) error { ind := [sysT]uint16{} val := [sysT]byte{} bytes := [sysT * 2]byte{} diff --git a/kem/mceliece/mceliece8192128f/mceliece.go b/kem/mceliece/mceliece8192128f/mceliece.go index ed969b677..f5447a851 100644 --- a/kem/mceliece/mceliece8192128f/mceliece.go +++ b/kem/mceliece/mceliece8192128f/mceliece.go @@ -39,7 +39,7 @@ const ( syndBytes = (pkNRows + 7) / 8 PublicKeySize = 1357824 PrivateKeySize = 14120 - CiphertextSize = 240 + CiphertextSize = 208 SharedKeySize = 32 seedSize = 32 encapsulationSeedSize = 48 @@ -137,7 +137,7 @@ func deriveKeyPair(entropy []byte) (*PublicKey, *PrivateKey) { // Encryption routine. // Takes a public key `pk` to compute error vector `e` and syndrome `s`. -func encrypt(s, pk, e []byte, rand randFunc) error { +func encrypt(s *[CiphertextSize]byte, pk *[PublicKeySize]byte, e *[sysN / 8]byte, rand randFunc) error { err := genE(e, rand) if err != nil { return err @@ -152,23 +152,20 @@ func encrypt(s, pk, e []byte, rand randFunc) error { // This shared key is returned through parameter `key` whereas // the ciphertext (meant to be used for decapsulation) is returned as `c`. func kemEncapsulate(c *[CiphertextSize]byte, key *[SharedKeySize]byte, pk *[PublicKeySize]byte, rand randFunc) error { - twoE := [1 + sysN/8]byte{2} - e := twoE[1:] - oneEC := [1 + sysN/8 + (syndBytes + 32)]byte{1} - err := encrypt(c[:], pk[:], e, rand) - if err != nil { - return err - } - err = shake256(c[syndBytes:syndBytes+32], twoE[:]) + e := [sysN / 8]byte{} + oneEC := [1 + sysN/8 + syndBytes]byte{1} + + err := encrypt(c, pk, &e, rand) if err != nil { return err } - copy(oneEC[1:1+sysN/8], twoE[1:1+sysN/8]) - copy(oneEC[1+sysN/8:1+sysN/8+syndBytes+32], c[0:syndBytes+32]) + copy(oneEC[1:1+sysN/8], e[:sysN/8]) + copy(oneEC[1+sysN/8:1+sysN/8+syndBytes], c[:syndBytes]) err = shake256(key[0:32], oneEC[:]) if err != nil { return err } + return nil } @@ -177,24 +174,12 @@ func kemEncapsulate(c *[CiphertextSize]byte, key *[SharedKeySize]byte, pk *[Publ // Given a secret key `sk` and a ciphertext `c`, // determine the shared text `key` negotiated by both parties. func kemDecapsulate(key *[SharedKeySize]byte, c *[CiphertextSize]byte, sk *[PrivateKeySize]byte) error { - conf := [32]byte{} - twoE := [1 + sysN/8]byte{2} - e := twoE[1:] - preimage := [1 + sysN/8 + (syndBytes + 32)]byte{} + e := [sysN / 8]byte{} + preimage := [1 + sysN/8 + syndBytes]byte{} s := sk[40+irrBytes+condBytes:] retDecrypt := decrypt((*[sysN / 8]byte)(e[:sysN/8]), sk[40:], (*[syndBytes]byte)(c[:syndBytes])) - err := shake256(conf[0:32], twoE[:]) - if err != nil { - return err - } - - var retConfirm byte - for i := 0; i < 32; i++ { - retConfirm |= conf[i] ^ c[syndBytes+i] - } - - m := retDecrypt | uint16(retConfirm) + m := retDecrypt m -= 1 m >>= 8 @@ -203,13 +188,18 @@ func kemDecapsulate(key *[SharedKeySize]byte, c *[CiphertextSize]byte, sk *[Priv preimage[1+i] = (byte(^m) & s[i]) | (byte(m) & e[i]) } - copy(preimage[1+sysN/8:][:syndBytes+32], c[0:syndBytes+32]) - return shake256(key[0:32], preimage[:]) + copy(preimage[1+sysN/8:][:syndBytes], c[0:syndBytes]) + err := shake256(key[0:32], preimage[:]) + if err != nil { + return err + } + + return nil } // input: public key pk, error vector e // output: syndrome s -func syndrome(s []byte, pk []byte, e []byte) { +func syndrome(s *[CiphertextSize]byte, pk *[PublicKeySize]byte, e *[sysN / 8]byte) { row := [sysN / 8]byte{} var b byte @@ -223,7 +213,7 @@ func syndrome(s []byte, pk []byte, e []byte) { } for j := 0; j < pkRowBytes; j++ { - row[sysN/8-pkRowBytes+j] = pk[j] + row[sysN/8-pkRowBytes+j] = pk[i*pkRowBytes+j] } row[i/8] |= 1 << (i % 8) @@ -239,14 +229,12 @@ func syndrome(s []byte, pk []byte, e []byte) { b &= 1 s[i/8] |= b << (i % 8) - - pk = pk[pkRowBytes:] } } // Generates `e`, a random error vector of weight `t`. // If generation of pseudo-random numbers fails, an error is returned -func genE(e []byte, rand randFunc) error { +func genE(e *[sysN / 8]byte, rand randFunc) error { ind := [sysT]uint16{} val := [sysT]byte{} bytes := [sysT * 2]byte{} diff --git a/kem/mceliece/templates/mceliece.templ.go b/kem/mceliece/templates/mceliece.templ.go index 88341f4c6..fdbf7a0c5 100644 --- a/kem/mceliece/templates/mceliece.templ.go +++ b/kem/mceliece/templates/mceliece.templ.go @@ -20,6 +20,7 @@ package {{.Pkg}} import ( "bytes" cryptoRand "crypto/rand" + {{if .Is6960119}} "fmt" {{end}} "io" "github.com/cloudflare/circl/internal/nist" @@ -141,7 +142,7 @@ func deriveKeyPair(entropy []byte) (*PublicKey, *PrivateKey) { // Encryption routine. // Takes a public key `pk` to compute error vector `e` and syndrome `s`. -func encrypt(s, pk, e []byte, rand randFunc) error { +func encrypt(s *[CiphertextSize]byte, pk *[PublicKeySize]byte, e *[sysN / 8]byte, rand randFunc) error { err := genE(e, rand) if err != nil { return err @@ -150,31 +151,46 @@ func encrypt(s, pk, e []byte, rand randFunc) error { return nil } -{{if not .Is6960119}} // KEM Encapsulation. // // Given a public key `pk`, sample a shared key. // This shared key is returned through parameter `key` whereas // the ciphertext (meant to be used for decapsulation) is returned as `c`. func kemEncapsulate(c *[CiphertextSize]byte, key *[SharedKeySize]byte, pk *[PublicKeySize]byte, rand randFunc) error { - twoE := [1 + sysN/8]byte{2} - e := twoE[1:] - oneEC := [1 + sysN/8 + (syndBytes + 32)]byte{1} - err := encrypt(c[:], pk[:], e, rand) - if err != nil { - return err - } - err = shake256(c[syndBytes:syndBytes+32], twoE[:]) + e := [sysN / 8]byte{} + oneEC := [1 + sysN/8 + syndBytes]byte{1} + + {{if .Is6960119}} + paddingOk := checkPkPadding(pk) + {{end}} + + err := encrypt(c, pk, &e, rand) if err != nil { return err } - copy(oneEC[1:1+sysN/8], twoE[1:1+sysN/8]) - copy(oneEC[1+sysN/8:1+sysN/8+syndBytes+32], c[0:syndBytes+32]) + copy(oneEC[1:1+sysN/8], e[:sysN/8]) + copy(oneEC[1+sysN/8:1+sysN/8+syndBytes], c[:syndBytes]) err = shake256(key[0:32], oneEC[:]) if err != nil { return err } + + {{if not .Is6960119}} return nil + {{else}} + mask := paddingOk ^ 0xFF + for i := 0; i < syndBytes; i++ { + c[i] &= mask + } + for i := 0; i < 32; i++ { + key[i] &= mask + } + + if paddingOk == 0 { + return nil + } + return fmt.Errorf("public key padding error %d", paddingOk) + {{end}} } // KEM Decapsulation. @@ -182,24 +198,16 @@ func kemEncapsulate(c *[CiphertextSize]byte, key *[SharedKeySize]byte, pk *[Publ // Given a secret key `sk` and a ciphertext `c`, // determine the shared text `key` negotiated by both parties. func kemDecapsulate(key *[SharedKeySize]byte, c *[CiphertextSize]byte, sk *[PrivateKeySize]byte) error { - conf := [32]byte{} - twoE := [1 + sysN/8]byte{2} - e := twoE[1:] - preimage := [1 + sysN/8 + (syndBytes + 32)]byte{} + e := [sysN / 8]byte{} + preimage := [1 + sysN/8 + syndBytes]byte{} s := sk[40+irrBytes+condBytes:] - retDecrypt := decrypt((*[sysN / 8]byte)(e[:sysN/8]), sk[40:], (*[syndBytes]byte)(c[:syndBytes])) - err := shake256(conf[0:32], twoE[:]) - if err != nil { - return err - } - - var retConfirm byte - for i := 0; i < 32; i++ { - retConfirm |= conf[i] ^ c[syndBytes+i] - } + {{if .Is6960119}} + paddingOk := checkCPadding(c) + {{end}} - m := retDecrypt | uint16(retConfirm) + retDecrypt := decrypt((*[sysN / 8]byte)(e[:sysN/8]), sk[40:], (*[syndBytes]byte)(c[:syndBytes])) + m := retDecrypt m -= 1 m >>= 8 @@ -208,13 +216,32 @@ func kemDecapsulate(key *[SharedKeySize]byte, c *[CiphertextSize]byte, sk *[Priv preimage[1+i] = (byte(^m) & s[i]) | (byte(m) & e[i]) } - copy(preimage[1+sysN/8:][:syndBytes+32], c[0:syndBytes+32]) - return shake256(key[0:32], preimage[:]) + copy(preimage[1+sysN/8:][:syndBytes], c[0:syndBytes]) + err := shake256(key[0:32], preimage[:]) + if err != nil { + return err + } + + {{if not .Is6960119}} + return nil + {{else}} + // clear outputs (set to all 1's) if padding bits are not all zero + mask := paddingOk + for i := 0; i < 32; i++ { + key[i] |= mask + } + + if paddingOk == 0 { + return nil + } + return fmt.Errorf("public key padding error %d", paddingOk) + {{end}} } +{{if not .Is6960119}} // input: public key pk, error vector e // output: syndrome s -func syndrome(s []byte, pk []byte, e []byte) { +func syndrome(s *[CiphertextSize]byte, pk *[PublicKeySize]byte, e *[sysN / 8]byte) { row := [sysN / 8]byte{} var b byte @@ -228,7 +255,7 @@ func syndrome(s []byte, pk []byte, e []byte) { } for j := 0; j < pkRowBytes; j++ { - row[sysN/8-pkRowBytes+j] = pk[j] + row[sysN/8-pkRowBytes+j] = pk[i*pkRowBytes+j] } row[i/8] |= 1 << (i % 8) @@ -244,8 +271,6 @@ func syndrome(s []byte, pk []byte, e []byte) { b &= 1 s[i/8] |= b << (i % 8) - - pk = pk[pkRowBytes:] } } {{end}} @@ -253,7 +278,7 @@ func syndrome(s []byte, pk []byte, e []byte) { {{if .Is8192128}} // Generates `e`, a random error vector of weight `t`. // If generation of pseudo-random numbers fails, an error is returned -func genE(e []byte, rand randFunc) error { +func genE(e *[sysN / 8]byte, rand randFunc) error { ind := [sysT]uint16{} val := [sysT]byte{} bytes := [sysT * 2]byte{} @@ -292,7 +317,7 @@ func genE(e []byte, rand randFunc) error { {{else}} // Generates `e`, a random error vector of weight `t`. // If generation of pseudo-random numbers fails, an error is returned -func genE(e []byte, rand randFunc) error { +func genE(e *[sysN / 8]byte, rand randFunc) error { ind := [sysT]uint16{} val := [sysT]byte{} for { diff --git a/kem/mceliece/templates/operations_6960119.templ.go b/kem/mceliece/templates/operations_6960119.templ.go index 8cd1af5b2..e1f8a21a1 100644 --- a/kem/mceliece/templates/operations_6960119.templ.go +++ b/kem/mceliece/templates/operations_6960119.templ.go @@ -6,8 +6,6 @@ package {{.Pkg}} -import "fmt" - // This function determines (in a constant-time manner) whether the padding bits of `pk` are all zero. func checkPkPadding(pk *[PublicKeySize]byte) byte { b := byte(0) @@ -21,7 +19,7 @@ func checkPkPadding(pk *[PublicKeySize]byte) byte { } // This function determines (in a constant-time manner) whether the padding bits of `c` are all zero. -func checkCPadding(c []byte) byte { +func checkCPadding(c *[CiphertextSize]byte) byte { b := c[syndBytes-1] >> (pkNRows % 8) b -= 1 b >>= 7 @@ -30,9 +28,8 @@ func checkCPadding(c []byte) byte { // input: public key pk, error vector e // output: syndrome s -func syndrome(s []byte, pk []byte, e []byte) { +func syndrome(s *[CiphertextSize]byte, pk *[PublicKeySize]byte, e *[sysN / 8]byte) { row := [sysN / 8]byte{} - pkSegment := pk tail := pkNRows % 8 for i := 0; i < syndBytes; i++ { s[i] = 0 @@ -42,7 +39,7 @@ func syndrome(s []byte, pk []byte, e []byte) { row[j] = 0 } for j := 0; j < pkRowBytes; j++ { - row[sysN/8-pkRowBytes+j] = pkSegment[j] + row[sysN/8-pkRowBytes+j] = pk[i*pkRowBytes+j] } for j := sysN/8 - 1; j >= sysN/8-pkRowBytes; j-- { row[j] = (row[j] << tail) | (row[j-1] >> (8 - tail)) @@ -60,94 +57,5 @@ func syndrome(s []byte, pk []byte, e []byte) { b &= 1 s[i/8] |= b << (i % 8) - - pkSegment = pkSegment[pkRowBytes:] - } -} - -// KEM Encapsulation. -// -// Given a public key `pk`, sample a shared key. -// This shared key is returned through parameter `key` whereas -// the ciphertext (meant to be used for decapsulation) is returned as `c`. -func kemEncapsulate(c *[CiphertextSize]byte, key *[SharedKeySize]byte, pk *[PublicKeySize]byte, rand randFunc) error { - twoE := [1 + sysN/8]byte{2} - oneEC := [1 + sysN/8 + (syndBytes + 32)]byte{1} - paddingOk := checkPkPadding(pk) - err := encrypt(c[:], pk[:], twoE[1:1+sysN/8], rand) - if err != nil { - return err - } - err = shake256(c[syndBytes:syndBytes+32], twoE[:]) - if err != nil { - return err - } - copy(oneEC[1:1+(sysN/8)], twoE[1:(sysN/8)+1]) - copy(oneEC[1+(sysN/8):1+(sysN/8)+syndBytes+32], c[0:syndBytes+32]) - err = shake256(key[0:32], oneEC[:]) - if err != nil { - return err } - - mask := paddingOk ^ 0xFF - for i := 0; i < syndBytes+32; i++ { - c[i] &= mask - } - for i := 0; i < 32; i++ { - key[i] &= mask - } - - if paddingOk == 0 { - return nil - } - return fmt.Errorf("public key padding error %d", paddingOk) -} - -// KEM Encapsulation. -// -// Given a public key `pk`, sample a shared key. -// This shared key is returned through parameter `key` whereas -// the ciphertext (meant to be used for decapsulation) is returned as `c`. -func kemDecapsulate(key *[SharedKeySize]byte, c *[CiphertextSize]byte, sk *[PrivateKeySize]byte) error { - conf := [32]byte{} - twoE := [1 + sysN/8]byte{2} - e := twoE[1:] - preimage := [1 + sysN/8 + (syndBytes + 32)]byte{} - s := sk[40+irrBytes+condBytes:] - - paddingOk := checkCPadding(c[:]) - retDecrypt := decrypt((*[sysN / 8]byte)(e[:sysN/8]), sk[40:], (*[syndBytes]byte)(c[:syndBytes])) - err := shake256(conf[0:32], twoE[:]) - if err != nil { - return err - } - - var retConfirm byte - for i := 0; i < 32; i++ { - retConfirm |= conf[i] ^ c[syndBytes+i] - } - - m := retDecrypt | uint16(retConfirm) - m -= 1 - m >>= 8 - - preimage[0] = byte(m & 1) - for i := 0; i < sysN/8; i++ { - preimage[1+i] = (byte(^m) & s[i]) | (byte(m) & twoE[1+i]) - } - copy(preimage[1+(sysN/8):][0:syndBytes+32], c[0:syndBytes+32]) - err = shake256(key[0:32], preimage[:]) - if err != nil { - return err - } - - mask := paddingOk - for i := 0; i < 32; i++ { - key[i] |= mask - } - - if paddingOk == 0 { - return nil - } - return fmt.Errorf("public key padding error %d", paddingOk) -} +} \ No newline at end of file From 66aa9c5e8583ba44bfe861b692d805fabd0fad4a Mon Sep 17 00:00:00 2001 From: octeep Date: Tue, 25 Oct 2022 19:46:53 +0100 Subject: [PATCH 11/14] Revert "optimize gf multiplication" This reverts commit c5636498298bef6aff27cdb8f5e272eab287c6d4. --- kem/mceliece/mceliece348864/mceliece_test.go | 26 ++++++++++++++++ math/gf4096/gf4096.go | 31 +++++++------------- math/gf4096/gf_test.go | 12 ++++++++ math/gf8192/gf8192.go | 31 +++++++------------- 4 files changed, 58 insertions(+), 42 deletions(-) diff --git a/kem/mceliece/mceliece348864/mceliece_test.go b/kem/mceliece/mceliece348864/mceliece_test.go index 83d678ad0..7318e0647 100644 --- a/kem/mceliece/mceliece348864/mceliece_test.go +++ b/kem/mceliece/mceliece348864/mceliece_test.go @@ -262,4 +262,30 @@ func TestPolyMul(t *testing.T) { 4086, 4094, 4086, 4094, 4086, 4094, 4086, 4094, 4086, 4094, 4086, 4094, 4086, 4094, 4086, 4094, 4086, 4094, 4086, 4094, 4086, 4094, }) + + fill(&arg1, 8191) + fill(&arg2, 1) + arg1[0] = 1 + arg2[0] = 1 + polyMul(&res, &arg1, &arg2) + assertEq(t, &res, []gf{ + 4068, 4068, 18, 4087, 18, 4087, 4068, 4087, 4068, 4087, 4068, 4087, 4068, 4087, + 4068, 4087, 4068, 4087, 4068, 4087, 4068, 4087, 4068, 4087, 4068, 4087, 4068, 4087, + 4068, 4087, 4068, 4087, 4068, 4087, 4068, 4087, 4068, 4087, 4068, 4087, 4068, 4087, + 4068, 4087, 4068, 4087, 4068, 4087, 4068, 4087, 4068, 4087, 4068, 4087, 4068, 4087, + 4068, 4087, 4068, 4087, 4068, 4087, 4068, 4087, + }) + + fill(&arg1, 1) + fill(&arg2, 8191) + arg1[0] = 1 + arg2[0] = 1 + polyMul(&res, &arg1, &arg2) + assertEq(t, &res, []gf{ + 4086, 4086, 9, 4094, 9, 4094, 4086, 4094, 4086, 4094, 4086, 4094, 4086, 4094, + 4086, 4094, 4086, 4094, 4086, 4094, 4086, 4094, 4086, 4094, 4086, 4094, 4086, 4094, + 4086, 4094, 4086, 4094, 4086, 4094, 4086, 4094, 4086, 4094, 4086, 4094, 4086, 4094, + 4086, 4094, 4086, 4094, 4086, 4094, 4086, 4094, 4086, 4094, 4086, 4094, 4086, 4094, + 4086, 4094, 4086, 4094, 4086, 4094, 4086, 4094, + }) } diff --git a/math/gf4096/gf4096.go b/math/gf4096/gf4096.go index 493c339d4..bc4b9db35 100644 --- a/math/gf4096/gf4096.go +++ b/math/gf4096/gf4096.go @@ -17,27 +17,16 @@ func Add(a, b Gf) Gf { // Mul calculate the product of two Gf elements. func Mul(a, b Gf) Gf { - // carry-less multiplication by adding "holes" - // see https://www.bearssl.org/constanttime.html#ghash-for-gcm - x := uint64(a) - y := uint64(b) - x0 := x & 0x111111111111 - x1 := x & 0x222222222222 - x2 := x & 0x444444444444 - x3 := x & 0x888888888888 - y0 := y & 0x111111111111 - y1 := y & 0x222222222222 - y2 := y & 0x444444444444 - y3 := y & 0x888888888888 - z0 := (x0 * y0) ^ (x1 * y3) ^ (x2 * y2) ^ (x3 * y1) - z1 := (x0 * y1) ^ (x1 * y0) ^ (x2 * y3) ^ (x3 * y2) - z2 := (x0 * y2) ^ (x1 * y1) ^ (x2 * y0) ^ (x3 * y3) - z3 := (x0 * y3) ^ (x1 * y2) ^ (x2 * y1) ^ (x3 * y0) - z0 &= 0x111111111111 - z1 &= 0x222222222222 - z2 &= 0x444444444444 - z3 &= 0x888888888888 - tmp := z0 | z1 | z2 | z3 + a64 := uint64(a) + b64 := uint64(b) + + // if the LSB of b is 1, set tmp to a64, and 0 otherwise + tmp := a64 & -(b64 & 1) + + // check if i-th bit of b64 is set, add a64 shifted by i bits if so + for i := 1; i < GfBits; i++ { + tmp ^= a64 * (b64 & (1 << i)) + } // polynomial reduction t := tmp & 0x7FC000 diff --git a/math/gf4096/gf_test.go b/math/gf4096/gf_test.go index 536cb89ce..0bdadaeba 100644 --- a/math/gf4096/gf_test.go +++ b/math/gf4096/gf_test.go @@ -29,10 +29,14 @@ func TestGeneric(t *testing.T) { } func testDiv(t *testing.T, div tdiv) { + assertEq(t, div(6733, 1), 2637) assertEq(t, div(0, 2), 0) assertEq(t, div(4, 2), 2) + assertEq(t, div(4096, 2), 0) assertEq(t, div(9, 3), 7) + assertEq(t, div(4591, 5), 99) assertEq(t, div(10, 550), 3344) + assertEq(t, div(3, 5501), 1763) } func testInv(t *testing.T, inv tinv) { @@ -41,6 +45,11 @@ func testInv(t *testing.T, inv tinv) { assertEq(t, inv(2), 2052) assertEq(t, inv(3), 4088) assertEq(t, inv(4), 1026) + assertEq(t, inv(4095), 1539) + assertEq(t, inv(4096), 0) + assertEq(t, inv(8191), 1539) + assertEq(t, inv(8192), 0) + assertEq(t, inv(0xFFFF), 1539) } func testSqr(t *testing.T, sqr tsqr) { @@ -73,6 +82,9 @@ func testMul(t *testing.T, mul tmul) { assertEq(t, mul(125, 37), 3625) assertEq(t, mul(37, 125), 3625) assertEq(t, mul(4095, 1), 4095) + assertEq(t, mul(1, 4095), 4095) + assertEq(t, mul(8191, 1), 4086) + assertEq(t, mul(1, 8191), 4095) assertEq(t, mul(550, 3344), 10) assertEq(t, mul(3344, 550), 10) } diff --git a/math/gf8192/gf8192.go b/math/gf8192/gf8192.go index 0d0460dd5..0a7d94ec7 100644 --- a/math/gf8192/gf8192.go +++ b/math/gf8192/gf8192.go @@ -17,27 +17,16 @@ func Add(a, b Gf) Gf { // Mul calculate the product of two Gf elements. func Mul(a, b Gf) Gf { - // carry-less multiplication by adding "holes" - // see https://www.bearssl.org/constanttime.html#ghash-for-gcm - x := uint64(a) - y := uint64(b) - x0 := x & 0x1111111111111 - x1 := x & 0x2222222222222 - x2 := x & 0x4444444444444 - x3 := x & 0x8888888888888 - y0 := y & 0x1111111111111 - y1 := y & 0x2222222222222 - y2 := y & 0x4444444444444 - y3 := y & 0x8888888888888 - z0 := (x0 * y0) ^ (x1 * y3) ^ (x2 * y2) ^ (x3 * y1) - z1 := (x0 * y1) ^ (x1 * y0) ^ (x2 * y3) ^ (x3 * y2) - z2 := (x0 * y2) ^ (x1 * y1) ^ (x2 * y0) ^ (x3 * y3) - z3 := (x0 * y3) ^ (x1 * y2) ^ (x2 * y1) ^ (x3 * y0) - z0 &= 0x1111111111111 - z1 &= 0x2222222222222 - z2 &= 0x4444444444444 - z3 &= 0x8888888888888 - tmp := z0 | z1 | z2 | z3 + a64 := uint64(a) + b64 := uint64(b) + + // if the LSB of b is 1, set tmp to a64, and 0 otherwise + tmp := a64 & -(b64 & 1) + + // check if i-th bit of b64 is set, add a64 shifted by i bits if so + for i := 1; i < GfBits; i++ { + tmp ^= a64 * (b64 & (1 << i)) + } // polynomial reduction t := tmp & 0x1FF0000 From d81cf1e4c012ec5257af0d6f552501812d4bf5cf Mon Sep 17 00:00:00 2001 From: octeep Date: Thu, 17 Nov 2022 16:39:27 +0000 Subject: [PATCH 12/14] remove wrong comment --- kem/mceliece/kat_test.go | 5 +---- 1 file changed, 1 insertion(+), 4 deletions(-) diff --git a/kem/mceliece/kat_test.go b/kem/mceliece/kat_test.go index cd8030d53..81ad3dd8d 100644 --- a/kem/mceliece/kat_test.go +++ b/kem/mceliece/kat_test.go @@ -61,10 +61,7 @@ func testPQCgenKATKem(t *testing.T, name, expected string) { g2 := nist.NewDRBG(&seed) - // This is not equivalent to g2.Fill(kseed[:]). As the reference - // implementation calls randombytes twice generating the keypair, - // we have to do that as well. - g2.Fill(kseed[:32]) + g2.Fill(kseed) pk, sk := scheme.DeriveKeyPair(kseed) ppk, _ := pk.MarshalBinary() From 9dbf4684a3310b6c9411a71ee7570cc31aef11ea Mon Sep 17 00:00:00 2001 From: Wind Wong Date: Fri, 9 Dec 2022 09:27:00 +0000 Subject: [PATCH 13/14] field arithmetic cleanup Co-authored-by: Armando Faz --- kem/mceliece/gen.go | 10 +++--- kem/mceliece/internal/fft_const.go | 12 +++---- kem/mceliece/internal/powers.go | 8 ++--- kem/mceliece/mceliece348864/mceliece.go | 34 +++++++++--------- kem/mceliece/mceliece348864f/mceliece.go | 34 +++++++++--------- kem/mceliece/mceliece460896/mceliece.go | 32 ++++++++--------- kem/mceliece/mceliece460896f/mceliece.go | 32 ++++++++--------- kem/mceliece/mceliece6688128/mceliece.go | 32 ++++++++--------- kem/mceliece/mceliece6688128f/mceliece.go | 32 ++++++++--------- kem/mceliece/mceliece6960119/mceliece.go | 32 ++++++++--------- kem/mceliece/mceliece6960119f/mceliece.go | 32 ++++++++--------- kem/mceliece/mceliece8192128/mceliece.go | 32 ++++++++--------- kem/mceliece/mceliece8192128f/mceliece.go | 32 ++++++++--------- kem/mceliece/templates/mceliece.templ.go | 6 ++-- math/{gf4096 => gf2e12}/gf4096.go | 36 +++++++++---------- math/{gf4096 => gf2e12}/gf_test.go | 31 +++++------------ math/{gf8192 => gf2e13}/gf8192.go | 42 +++++++++++------------ math/{gf8192 => gf2e13}/gf_test.go | 23 ++++++------- 18 files changed, 238 insertions(+), 254 deletions(-) rename math/{gf4096 => gf2e12}/gf4096.go (64%) rename math/{gf4096 => gf2e12}/gf_test.go (75%) rename math/{gf8192 => gf2e13}/gf8192.go (79%) rename math/{gf8192 => gf2e13}/gf_test.go (91%) diff --git a/kem/mceliece/gen.go b/kem/mceliece/gen.go index 3ca2bef5e..440d34c08 100644 --- a/kem/mceliece/gen.go +++ b/kem/mceliece/gen.go @@ -57,7 +57,7 @@ func (m Instance) Is8192128() bool { var ( McElieceParam348864 = Param{ - Gf: "gf4096", + Gf: "gf2e12", PublicKeySize: 261120, PrivateKeySize: 6492, CiphertextSize: 96, @@ -65,7 +65,7 @@ var ( SysT: 64, } McElieceParam460896 = Param{ - Gf: "gf8192", + Gf: "gf2e13", PublicKeySize: 524160, PrivateKeySize: 13608, CiphertextSize: 156, @@ -73,7 +73,7 @@ var ( SysT: 96, } McElieceParam6688128 = Param{ - Gf: "gf8192", + Gf: "gf2e13", PublicKeySize: 1044992, PrivateKeySize: 13932, CiphertextSize: 208, @@ -81,7 +81,7 @@ var ( SysT: 128, } McElieceParam6960119 = Param{ - Gf: "gf8192", + Gf: "gf2e13", PublicKeySize: 1047319, PrivateKeySize: 13948, CiphertextSize: 194, @@ -89,7 +89,7 @@ var ( SysT: 119, } McElieceParam8192128 = Param{ - Gf: "gf8192", + Gf: "gf2e13", PublicKeySize: 1357824, PrivateKeySize: 14120, CiphertextSize: 208, diff --git a/kem/mceliece/internal/fft_const.go b/kem/mceliece/internal/fft_const.go index fa53575d6..7e629f086 100644 --- a/kem/mceliece/internal/fft_const.go +++ b/kem/mceliece/internal/fft_const.go @@ -1,8 +1,8 @@ package internal import ( - "github.com/cloudflare/circl/math/gf4096" - "github.com/cloudflare/circl/math/gf8192" + "github.com/cloudflare/circl/math/gf2e12" + "github.com/cloudflare/circl/math/gf2e13" ) var ButterfliesReversal4096 = [64]byte{ @@ -45,7 +45,7 @@ var RadixConversionsMask = [5][2]uint64{ {0xFFFF000000000000, 0x0000FFFF00000000}, } -var ButterfliesConst = [128][gf8192.GfBits]uint64{ +var ButterfliesConst = [128][gf2e13.Bits]uint64{ { 0x6969969669699696, 0x9966669966999966, @@ -1968,7 +1968,7 @@ var ButterfliesConst = [128][gf8192.GfBits]uint64{ }, } -var RadixConversionsS = [5][2][gf8192.GfBits]uint64{ +var RadixConversionsS = [5][2][gf2e13.Bits]uint64{ { { 0x3C3CF30C0000C003, @@ -2131,7 +2131,7 @@ var RadixConversionsS = [5][2][gf8192.GfBits]uint64{ }, } -var RadixConversionsS4096 = [5][gf4096.GfBits]uint64{ +var RadixConversionsS4096 = [5][gf2e12.Bits]uint64{ { 0xF3CFC030FC30F003, 0x3FCF0F003C00C00C, @@ -2204,7 +2204,7 @@ var RadixConversionsS4096 = [5][gf4096.GfBits]uint64{ }, } -var ButterfliesConsts4096 = [63][gf4096.GfBits]uint64{ +var ButterfliesConsts4096 = [63][gf2e12.Bits]uint64{ // 64 { 0xF00F0FF0F00F0FF0, diff --git a/kem/mceliece/internal/powers.go b/kem/mceliece/internal/powers.go index b72548641..3f048796d 100644 --- a/kem/mceliece/internal/powers.go +++ b/kem/mceliece/internal/powers.go @@ -1,11 +1,11 @@ package internal import ( - "github.com/cloudflare/circl/math/gf4096" - "github.com/cloudflare/circl/math/gf8192" + "github.com/cloudflare/circl/math/gf2e12" + "github.com/cloudflare/circl/math/gf2e13" ) -var Powers4096 = [64][gf4096.GfBits]uint64{ +var Powers4096 = [64][gf2e12.Bits]uint64{ { 0x0F0F0F0FF0F0F0F0, 0xFFFF0000FFFF0000, @@ -904,7 +904,7 @@ var Powers4096 = [64][gf4096.GfBits]uint64{ }, } -var Powers8192 = [128][gf8192.GfBits]uint64{ +var Powers8192 = [128][gf2e13.Bits]uint64{ { 0x5AA55AA5A55AA55A, 0x3CC33CC3C33CC33C, diff --git a/kem/mceliece/mceliece348864/mceliece.go b/kem/mceliece/mceliece348864/mceliece.go index 7a435dc44..431071449 100644 --- a/kem/mceliece/mceliece348864/mceliece.go +++ b/kem/mceliece/mceliece348864/mceliece.go @@ -22,13 +22,13 @@ import ( "github.com/cloudflare/circl/internal/sha3" "github.com/cloudflare/circl/kem" "github.com/cloudflare/circl/kem/mceliece/internal" - "github.com/cloudflare/circl/math/gf4096" + "github.com/cloudflare/circl/math/gf2e12" ) const ( sysT = 64 // F(y) is 64 degree - gfBits = gf4096.GfBits - gfMask = gf4096.GfMask + gfBits = gf2e12.Bits + gfMask = gf2e12.Mask unusedBits = 16 - gfBits sysN = 3488 condBytes = (1 << (gfBits - 4)) * (2*gfBits - 1) @@ -54,7 +54,7 @@ type PrivateKey struct { } type ( - gf = gf4096.Gf + gf = gf2e12.Elt randFunc = func(pool []byte) error ) @@ -332,10 +332,10 @@ func synd(out *[sysT * 2]gf, f *[sysT + 1]gf, L *[sysN]gf, r *[sysN / 8]byte) { for i := 0; i < sysN; i++ { c := uint16(r[i/8]>>(i%8)) & 1 e := eval(f, L[i]) - eInv := gf4096.Inv(gf4096.Mul(e, e)) + eInv := gf2e12.Inv(gf2e12.Mul(e, e)) for j := 0; j < 2*sysT; j++ { - out[j] = gf4096.Add(out[j], gf4096.Mul(eInv, c)) - eInv = gf4096.Mul(eInv, L[i]) + out[j] = gf2e12.Add(out[j], gf2e12.Mul(eInv, c)) + eInv = gf2e12.Mul(eInv, L[i]) } } } @@ -362,7 +362,7 @@ func bm(out *[sysT + 1]gf, s *[2 * sysT]gf) { for N := 0; N < 2*sysT; N++ { d = 0 for i := 0; i <= min(N, sysT); i++ { - d ^= gf4096.Mul(C[i], s[N-i]) + d ^= gf2e12.Mul(C[i], s[N-i]) } mne = d mne -= 1 @@ -376,9 +376,9 @@ func bm(out *[sysT + 1]gf, s *[2 * sysT]gf) { for i := 0; i <= sysT; i++ { T[i] = C[i] } - f = gf4096.Div(d, b) + f = gf2e12.Div(d, b) for i := 0; i <= sysT; i++ { - C[i] ^= gf4096.Mul(f, B[i]) & mne + C[i] ^= gf2e12.Mul(f, B[i]) & mne } L = (L & ^mle) | ((uint16(N) + 1 - L) & mle) @@ -488,16 +488,16 @@ func minimalPolynomial(out *[sysT]gf, f *[sysT]gf) bool { return false } - inv := gf4096.Inv(mat[j][j]) + inv := gf2e12.Inv(mat[j][j]) for c := 0; c <= sysT; c++ { - mat[c][j] = gf4096.Mul(mat[c][j], inv) + mat[c][j] = gf2e12.Mul(mat[c][j], inv) } for k := 0; k < sysT; k++ { if k != j { t := mat[j][k] for c := 0; c <= sysT; c++ { - mat[c][k] ^= gf4096.Mul(mat[c][j], t) + mat[c][k] ^= gf2e12.Mul(mat[c][j], t) } } } @@ -515,7 +515,7 @@ func polyMul(out *[sysT]gf, a *[sysT]gf, b *[sysT]gf) { product := [sysT*2 - 1]gf{} for i := 0; i < sysT; i++ { for j := 0; j < sysT; j++ { - product[i+j] ^= gf4096.Mul(a[i], b[j]) + product[i+j] ^= gf2e12.Mul(a[i], b[j]) } } @@ -524,7 +524,7 @@ func polyMul(out *[sysT]gf, a *[sysT]gf, b *[sysT]gf) { product[i-sysT+3] ^= product[i] product[i-sysT+1] ^= product[i] - product[i-sysT] ^= gf4096.Mul(product[i], 2) + product[i-sysT] ^= gf2e12.Mul(product[i], 2) } @@ -563,8 +563,8 @@ func transpose64x64(out, in *[64]uint64) { func eval(f *[sysT + 1]gf, a gf) gf { r := f[sysT] for i := sysT - 1; i >= 0; i-- { - r = gf4096.Mul(r, a) - r = gf4096.Add(r, f[i]) + r = gf2e12.Mul(r, a) + r = gf2e12.Add(r, f[i]) } return r } diff --git a/kem/mceliece/mceliece348864f/mceliece.go b/kem/mceliece/mceliece348864f/mceliece.go index f7b7f5f7d..01dc2beb3 100644 --- a/kem/mceliece/mceliece348864f/mceliece.go +++ b/kem/mceliece/mceliece348864f/mceliece.go @@ -22,13 +22,13 @@ import ( "github.com/cloudflare/circl/internal/sha3" "github.com/cloudflare/circl/kem" "github.com/cloudflare/circl/kem/mceliece/internal" - "github.com/cloudflare/circl/math/gf4096" + "github.com/cloudflare/circl/math/gf2e12" ) const ( sysT = 64 // F(y) is 64 degree - gfBits = gf4096.GfBits - gfMask = gf4096.GfMask + gfBits = gf2e12.Bits + gfMask = gf2e12.Mask unusedBits = 16 - gfBits sysN = 3488 condBytes = (1 << (gfBits - 4)) * (2*gfBits - 1) @@ -54,7 +54,7 @@ type PrivateKey struct { } type ( - gf = gf4096.Gf + gf = gf2e12.Elt randFunc = func(pool []byte) error ) @@ -332,10 +332,10 @@ func synd(out *[sysT * 2]gf, f *[sysT + 1]gf, L *[sysN]gf, r *[sysN / 8]byte) { for i := 0; i < sysN; i++ { c := uint16(r[i/8]>>(i%8)) & 1 e := eval(f, L[i]) - eInv := gf4096.Inv(gf4096.Mul(e, e)) + eInv := gf2e12.Inv(gf2e12.Mul(e, e)) for j := 0; j < 2*sysT; j++ { - out[j] = gf4096.Add(out[j], gf4096.Mul(eInv, c)) - eInv = gf4096.Mul(eInv, L[i]) + out[j] = gf2e12.Add(out[j], gf2e12.Mul(eInv, c)) + eInv = gf2e12.Mul(eInv, L[i]) } } } @@ -362,7 +362,7 @@ func bm(out *[sysT + 1]gf, s *[2 * sysT]gf) { for N := 0; N < 2*sysT; N++ { d = 0 for i := 0; i <= min(N, sysT); i++ { - d ^= gf4096.Mul(C[i], s[N-i]) + d ^= gf2e12.Mul(C[i], s[N-i]) } mne = d mne -= 1 @@ -376,9 +376,9 @@ func bm(out *[sysT + 1]gf, s *[2 * sysT]gf) { for i := 0; i <= sysT; i++ { T[i] = C[i] } - f = gf4096.Div(d, b) + f = gf2e12.Div(d, b) for i := 0; i <= sysT; i++ { - C[i] ^= gf4096.Mul(f, B[i]) & mne + C[i] ^= gf2e12.Mul(f, B[i]) & mne } L = (L & ^mle) | ((uint16(N) + 1 - L) & mle) @@ -488,16 +488,16 @@ func minimalPolynomial(out *[sysT]gf, f *[sysT]gf) bool { return false } - inv := gf4096.Inv(mat[j][j]) + inv := gf2e12.Inv(mat[j][j]) for c := 0; c <= sysT; c++ { - mat[c][j] = gf4096.Mul(mat[c][j], inv) + mat[c][j] = gf2e12.Mul(mat[c][j], inv) } for k := 0; k < sysT; k++ { if k != j { t := mat[j][k] for c := 0; c <= sysT; c++ { - mat[c][k] ^= gf4096.Mul(mat[c][j], t) + mat[c][k] ^= gf2e12.Mul(mat[c][j], t) } } } @@ -515,7 +515,7 @@ func polyMul(out *[sysT]gf, a *[sysT]gf, b *[sysT]gf) { product := [sysT*2 - 1]gf{} for i := 0; i < sysT; i++ { for j := 0; j < sysT; j++ { - product[i+j] ^= gf4096.Mul(a[i], b[j]) + product[i+j] ^= gf2e12.Mul(a[i], b[j]) } } @@ -524,7 +524,7 @@ func polyMul(out *[sysT]gf, a *[sysT]gf, b *[sysT]gf) { product[i-sysT+3] ^= product[i] product[i-sysT+1] ^= product[i] - product[i-sysT] ^= gf4096.Mul(product[i], 2) + product[i-sysT] ^= gf2e12.Mul(product[i], 2) } @@ -563,8 +563,8 @@ func transpose64x64(out, in *[64]uint64) { func eval(f *[sysT + 1]gf, a gf) gf { r := f[sysT] for i := sysT - 1; i >= 0; i-- { - r = gf4096.Mul(r, a) - r = gf4096.Add(r, f[i]) + r = gf2e12.Mul(r, a) + r = gf2e12.Add(r, f[i]) } return r } diff --git a/kem/mceliece/mceliece460896/mceliece.go b/kem/mceliece/mceliece460896/mceliece.go index 59b1c2ee5..662c63b78 100644 --- a/kem/mceliece/mceliece460896/mceliece.go +++ b/kem/mceliece/mceliece460896/mceliece.go @@ -22,13 +22,13 @@ import ( "github.com/cloudflare/circl/internal/sha3" "github.com/cloudflare/circl/kem" "github.com/cloudflare/circl/kem/mceliece/internal" - "github.com/cloudflare/circl/math/gf8192" + "github.com/cloudflare/circl/math/gf2e13" ) const ( sysT = 96 // F(y) is 64 degree - gfBits = gf8192.GfBits - gfMask = gf8192.GfMask + gfBits = gf2e13.Bits + gfMask = gf2e13.Mask unusedBits = 16 - gfBits sysN = 4608 condBytes = (1 << (gfBits - 4)) * (2*gfBits - 1) @@ -54,7 +54,7 @@ type PrivateKey struct { } type ( - gf = gf8192.Gf + gf = gf2e13.Elt randFunc = func(pool []byte) error ) @@ -332,10 +332,10 @@ func synd(out *[sysT * 2]gf, f *[sysT + 1]gf, L *[sysN]gf, r *[sysN / 8]byte) { for i := 0; i < sysN; i++ { c := uint16(r[i/8]>>(i%8)) & 1 e := eval(f, L[i]) - eInv := gf8192.Inv(gf8192.Mul(e, e)) + eInv := gf2e13.Inv(gf2e13.Mul(e, e)) for j := 0; j < 2*sysT; j++ { - out[j] = gf8192.Add(out[j], gf8192.Mul(eInv, c)) - eInv = gf8192.Mul(eInv, L[i]) + out[j] = gf2e13.Add(out[j], gf2e13.Mul(eInv, c)) + eInv = gf2e13.Mul(eInv, L[i]) } } } @@ -362,7 +362,7 @@ func bm(out *[sysT + 1]gf, s *[2 * sysT]gf) { for N := 0; N < 2*sysT; N++ { d = 0 for i := 0; i <= min(N, sysT); i++ { - d ^= gf8192.Mul(C[i], s[N-i]) + d ^= gf2e13.Mul(C[i], s[N-i]) } mne = d mne -= 1 @@ -376,9 +376,9 @@ func bm(out *[sysT + 1]gf, s *[2 * sysT]gf) { for i := 0; i <= sysT; i++ { T[i] = C[i] } - f = gf8192.Div(d, b) + f = gf2e13.Div(d, b) for i := 0; i <= sysT; i++ { - C[i] ^= gf8192.Mul(f, B[i]) & mne + C[i] ^= gf2e13.Mul(f, B[i]) & mne } L = (L & ^mle) | ((uint16(N) + 1 - L) & mle) @@ -488,16 +488,16 @@ func minimalPolynomial(out *[sysT]gf, f *[sysT]gf) bool { return false } - inv := gf8192.Inv(mat[j][j]) + inv := gf2e13.Inv(mat[j][j]) for c := 0; c <= sysT; c++ { - mat[c][j] = gf8192.Mul(mat[c][j], inv) + mat[c][j] = gf2e13.Mul(mat[c][j], inv) } for k := 0; k < sysT; k++ { if k != j { t := mat[j][k] for c := 0; c <= sysT; c++ { - mat[c][k] ^= gf8192.Mul(mat[c][j], t) + mat[c][k] ^= gf2e13.Mul(mat[c][j], t) } } } @@ -515,7 +515,7 @@ func polyMul(out *[sysT]gf, a *[sysT]gf, b *[sysT]gf) { product := [sysT*2 - 1]gf{} for i := 0; i < sysT; i++ { for j := 0; j < sysT; j++ { - product[i+j] ^= gf8192.Mul(a[i], b[j]) + product[i+j] ^= gf2e13.Mul(a[i], b[j]) } } @@ -564,8 +564,8 @@ func transpose64x64(out, in *[64]uint64) { func eval(f *[sysT + 1]gf, a gf) gf { r := f[sysT] for i := sysT - 1; i >= 0; i-- { - r = gf8192.Mul(r, a) - r = gf8192.Add(r, f[i]) + r = gf2e13.Mul(r, a) + r = gf2e13.Add(r, f[i]) } return r } diff --git a/kem/mceliece/mceliece460896f/mceliece.go b/kem/mceliece/mceliece460896f/mceliece.go index 388b0bd6d..bc9f0d2aa 100644 --- a/kem/mceliece/mceliece460896f/mceliece.go +++ b/kem/mceliece/mceliece460896f/mceliece.go @@ -22,13 +22,13 @@ import ( "github.com/cloudflare/circl/internal/sha3" "github.com/cloudflare/circl/kem" "github.com/cloudflare/circl/kem/mceliece/internal" - "github.com/cloudflare/circl/math/gf8192" + "github.com/cloudflare/circl/math/gf2e13" ) const ( sysT = 96 // F(y) is 64 degree - gfBits = gf8192.GfBits - gfMask = gf8192.GfMask + gfBits = gf2e13.Bits + gfMask = gf2e13.Mask unusedBits = 16 - gfBits sysN = 4608 condBytes = (1 << (gfBits - 4)) * (2*gfBits - 1) @@ -54,7 +54,7 @@ type PrivateKey struct { } type ( - gf = gf8192.Gf + gf = gf2e13.Elt randFunc = func(pool []byte) error ) @@ -332,10 +332,10 @@ func synd(out *[sysT * 2]gf, f *[sysT + 1]gf, L *[sysN]gf, r *[sysN / 8]byte) { for i := 0; i < sysN; i++ { c := uint16(r[i/8]>>(i%8)) & 1 e := eval(f, L[i]) - eInv := gf8192.Inv(gf8192.Mul(e, e)) + eInv := gf2e13.Inv(gf2e13.Mul(e, e)) for j := 0; j < 2*sysT; j++ { - out[j] = gf8192.Add(out[j], gf8192.Mul(eInv, c)) - eInv = gf8192.Mul(eInv, L[i]) + out[j] = gf2e13.Add(out[j], gf2e13.Mul(eInv, c)) + eInv = gf2e13.Mul(eInv, L[i]) } } } @@ -362,7 +362,7 @@ func bm(out *[sysT + 1]gf, s *[2 * sysT]gf) { for N := 0; N < 2*sysT; N++ { d = 0 for i := 0; i <= min(N, sysT); i++ { - d ^= gf8192.Mul(C[i], s[N-i]) + d ^= gf2e13.Mul(C[i], s[N-i]) } mne = d mne -= 1 @@ -376,9 +376,9 @@ func bm(out *[sysT + 1]gf, s *[2 * sysT]gf) { for i := 0; i <= sysT; i++ { T[i] = C[i] } - f = gf8192.Div(d, b) + f = gf2e13.Div(d, b) for i := 0; i <= sysT; i++ { - C[i] ^= gf8192.Mul(f, B[i]) & mne + C[i] ^= gf2e13.Mul(f, B[i]) & mne } L = (L & ^mle) | ((uint16(N) + 1 - L) & mle) @@ -488,16 +488,16 @@ func minimalPolynomial(out *[sysT]gf, f *[sysT]gf) bool { return false } - inv := gf8192.Inv(mat[j][j]) + inv := gf2e13.Inv(mat[j][j]) for c := 0; c <= sysT; c++ { - mat[c][j] = gf8192.Mul(mat[c][j], inv) + mat[c][j] = gf2e13.Mul(mat[c][j], inv) } for k := 0; k < sysT; k++ { if k != j { t := mat[j][k] for c := 0; c <= sysT; c++ { - mat[c][k] ^= gf8192.Mul(mat[c][j], t) + mat[c][k] ^= gf2e13.Mul(mat[c][j], t) } } } @@ -515,7 +515,7 @@ func polyMul(out *[sysT]gf, a *[sysT]gf, b *[sysT]gf) { product := [sysT*2 - 1]gf{} for i := 0; i < sysT; i++ { for j := 0; j < sysT; j++ { - product[i+j] ^= gf8192.Mul(a[i], b[j]) + product[i+j] ^= gf2e13.Mul(a[i], b[j]) } } @@ -564,8 +564,8 @@ func transpose64x64(out, in *[64]uint64) { func eval(f *[sysT + 1]gf, a gf) gf { r := f[sysT] for i := sysT - 1; i >= 0; i-- { - r = gf8192.Mul(r, a) - r = gf8192.Add(r, f[i]) + r = gf2e13.Mul(r, a) + r = gf2e13.Add(r, f[i]) } return r } diff --git a/kem/mceliece/mceliece6688128/mceliece.go b/kem/mceliece/mceliece6688128/mceliece.go index 564f8f4aa..9fc1491cc 100644 --- a/kem/mceliece/mceliece6688128/mceliece.go +++ b/kem/mceliece/mceliece6688128/mceliece.go @@ -22,13 +22,13 @@ import ( "github.com/cloudflare/circl/internal/sha3" "github.com/cloudflare/circl/kem" "github.com/cloudflare/circl/kem/mceliece/internal" - "github.com/cloudflare/circl/math/gf8192" + "github.com/cloudflare/circl/math/gf2e13" ) const ( sysT = 128 // F(y) is 64 degree - gfBits = gf8192.GfBits - gfMask = gf8192.GfMask + gfBits = gf2e13.Bits + gfMask = gf2e13.Mask unusedBits = 16 - gfBits sysN = 6688 condBytes = (1 << (gfBits - 4)) * (2*gfBits - 1) @@ -54,7 +54,7 @@ type PrivateKey struct { } type ( - gf = gf8192.Gf + gf = gf2e13.Elt randFunc = func(pool []byte) error ) @@ -332,10 +332,10 @@ func synd(out *[sysT * 2]gf, f *[sysT + 1]gf, L *[sysN]gf, r *[sysN / 8]byte) { for i := 0; i < sysN; i++ { c := uint16(r[i/8]>>(i%8)) & 1 e := eval(f, L[i]) - eInv := gf8192.Inv(gf8192.Mul(e, e)) + eInv := gf2e13.Inv(gf2e13.Mul(e, e)) for j := 0; j < 2*sysT; j++ { - out[j] = gf8192.Add(out[j], gf8192.Mul(eInv, c)) - eInv = gf8192.Mul(eInv, L[i]) + out[j] = gf2e13.Add(out[j], gf2e13.Mul(eInv, c)) + eInv = gf2e13.Mul(eInv, L[i]) } } } @@ -362,7 +362,7 @@ func bm(out *[sysT + 1]gf, s *[2 * sysT]gf) { for N := 0; N < 2*sysT; N++ { d = 0 for i := 0; i <= min(N, sysT); i++ { - d ^= gf8192.Mul(C[i], s[N-i]) + d ^= gf2e13.Mul(C[i], s[N-i]) } mne = d mne -= 1 @@ -376,9 +376,9 @@ func bm(out *[sysT + 1]gf, s *[2 * sysT]gf) { for i := 0; i <= sysT; i++ { T[i] = C[i] } - f = gf8192.Div(d, b) + f = gf2e13.Div(d, b) for i := 0; i <= sysT; i++ { - C[i] ^= gf8192.Mul(f, B[i]) & mne + C[i] ^= gf2e13.Mul(f, B[i]) & mne } L = (L & ^mle) | ((uint16(N) + 1 - L) & mle) @@ -488,16 +488,16 @@ func minimalPolynomial(out *[sysT]gf, f *[sysT]gf) bool { return false } - inv := gf8192.Inv(mat[j][j]) + inv := gf2e13.Inv(mat[j][j]) for c := 0; c <= sysT; c++ { - mat[c][j] = gf8192.Mul(mat[c][j], inv) + mat[c][j] = gf2e13.Mul(mat[c][j], inv) } for k := 0; k < sysT; k++ { if k != j { t := mat[j][k] for c := 0; c <= sysT; c++ { - mat[c][k] ^= gf8192.Mul(mat[c][j], t) + mat[c][k] ^= gf2e13.Mul(mat[c][j], t) } } } @@ -515,7 +515,7 @@ func polyMul(out *[sysT]gf, a *[sysT]gf, b *[sysT]gf) { product := [sysT*2 - 1]gf{} for i := 0; i < sysT; i++ { for j := 0; j < sysT; j++ { - product[i+j] ^= gf8192.Mul(a[i], b[j]) + product[i+j] ^= gf2e13.Mul(a[i], b[j]) } } @@ -564,8 +564,8 @@ func transpose64x64(out, in *[64]uint64) { func eval(f *[sysT + 1]gf, a gf) gf { r := f[sysT] for i := sysT - 1; i >= 0; i-- { - r = gf8192.Mul(r, a) - r = gf8192.Add(r, f[i]) + r = gf2e13.Mul(r, a) + r = gf2e13.Add(r, f[i]) } return r } diff --git a/kem/mceliece/mceliece6688128f/mceliece.go b/kem/mceliece/mceliece6688128f/mceliece.go index 4d8c0fe9f..0d004559d 100644 --- a/kem/mceliece/mceliece6688128f/mceliece.go +++ b/kem/mceliece/mceliece6688128f/mceliece.go @@ -22,13 +22,13 @@ import ( "github.com/cloudflare/circl/internal/sha3" "github.com/cloudflare/circl/kem" "github.com/cloudflare/circl/kem/mceliece/internal" - "github.com/cloudflare/circl/math/gf8192" + "github.com/cloudflare/circl/math/gf2e13" ) const ( sysT = 128 // F(y) is 64 degree - gfBits = gf8192.GfBits - gfMask = gf8192.GfMask + gfBits = gf2e13.Bits + gfMask = gf2e13.Mask unusedBits = 16 - gfBits sysN = 6688 condBytes = (1 << (gfBits - 4)) * (2*gfBits - 1) @@ -54,7 +54,7 @@ type PrivateKey struct { } type ( - gf = gf8192.Gf + gf = gf2e13.Elt randFunc = func(pool []byte) error ) @@ -332,10 +332,10 @@ func synd(out *[sysT * 2]gf, f *[sysT + 1]gf, L *[sysN]gf, r *[sysN / 8]byte) { for i := 0; i < sysN; i++ { c := uint16(r[i/8]>>(i%8)) & 1 e := eval(f, L[i]) - eInv := gf8192.Inv(gf8192.Mul(e, e)) + eInv := gf2e13.Inv(gf2e13.Mul(e, e)) for j := 0; j < 2*sysT; j++ { - out[j] = gf8192.Add(out[j], gf8192.Mul(eInv, c)) - eInv = gf8192.Mul(eInv, L[i]) + out[j] = gf2e13.Add(out[j], gf2e13.Mul(eInv, c)) + eInv = gf2e13.Mul(eInv, L[i]) } } } @@ -362,7 +362,7 @@ func bm(out *[sysT + 1]gf, s *[2 * sysT]gf) { for N := 0; N < 2*sysT; N++ { d = 0 for i := 0; i <= min(N, sysT); i++ { - d ^= gf8192.Mul(C[i], s[N-i]) + d ^= gf2e13.Mul(C[i], s[N-i]) } mne = d mne -= 1 @@ -376,9 +376,9 @@ func bm(out *[sysT + 1]gf, s *[2 * sysT]gf) { for i := 0; i <= sysT; i++ { T[i] = C[i] } - f = gf8192.Div(d, b) + f = gf2e13.Div(d, b) for i := 0; i <= sysT; i++ { - C[i] ^= gf8192.Mul(f, B[i]) & mne + C[i] ^= gf2e13.Mul(f, B[i]) & mne } L = (L & ^mle) | ((uint16(N) + 1 - L) & mle) @@ -488,16 +488,16 @@ func minimalPolynomial(out *[sysT]gf, f *[sysT]gf) bool { return false } - inv := gf8192.Inv(mat[j][j]) + inv := gf2e13.Inv(mat[j][j]) for c := 0; c <= sysT; c++ { - mat[c][j] = gf8192.Mul(mat[c][j], inv) + mat[c][j] = gf2e13.Mul(mat[c][j], inv) } for k := 0; k < sysT; k++ { if k != j { t := mat[j][k] for c := 0; c <= sysT; c++ { - mat[c][k] ^= gf8192.Mul(mat[c][j], t) + mat[c][k] ^= gf2e13.Mul(mat[c][j], t) } } } @@ -515,7 +515,7 @@ func polyMul(out *[sysT]gf, a *[sysT]gf, b *[sysT]gf) { product := [sysT*2 - 1]gf{} for i := 0; i < sysT; i++ { for j := 0; j < sysT; j++ { - product[i+j] ^= gf8192.Mul(a[i], b[j]) + product[i+j] ^= gf2e13.Mul(a[i], b[j]) } } @@ -564,8 +564,8 @@ func transpose64x64(out, in *[64]uint64) { func eval(f *[sysT + 1]gf, a gf) gf { r := f[sysT] for i := sysT - 1; i >= 0; i-- { - r = gf8192.Mul(r, a) - r = gf8192.Add(r, f[i]) + r = gf2e13.Mul(r, a) + r = gf2e13.Add(r, f[i]) } return r } diff --git a/kem/mceliece/mceliece6960119/mceliece.go b/kem/mceliece/mceliece6960119/mceliece.go index f689e971c..099e5ed50 100644 --- a/kem/mceliece/mceliece6960119/mceliece.go +++ b/kem/mceliece/mceliece6960119/mceliece.go @@ -23,13 +23,13 @@ import ( "github.com/cloudflare/circl/internal/sha3" "github.com/cloudflare/circl/kem" "github.com/cloudflare/circl/kem/mceliece/internal" - "github.com/cloudflare/circl/math/gf8192" + "github.com/cloudflare/circl/math/gf2e13" ) const ( sysT = 119 // F(y) is 64 degree - gfBits = gf8192.GfBits - gfMask = gf8192.GfMask + gfBits = gf2e13.Bits + gfMask = gf2e13.Mask unusedBits = 16 - gfBits sysN = 6960 condBytes = (1 << (gfBits - 4)) * (2*gfBits - 1) @@ -55,7 +55,7 @@ type PrivateKey struct { } type ( - gf = gf8192.Gf + gf = gf2e13.Elt randFunc = func(pool []byte) error ) @@ -322,10 +322,10 @@ func synd(out *[sysT * 2]gf, f *[sysT + 1]gf, L *[sysN]gf, r *[sysN / 8]byte) { for i := 0; i < sysN; i++ { c := uint16(r[i/8]>>(i%8)) & 1 e := eval(f, L[i]) - eInv := gf8192.Inv(gf8192.Mul(e, e)) + eInv := gf2e13.Inv(gf2e13.Mul(e, e)) for j := 0; j < 2*sysT; j++ { - out[j] = gf8192.Add(out[j], gf8192.Mul(eInv, c)) - eInv = gf8192.Mul(eInv, L[i]) + out[j] = gf2e13.Add(out[j], gf2e13.Mul(eInv, c)) + eInv = gf2e13.Mul(eInv, L[i]) } } } @@ -352,7 +352,7 @@ func bm(out *[sysT + 1]gf, s *[2 * sysT]gf) { for N := 0; N < 2*sysT; N++ { d = 0 for i := 0; i <= min(N, sysT); i++ { - d ^= gf8192.Mul(C[i], s[N-i]) + d ^= gf2e13.Mul(C[i], s[N-i]) } mne = d mne -= 1 @@ -366,9 +366,9 @@ func bm(out *[sysT + 1]gf, s *[2 * sysT]gf) { for i := 0; i <= sysT; i++ { T[i] = C[i] } - f = gf8192.Div(d, b) + f = gf2e13.Div(d, b) for i := 0; i <= sysT; i++ { - C[i] ^= gf8192.Mul(f, B[i]) & mne + C[i] ^= gf2e13.Mul(f, B[i]) & mne } L = (L & ^mle) | ((uint16(N) + 1 - L) & mle) @@ -478,16 +478,16 @@ func minimalPolynomial(out *[sysT]gf, f *[sysT]gf) bool { return false } - inv := gf8192.Inv(mat[j][j]) + inv := gf2e13.Inv(mat[j][j]) for c := 0; c <= sysT; c++ { - mat[c][j] = gf8192.Mul(mat[c][j], inv) + mat[c][j] = gf2e13.Mul(mat[c][j], inv) } for k := 0; k < sysT; k++ { if k != j { t := mat[j][k] for c := 0; c <= sysT; c++ { - mat[c][k] ^= gf8192.Mul(mat[c][j], t) + mat[c][k] ^= gf2e13.Mul(mat[c][j], t) } } } @@ -505,7 +505,7 @@ func polyMul(out *[sysT]gf, a *[sysT]gf, b *[sysT]gf) { product := [sysT*2 - 1]gf{} for i := 0; i < sysT; i++ { for j := 0; j < sysT; j++ { - product[i+j] ^= gf8192.Mul(a[i], b[j]) + product[i+j] ^= gf2e13.Mul(a[i], b[j]) } } @@ -552,8 +552,8 @@ func transpose64x64(out, in *[64]uint64) { func eval(f *[sysT + 1]gf, a gf) gf { r := f[sysT] for i := sysT - 1; i >= 0; i-- { - r = gf8192.Mul(r, a) - r = gf8192.Add(r, f[i]) + r = gf2e13.Mul(r, a) + r = gf2e13.Add(r, f[i]) } return r } diff --git a/kem/mceliece/mceliece6960119f/mceliece.go b/kem/mceliece/mceliece6960119f/mceliece.go index 21256b7e0..94e5808c0 100644 --- a/kem/mceliece/mceliece6960119f/mceliece.go +++ b/kem/mceliece/mceliece6960119f/mceliece.go @@ -23,13 +23,13 @@ import ( "github.com/cloudflare/circl/internal/sha3" "github.com/cloudflare/circl/kem" "github.com/cloudflare/circl/kem/mceliece/internal" - "github.com/cloudflare/circl/math/gf8192" + "github.com/cloudflare/circl/math/gf2e13" ) const ( sysT = 119 // F(y) is 64 degree - gfBits = gf8192.GfBits - gfMask = gf8192.GfMask + gfBits = gf2e13.Bits + gfMask = gf2e13.Mask unusedBits = 16 - gfBits sysN = 6960 condBytes = (1 << (gfBits - 4)) * (2*gfBits - 1) @@ -55,7 +55,7 @@ type PrivateKey struct { } type ( - gf = gf8192.Gf + gf = gf2e13.Elt randFunc = func(pool []byte) error ) @@ -322,10 +322,10 @@ func synd(out *[sysT * 2]gf, f *[sysT + 1]gf, L *[sysN]gf, r *[sysN / 8]byte) { for i := 0; i < sysN; i++ { c := uint16(r[i/8]>>(i%8)) & 1 e := eval(f, L[i]) - eInv := gf8192.Inv(gf8192.Mul(e, e)) + eInv := gf2e13.Inv(gf2e13.Mul(e, e)) for j := 0; j < 2*sysT; j++ { - out[j] = gf8192.Add(out[j], gf8192.Mul(eInv, c)) - eInv = gf8192.Mul(eInv, L[i]) + out[j] = gf2e13.Add(out[j], gf2e13.Mul(eInv, c)) + eInv = gf2e13.Mul(eInv, L[i]) } } } @@ -352,7 +352,7 @@ func bm(out *[sysT + 1]gf, s *[2 * sysT]gf) { for N := 0; N < 2*sysT; N++ { d = 0 for i := 0; i <= min(N, sysT); i++ { - d ^= gf8192.Mul(C[i], s[N-i]) + d ^= gf2e13.Mul(C[i], s[N-i]) } mne = d mne -= 1 @@ -366,9 +366,9 @@ func bm(out *[sysT + 1]gf, s *[2 * sysT]gf) { for i := 0; i <= sysT; i++ { T[i] = C[i] } - f = gf8192.Div(d, b) + f = gf2e13.Div(d, b) for i := 0; i <= sysT; i++ { - C[i] ^= gf8192.Mul(f, B[i]) & mne + C[i] ^= gf2e13.Mul(f, B[i]) & mne } L = (L & ^mle) | ((uint16(N) + 1 - L) & mle) @@ -478,16 +478,16 @@ func minimalPolynomial(out *[sysT]gf, f *[sysT]gf) bool { return false } - inv := gf8192.Inv(mat[j][j]) + inv := gf2e13.Inv(mat[j][j]) for c := 0; c <= sysT; c++ { - mat[c][j] = gf8192.Mul(mat[c][j], inv) + mat[c][j] = gf2e13.Mul(mat[c][j], inv) } for k := 0; k < sysT; k++ { if k != j { t := mat[j][k] for c := 0; c <= sysT; c++ { - mat[c][k] ^= gf8192.Mul(mat[c][j], t) + mat[c][k] ^= gf2e13.Mul(mat[c][j], t) } } } @@ -505,7 +505,7 @@ func polyMul(out *[sysT]gf, a *[sysT]gf, b *[sysT]gf) { product := [sysT*2 - 1]gf{} for i := 0; i < sysT; i++ { for j := 0; j < sysT; j++ { - product[i+j] ^= gf8192.Mul(a[i], b[j]) + product[i+j] ^= gf2e13.Mul(a[i], b[j]) } } @@ -552,8 +552,8 @@ func transpose64x64(out, in *[64]uint64) { func eval(f *[sysT + 1]gf, a gf) gf { r := f[sysT] for i := sysT - 1; i >= 0; i-- { - r = gf8192.Mul(r, a) - r = gf8192.Add(r, f[i]) + r = gf2e13.Mul(r, a) + r = gf2e13.Add(r, f[i]) } return r } diff --git a/kem/mceliece/mceliece8192128/mceliece.go b/kem/mceliece/mceliece8192128/mceliece.go index 19835f31e..6b1c39329 100644 --- a/kem/mceliece/mceliece8192128/mceliece.go +++ b/kem/mceliece/mceliece8192128/mceliece.go @@ -22,13 +22,13 @@ import ( "github.com/cloudflare/circl/internal/sha3" "github.com/cloudflare/circl/kem" "github.com/cloudflare/circl/kem/mceliece/internal" - "github.com/cloudflare/circl/math/gf8192" + "github.com/cloudflare/circl/math/gf2e13" ) const ( sysT = 128 // F(y) is 64 degree - gfBits = gf8192.GfBits - gfMask = gf8192.GfMask + gfBits = gf2e13.Bits + gfMask = gf2e13.Mask unusedBits = 16 - gfBits sysN = 8192 condBytes = (1 << (gfBits - 4)) * (2*gfBits - 1) @@ -54,7 +54,7 @@ type PrivateKey struct { } type ( - gf = gf8192.Gf + gf = gf2e13.Elt randFunc = func(pool []byte) error ) @@ -313,10 +313,10 @@ func synd(out *[sysT * 2]gf, f *[sysT + 1]gf, L *[sysN]gf, r *[sysN / 8]byte) { for i := 0; i < sysN; i++ { c := uint16(r[i/8]>>(i%8)) & 1 e := eval(f, L[i]) - eInv := gf8192.Inv(gf8192.Mul(e, e)) + eInv := gf2e13.Inv(gf2e13.Mul(e, e)) for j := 0; j < 2*sysT; j++ { - out[j] = gf8192.Add(out[j], gf8192.Mul(eInv, c)) - eInv = gf8192.Mul(eInv, L[i]) + out[j] = gf2e13.Add(out[j], gf2e13.Mul(eInv, c)) + eInv = gf2e13.Mul(eInv, L[i]) } } } @@ -343,7 +343,7 @@ func bm(out *[sysT + 1]gf, s *[2 * sysT]gf) { for N := 0; N < 2*sysT; N++ { d = 0 for i := 0; i <= min(N, sysT); i++ { - d ^= gf8192.Mul(C[i], s[N-i]) + d ^= gf2e13.Mul(C[i], s[N-i]) } mne = d mne -= 1 @@ -357,9 +357,9 @@ func bm(out *[sysT + 1]gf, s *[2 * sysT]gf) { for i := 0; i <= sysT; i++ { T[i] = C[i] } - f = gf8192.Div(d, b) + f = gf2e13.Div(d, b) for i := 0; i <= sysT; i++ { - C[i] ^= gf8192.Mul(f, B[i]) & mne + C[i] ^= gf2e13.Mul(f, B[i]) & mne } L = (L & ^mle) | ((uint16(N) + 1 - L) & mle) @@ -469,16 +469,16 @@ func minimalPolynomial(out *[sysT]gf, f *[sysT]gf) bool { return false } - inv := gf8192.Inv(mat[j][j]) + inv := gf2e13.Inv(mat[j][j]) for c := 0; c <= sysT; c++ { - mat[c][j] = gf8192.Mul(mat[c][j], inv) + mat[c][j] = gf2e13.Mul(mat[c][j], inv) } for k := 0; k < sysT; k++ { if k != j { t := mat[j][k] for c := 0; c <= sysT; c++ { - mat[c][k] ^= gf8192.Mul(mat[c][j], t) + mat[c][k] ^= gf2e13.Mul(mat[c][j], t) } } } @@ -496,7 +496,7 @@ func polyMul(out *[sysT]gf, a *[sysT]gf, b *[sysT]gf) { product := [sysT*2 - 1]gf{} for i := 0; i < sysT; i++ { for j := 0; j < sysT; j++ { - product[i+j] ^= gf8192.Mul(a[i], b[j]) + product[i+j] ^= gf2e13.Mul(a[i], b[j]) } } @@ -545,8 +545,8 @@ func transpose64x64(out, in *[64]uint64) { func eval(f *[sysT + 1]gf, a gf) gf { r := f[sysT] for i := sysT - 1; i >= 0; i-- { - r = gf8192.Mul(r, a) - r = gf8192.Add(r, f[i]) + r = gf2e13.Mul(r, a) + r = gf2e13.Add(r, f[i]) } return r } diff --git a/kem/mceliece/mceliece8192128f/mceliece.go b/kem/mceliece/mceliece8192128f/mceliece.go index f5447a851..3e7926368 100644 --- a/kem/mceliece/mceliece8192128f/mceliece.go +++ b/kem/mceliece/mceliece8192128f/mceliece.go @@ -22,13 +22,13 @@ import ( "github.com/cloudflare/circl/internal/sha3" "github.com/cloudflare/circl/kem" "github.com/cloudflare/circl/kem/mceliece/internal" - "github.com/cloudflare/circl/math/gf8192" + "github.com/cloudflare/circl/math/gf2e13" ) const ( sysT = 128 // F(y) is 64 degree - gfBits = gf8192.GfBits - gfMask = gf8192.GfMask + gfBits = gf2e13.Bits + gfMask = gf2e13.Mask unusedBits = 16 - gfBits sysN = 8192 condBytes = (1 << (gfBits - 4)) * (2*gfBits - 1) @@ -54,7 +54,7 @@ type PrivateKey struct { } type ( - gf = gf8192.Gf + gf = gf2e13.Elt randFunc = func(pool []byte) error ) @@ -313,10 +313,10 @@ func synd(out *[sysT * 2]gf, f *[sysT + 1]gf, L *[sysN]gf, r *[sysN / 8]byte) { for i := 0; i < sysN; i++ { c := uint16(r[i/8]>>(i%8)) & 1 e := eval(f, L[i]) - eInv := gf8192.Inv(gf8192.Mul(e, e)) + eInv := gf2e13.Inv(gf2e13.Mul(e, e)) for j := 0; j < 2*sysT; j++ { - out[j] = gf8192.Add(out[j], gf8192.Mul(eInv, c)) - eInv = gf8192.Mul(eInv, L[i]) + out[j] = gf2e13.Add(out[j], gf2e13.Mul(eInv, c)) + eInv = gf2e13.Mul(eInv, L[i]) } } } @@ -343,7 +343,7 @@ func bm(out *[sysT + 1]gf, s *[2 * sysT]gf) { for N := 0; N < 2*sysT; N++ { d = 0 for i := 0; i <= min(N, sysT); i++ { - d ^= gf8192.Mul(C[i], s[N-i]) + d ^= gf2e13.Mul(C[i], s[N-i]) } mne = d mne -= 1 @@ -357,9 +357,9 @@ func bm(out *[sysT + 1]gf, s *[2 * sysT]gf) { for i := 0; i <= sysT; i++ { T[i] = C[i] } - f = gf8192.Div(d, b) + f = gf2e13.Div(d, b) for i := 0; i <= sysT; i++ { - C[i] ^= gf8192.Mul(f, B[i]) & mne + C[i] ^= gf2e13.Mul(f, B[i]) & mne } L = (L & ^mle) | ((uint16(N) + 1 - L) & mle) @@ -469,16 +469,16 @@ func minimalPolynomial(out *[sysT]gf, f *[sysT]gf) bool { return false } - inv := gf8192.Inv(mat[j][j]) + inv := gf2e13.Inv(mat[j][j]) for c := 0; c <= sysT; c++ { - mat[c][j] = gf8192.Mul(mat[c][j], inv) + mat[c][j] = gf2e13.Mul(mat[c][j], inv) } for k := 0; k < sysT; k++ { if k != j { t := mat[j][k] for c := 0; c <= sysT; c++ { - mat[c][k] ^= gf8192.Mul(mat[c][j], t) + mat[c][k] ^= gf2e13.Mul(mat[c][j], t) } } } @@ -496,7 +496,7 @@ func polyMul(out *[sysT]gf, a *[sysT]gf, b *[sysT]gf) { product := [sysT*2 - 1]gf{} for i := 0; i < sysT; i++ { for j := 0; j < sysT; j++ { - product[i+j] ^= gf8192.Mul(a[i], b[j]) + product[i+j] ^= gf2e13.Mul(a[i], b[j]) } } @@ -545,8 +545,8 @@ func transpose64x64(out, in *[64]uint64) { func eval(f *[sysT + 1]gf, a gf) gf { r := f[sysT] for i := sysT - 1; i >= 0; i-- { - r = gf8192.Mul(r, a) - r = gf8192.Add(r, f[i]) + r = gf2e13.Mul(r, a) + r = gf2e13.Add(r, f[i]) } return r } diff --git a/kem/mceliece/templates/mceliece.templ.go b/kem/mceliece/templates/mceliece.templ.go index fdbf7a0c5..efb9ba2b9 100644 --- a/kem/mceliece/templates/mceliece.templ.go +++ b/kem/mceliece/templates/mceliece.templ.go @@ -32,8 +32,8 @@ import ( const ( sysT = {{.Param.SysT}}// F(y) is 64 degree - gfBits = {{.Param.Gf}}.GfBits - gfMask = {{.Param.Gf}}.GfMask + gfBits = {{.Param.Gf}}.Bits + gfMask = {{.Param.Gf}}.Mask unusedBits = 16 - gfBits sysN = {{.Param.SysN}} condBytes = (1 << (gfBits - 4)) * (2*gfBits - 1) @@ -59,7 +59,7 @@ type PrivateKey struct { } type ( - gf = {{.Param.Gf}}.Gf + gf = {{.Param.Gf}}.Elt randFunc = func(pool []byte) error ) diff --git a/math/gf4096/gf4096.go b/math/gf2e12/gf4096.go similarity index 64% rename from math/gf4096/gf4096.go rename to math/gf2e12/gf4096.go index bc4b9db35..1832eca0e 100644 --- a/math/gf4096/gf4096.go +++ b/math/gf2e12/gf4096.go @@ -1,22 +1,22 @@ -// Package gf4096 provides finite field arithmetic over GF(2^12). -package gf4096 +// Package gf2e12 provides finite field arithmetic over GF(2^12). +package gf2e12 -// Gf is a field element of characteristic 2 modulo z^12 + z^3 + 1 -type Gf = uint16 +// Elt is a field element of characteristic 2 modulo z^12 + z^3 + 1 +type Elt = uint16 const ( - GfBits = 12 - GfMask = (1 << GfBits) - 1 + Bits = 12 + Mask = (1 << Bits) - 1 ) -// Add two Gf elements together. Since an addition in Gf(2) is the same as XOR, +// Add two Elt elements together. Since an addition in Elt(2) is the same as XOR, // this implementation uses a simple XOR for addition. -func Add(a, b Gf) Gf { +func Add(a, b Elt) Elt { return a ^ b } -// Mul calculate the product of two Gf elements. -func Mul(a, b Gf) Gf { +// Mul calculate the product of two Elt elements. +func Mul(a, b Elt) Elt { a64 := uint64(a) b64 := uint64(b) @@ -24,7 +24,7 @@ func Mul(a, b Gf) Gf { tmp := a64 & -(b64 & 1) // check if i-th bit of b64 is set, add a64 shifted by i bits if so - for i := 1; i < GfBits; i++ { + for i := 1; i < Bits; i++ { tmp ^= a64 * (b64 & (1 << i)) } @@ -37,11 +37,11 @@ func Mul(a, b Gf) Gf { tmp ^= t >> 9 tmp ^= t >> 12 - return uint16(tmp & GfMask) + return Elt(tmp & Mask) } -// sqr calculates the square of Gf element a -func sqr(a Gf) Gf { +// sqr calculates the square of Elt element a +func sqr(a Elt) Elt { a32 := uint32(a) a32 = (a32 | (a32 << 8)) & 0x00FF00FF a32 = (a32 | (a32 << 4)) & 0x0F0F0F0F @@ -56,11 +56,11 @@ func sqr(a Gf) Gf { a32 ^= t >> 9 a32 ^= t >> 12 - return uint16(a32 & GfMask) + return uint16(a32 & Mask) } -// Inv calculates the multiplicative inverse of Gf element a -func Inv(a Gf) Gf { +// Inv calculates the multiplicative inverse of Elt element a +func Inv(a Elt) Elt { out := sqr(a) tmp3 := Mul(out, a) // a^3 @@ -78,6 +78,6 @@ func Inv(a Gf) Gf { } // Div calculates a / b -func Div(a, b Gf) Gf { +func Div(a, b Elt) Elt { return Mul(Inv(b), a) } diff --git a/math/gf4096/gf_test.go b/math/gf2e12/gf_test.go similarity index 75% rename from math/gf4096/gf_test.go rename to math/gf2e12/gf_test.go index 0bdadaeba..bef164b7a 100644 --- a/math/gf4096/gf_test.go +++ b/math/gf2e12/gf_test.go @@ -1,4 +1,4 @@ -package gf4096 +package gf2e12 import ( "testing" @@ -7,16 +7,17 @@ import ( ) type ( - tadd func(x, y Gf) Gf - tmul func(x, y Gf) Gf - tsqr func(x Gf) Gf - tinv func(x Gf) Gf - tdiv func(x, y Gf) Gf + tadd func(x, y Elt) Elt + tmul func(x, y Elt) Elt + tsqr func(x Elt) Elt + tinv func(x Elt) Elt + tdiv func(x, y Elt) Elt ) -func assertEq(t *testing.T, a, b Gf) { +func assertEq(t *testing.T, a, b Elt) { + t.Helper() if a != b { - test.ReportError(t, b, a) + test.ReportError(t, a, b) } } @@ -29,14 +30,10 @@ func TestGeneric(t *testing.T) { } func testDiv(t *testing.T, div tdiv) { - assertEq(t, div(6733, 1), 2637) assertEq(t, div(0, 2), 0) assertEq(t, div(4, 2), 2) - assertEq(t, div(4096, 2), 0) assertEq(t, div(9, 3), 7) - assertEq(t, div(4591, 5), 99) assertEq(t, div(10, 550), 3344) - assertEq(t, div(3, 5501), 1763) } func testInv(t *testing.T, inv tinv) { @@ -46,10 +43,6 @@ func testInv(t *testing.T, inv tinv) { assertEq(t, inv(3), 4088) assertEq(t, inv(4), 1026) assertEq(t, inv(4095), 1539) - assertEq(t, inv(4096), 0) - assertEq(t, inv(8191), 1539) - assertEq(t, inv(8192), 0) - assertEq(t, inv(0xFFFF), 1539) } func testSqr(t *testing.T, sqr tsqr) { @@ -59,10 +52,6 @@ func testSqr(t *testing.T, sqr tsqr) { assertEq(t, sqr(3), 5) assertEq(t, sqr(4), 16) assertEq(t, sqr(4095), 2746) - assertEq(t, sqr(4096), 0) - assertEq(t, sqr(8191), 2746) - assertEq(t, sqr(8192), 0) - assertEq(t, sqr(0xFFFF), 2746) } func testMul(t *testing.T, mul tmul) { @@ -83,8 +72,6 @@ func testMul(t *testing.T, mul tmul) { assertEq(t, mul(37, 125), 3625) assertEq(t, mul(4095, 1), 4095) assertEq(t, mul(1, 4095), 4095) - assertEq(t, mul(8191, 1), 4086) - assertEq(t, mul(1, 8191), 4095) assertEq(t, mul(550, 3344), 10) assertEq(t, mul(3344, 550), 10) } diff --git a/math/gf8192/gf8192.go b/math/gf2e13/gf8192.go similarity index 79% rename from math/gf8192/gf8192.go rename to math/gf2e13/gf8192.go index 0a7d94ec7..10ddfab8c 100644 --- a/math/gf8192/gf8192.go +++ b/math/gf2e13/gf8192.go @@ -1,22 +1,22 @@ -// Package gf8192 provides finite field arithmetic over GF(2^13). -package gf8192 +// Package gf2e13 provides finite field arithmetic over GF(2^13). +package gf2e13 -// Gf is a field element of characteristic 2 modulo z^13 + z^4 + z^3 + z + 1 -type Gf = uint16 +// Elt is a field element of characteristic 2 modulo z^13 + z^4 + z^3 + z + 1 +type Elt = uint16 const ( - GfBits = 13 - GfMask = (1 << GfBits) - 1 + Bits = 13 + Mask = (1 << Bits) - 1 ) -// Add two Gf elements together. Since an addition in Gf(2) is the same as XOR, +// Add two Elt elements together. Since an addition in Elt(2) is the same as XOR, // this implementation uses a simple XOR for addition. -func Add(a, b Gf) Gf { +func Add(a, b Elt) Elt { return a ^ b } -// Mul calculate the product of two Gf elements. -func Mul(a, b Gf) Gf { +// Mul calculate the product of two Elt elements. +func Mul(a, b Elt) Elt { a64 := uint64(a) b64 := uint64(b) @@ -24,7 +24,7 @@ func Mul(a, b Gf) Gf { tmp := a64 & -(b64 & 1) // check if i-th bit of b64 is set, add a64 shifted by i bits if so - for i := 1; i < GfBits; i++ { + for i := 1; i < Bits; i++ { tmp ^= a64 * (b64 & (1 << i)) } @@ -35,11 +35,11 @@ func Mul(a, b Gf) Gf { t = tmp & 0x000E000 tmp ^= (t >> 9) ^ (t >> 10) ^ (t >> 12) ^ (t >> 13) - return uint16(tmp & GfMask) + return uint16(tmp & Mask) } // sqr2 calculates a^4 -func sqr2(a Gf) Gf { +func sqr2(a Elt) Elt { a64 := uint64(a) a64 = (a64 | (a64 << 24)) & 0x000000FF000000FF a64 = (a64 | (a64 << 12)) & 0x000F000F000F000F @@ -55,11 +55,11 @@ func sqr2(a Gf) Gf { t = a64 & 0x00000000003FE000 a64 ^= (t >> 9) ^ (t >> 10) ^ (t >> 12) ^ (t >> 13) - return uint16(a64 & GfMask) + return uint16(a64 & Mask) } // sqrMul calculates the product of a^2 and b -func sqrMul(a, b Gf) Gf { +func sqrMul(a, b Elt) Elt { a64 := uint64(a) b64 := uint64(b) @@ -79,11 +79,11 @@ func sqrMul(a, b Gf) Gf { t = x & 0x000000000007E000 x ^= (t >> 9) ^ (t >> 10) ^ (t >> 12) ^ (t >> 13) - return uint16(x & GfMask) + return uint16(x & Mask) } // sqr2Mul calculates the product of a^4 and b -func sqr2Mul(a, b Gf) Gf { +func sqr2Mul(a, b Elt) Elt { a64 := uint64(a) b64 := uint64(b) @@ -109,16 +109,16 @@ func sqr2Mul(a, b Gf) Gf { t = x & 0x000000000001E000 x ^= (t >> 9) ^ (t >> 10) ^ (t >> 12) ^ (t >> 13) - return uint16(x & GfMask) + return uint16(x & Mask) } -// Inv calculates the multiplicative inverse of Gf element a -func Inv(a Gf) Gf { +// Inv calculates the multiplicative inverse of Elt element a +func Inv(a Elt) Elt { return Div(1, a) } // Div calculates a / b -func Div(a, b Gf) Gf { +func Div(a, b Elt) Elt { tmp3 := sqrMul(b, b) // b^3 tmp15 := sqr2Mul(tmp3, tmp3) // b^15 = b^(3*2*2+3) out := sqr2(tmp15) diff --git a/math/gf8192/gf_test.go b/math/gf2e13/gf_test.go similarity index 91% rename from math/gf8192/gf_test.go rename to math/gf2e13/gf_test.go index 375e4156a..16758a0d5 100644 --- a/math/gf8192/gf_test.go +++ b/math/gf2e13/gf_test.go @@ -1,4 +1,4 @@ -package gf8192 +package gf2e13 import ( "testing" @@ -7,16 +7,17 @@ import ( ) type ( - tadd func(x, y Gf) Gf - tmul func(x, y Gf) Gf - tsqr2 func(x Gf) Gf - tsqrmul func(x, y Gf) Gf - tsqr2mul func(x, y Gf) Gf - tinv func(x Gf) Gf - tdiv func(x, y Gf) Gf + tadd func(x, y Elt) Elt + tmul func(x, y Elt) Elt + tsqr2 func(x Elt) Elt + tsqrmul func(x, y Elt) Elt + tsqr2mul func(x, y Elt) Elt + tinv func(x Elt) Elt + tdiv func(x, y Elt) Elt ) -func assertEq(t *testing.T, a, b Gf) { +func assertEq(t *testing.T, a, b Elt) { + t.Helper() if a != b { test.ReportError(t, b, a) } @@ -96,8 +97,6 @@ func testInv(t *testing.T, inv tinv) { assertEq(t, inv(4095), 4657) assertEq(t, inv(4096), 911) assertEq(t, inv(8191), 5953) - assertEq(t, inv(8192), 0) - assertEq(t, inv(0xFFFF), 4378) } func testSqr2(t *testing.T, sqr2 tsqr2) { @@ -109,8 +108,6 @@ func testSqr2(t *testing.T, sqr2 tsqr2) { assertEq(t, sqr2(4095), 2883) assertEq(t, sqr2(4096), 7941) assertEq(t, sqr2(8191), 5190) - assertEq(t, sqr2(8192), 0) - assertEq(t, sqr2(0xFFFF), 5190) } func testMul(t *testing.T, mul tmul) { From 7dfc396c96830ed3601ace705e1612b9bcc447f9 Mon Sep 17 00:00:00 2001 From: octeep Date: Fri, 9 Jun 2023 03:59:22 +0100 Subject: [PATCH 14/14] Update comment to reference round 4 instead of round 3 NIST submission --- kem/mceliece/mceliece348864/fft.go | 2 +- kem/mceliece/mceliece348864/mceliece.go | 2 +- kem/mceliece/mceliece348864/pk_gen.go | 2 +- kem/mceliece/mceliece348864/vec.go | 2 +- kem/mceliece/mceliece348864f/fft.go | 2 +- kem/mceliece/mceliece348864f/mceliece.go | 2 +- kem/mceliece/mceliece348864f/pk_gen.go | 2 +- kem/mceliece/mceliece348864f/vec.go | 2 +- kem/mceliece/mceliece460896/fft.go | 2 +- kem/mceliece/mceliece460896/mceliece.go | 2 +- kem/mceliece/mceliece460896/pk_gen.go | 2 +- kem/mceliece/mceliece460896/vec.go | 2 +- kem/mceliece/mceliece460896f/fft.go | 2 +- kem/mceliece/mceliece460896f/mceliece.go | 2 +- kem/mceliece/mceliece460896f/pk_gen.go | 2 +- kem/mceliece/mceliece460896f/vec.go | 2 +- kem/mceliece/mceliece6688128/fft.go | 2 +- kem/mceliece/mceliece6688128/mceliece.go | 2 +- kem/mceliece/mceliece6688128/pk_gen.go | 2 +- kem/mceliece/mceliece6688128/vec.go | 2 +- kem/mceliece/mceliece6688128f/fft.go | 2 +- kem/mceliece/mceliece6688128f/mceliece.go | 2 +- kem/mceliece/mceliece6688128f/pk_gen.go | 2 +- kem/mceliece/mceliece6688128f/vec.go | 2 +- kem/mceliece/mceliece6960119/fft.go | 2 +- kem/mceliece/mceliece6960119/mceliece.go | 2 +- kem/mceliece/mceliece6960119/pk_gen.go | 2 +- kem/mceliece/mceliece6960119/vec.go | 2 +- kem/mceliece/mceliece6960119f/fft.go | 2 +- kem/mceliece/mceliece6960119f/mceliece.go | 2 +- kem/mceliece/mceliece6960119f/pk_gen.go | 2 +- kem/mceliece/mceliece6960119f/vec.go | 2 +- kem/mceliece/mceliece8192128/fft.go | 2 +- kem/mceliece/mceliece8192128/mceliece.go | 2 +- kem/mceliece/mceliece8192128/pk_gen.go | 2 +- kem/mceliece/mceliece8192128/vec.go | 2 +- kem/mceliece/mceliece8192128f/fft.go | 2 +- kem/mceliece/mceliece8192128f/mceliece.go | 2 +- kem/mceliece/mceliece8192128f/pk_gen.go | 2 +- kem/mceliece/mceliece8192128f/vec.go | 2 +- kem/mceliece/templates/fft_348864.templ.go | 2 +- kem/mceliece/templates/fft_other.templ.go | 2 +- kem/mceliece/templates/mceliece.templ.go | 2 +- kem/mceliece/templates/pk_gen_vec.templ.go | 2 +- kem/mceliece/templates/vec.templ.go | 2 +- 45 files changed, 45 insertions(+), 45 deletions(-) diff --git a/kem/mceliece/mceliece348864/fft.go b/kem/mceliece/mceliece348864/fft.go index bfe117fde..4099eb723 100644 --- a/kem/mceliece/mceliece348864/fft.go +++ b/kem/mceliece/mceliece348864/fft.go @@ -1,7 +1,7 @@ // Code generated from fft_348864.templ.go. DO NOT EDIT. // The following code is translated from the C `vec` Additional Implementation -// from the NIST round 3 submission package. +// from the NIST round 4 submission package. package mceliece348864 diff --git a/kem/mceliece/mceliece348864/mceliece.go b/kem/mceliece/mceliece348864/mceliece.go index 431071449..6f12604e7 100644 --- a/kem/mceliece/mceliece348864/mceliece.go +++ b/kem/mceliece/mceliece348864/mceliece.go @@ -1,7 +1,7 @@ // Code generated from mceliece.templ.go. DO NOT EDIT. // Package mceliece348864 implements the IND-CCA2 secure key encapsulation mechanism -// mceliece348864 as submitted to round 3 of the NIST PQC competition and +// mceliece348864 as submitted to round 4 of the NIST PQC competition and // described in // // https://classic.mceliece.org/nist/mceliece-20201010.pdf diff --git a/kem/mceliece/mceliece348864/pk_gen.go b/kem/mceliece/mceliece348864/pk_gen.go index 5a6315eff..88ee6aaa8 100644 --- a/kem/mceliece/mceliece348864/pk_gen.go +++ b/kem/mceliece/mceliece348864/pk_gen.go @@ -1,7 +1,7 @@ // Code generated from pk_gen_vec.templ.go. DO NOT EDIT. // The following code is translated from the C `vec` Additional Implementation -// from the NIST round 3 submission package. +// from the NIST round 4 submission package. package mceliece348864 diff --git a/kem/mceliece/mceliece348864/vec.go b/kem/mceliece/mceliece348864/vec.go index 3c7b9ee10..1771d4067 100644 --- a/kem/mceliece/mceliece348864/vec.go +++ b/kem/mceliece/mceliece348864/vec.go @@ -1,7 +1,7 @@ // Code generated from vec.templ.go. DO NOT EDIT. // The following code is translated from the C `vec` Additional Implementation -// from the NIST round 3 submission package. +// from the NIST round 4 submission package. package mceliece348864 diff --git a/kem/mceliece/mceliece348864f/fft.go b/kem/mceliece/mceliece348864f/fft.go index bc2660d09..97668204b 100644 --- a/kem/mceliece/mceliece348864f/fft.go +++ b/kem/mceliece/mceliece348864f/fft.go @@ -1,7 +1,7 @@ // Code generated from fft_348864.templ.go. DO NOT EDIT. // The following code is translated from the C `vec` Additional Implementation -// from the NIST round 3 submission package. +// from the NIST round 4 submission package. package mceliece348864f diff --git a/kem/mceliece/mceliece348864f/mceliece.go b/kem/mceliece/mceliece348864f/mceliece.go index 01dc2beb3..6e444bf4f 100644 --- a/kem/mceliece/mceliece348864f/mceliece.go +++ b/kem/mceliece/mceliece348864f/mceliece.go @@ -1,7 +1,7 @@ // Code generated from mceliece.templ.go. DO NOT EDIT. // Package mceliece348864f implements the IND-CCA2 secure key encapsulation mechanism -// mceliece348864f as submitted to round 3 of the NIST PQC competition and +// mceliece348864f as submitted to round 4 of the NIST PQC competition and // described in // // https://classic.mceliece.org/nist/mceliece-20201010.pdf diff --git a/kem/mceliece/mceliece348864f/pk_gen.go b/kem/mceliece/mceliece348864f/pk_gen.go index 375caafa0..238ab382a 100644 --- a/kem/mceliece/mceliece348864f/pk_gen.go +++ b/kem/mceliece/mceliece348864f/pk_gen.go @@ -1,7 +1,7 @@ // Code generated from pk_gen_vec.templ.go. DO NOT EDIT. // The following code is translated from the C `vec` Additional Implementation -// from the NIST round 3 submission package. +// from the NIST round 4 submission package. package mceliece348864f diff --git a/kem/mceliece/mceliece348864f/vec.go b/kem/mceliece/mceliece348864f/vec.go index b15f5ce40..209ffe029 100644 --- a/kem/mceliece/mceliece348864f/vec.go +++ b/kem/mceliece/mceliece348864f/vec.go @@ -1,7 +1,7 @@ // Code generated from vec.templ.go. DO NOT EDIT. // The following code is translated from the C `vec` Additional Implementation -// from the NIST round 3 submission package. +// from the NIST round 4 submission package. package mceliece348864f diff --git a/kem/mceliece/mceliece460896/fft.go b/kem/mceliece/mceliece460896/fft.go index eea2a39be..84a82578c 100644 --- a/kem/mceliece/mceliece460896/fft.go +++ b/kem/mceliece/mceliece460896/fft.go @@ -1,7 +1,7 @@ // Code generated from fft_other.templ.go. DO NOT EDIT. // The following code is translated from the C `vec` Additional Implementation -// from the NIST round 3 submission package. +// from the NIST round 4 submission package. package mceliece460896 diff --git a/kem/mceliece/mceliece460896/mceliece.go b/kem/mceliece/mceliece460896/mceliece.go index 662c63b78..45b3e52b5 100644 --- a/kem/mceliece/mceliece460896/mceliece.go +++ b/kem/mceliece/mceliece460896/mceliece.go @@ -1,7 +1,7 @@ // Code generated from mceliece.templ.go. DO NOT EDIT. // Package mceliece460896 implements the IND-CCA2 secure key encapsulation mechanism -// mceliece460896 as submitted to round 3 of the NIST PQC competition and +// mceliece460896 as submitted to round 4 of the NIST PQC competition and // described in // // https://classic.mceliece.org/nist/mceliece-20201010.pdf diff --git a/kem/mceliece/mceliece460896/pk_gen.go b/kem/mceliece/mceliece460896/pk_gen.go index e01440584..5edab06e2 100644 --- a/kem/mceliece/mceliece460896/pk_gen.go +++ b/kem/mceliece/mceliece460896/pk_gen.go @@ -1,7 +1,7 @@ // Code generated from pk_gen_vec.templ.go. DO NOT EDIT. // The following code is translated from the C `vec` Additional Implementation -// from the NIST round 3 submission package. +// from the NIST round 4 submission package. package mceliece460896 diff --git a/kem/mceliece/mceliece460896/vec.go b/kem/mceliece/mceliece460896/vec.go index f8da44774..d9153ddc3 100644 --- a/kem/mceliece/mceliece460896/vec.go +++ b/kem/mceliece/mceliece460896/vec.go @@ -1,7 +1,7 @@ // Code generated from vec.templ.go. DO NOT EDIT. // The following code is translated from the C `vec` Additional Implementation -// from the NIST round 3 submission package. +// from the NIST round 4 submission package. package mceliece460896 diff --git a/kem/mceliece/mceliece460896f/fft.go b/kem/mceliece/mceliece460896f/fft.go index 1f0d951bf..8550814b0 100644 --- a/kem/mceliece/mceliece460896f/fft.go +++ b/kem/mceliece/mceliece460896f/fft.go @@ -1,7 +1,7 @@ // Code generated from fft_other.templ.go. DO NOT EDIT. // The following code is translated from the C `vec` Additional Implementation -// from the NIST round 3 submission package. +// from the NIST round 4 submission package. package mceliece460896f diff --git a/kem/mceliece/mceliece460896f/mceliece.go b/kem/mceliece/mceliece460896f/mceliece.go index bc9f0d2aa..dcb585909 100644 --- a/kem/mceliece/mceliece460896f/mceliece.go +++ b/kem/mceliece/mceliece460896f/mceliece.go @@ -1,7 +1,7 @@ // Code generated from mceliece.templ.go. DO NOT EDIT. // Package mceliece460896f implements the IND-CCA2 secure key encapsulation mechanism -// mceliece460896f as submitted to round 3 of the NIST PQC competition and +// mceliece460896f as submitted to round 4 of the NIST PQC competition and // described in // // https://classic.mceliece.org/nist/mceliece-20201010.pdf diff --git a/kem/mceliece/mceliece460896f/pk_gen.go b/kem/mceliece/mceliece460896f/pk_gen.go index 7632b9d4b..3e048ac79 100644 --- a/kem/mceliece/mceliece460896f/pk_gen.go +++ b/kem/mceliece/mceliece460896f/pk_gen.go @@ -1,7 +1,7 @@ // Code generated from pk_gen_vec.templ.go. DO NOT EDIT. // The following code is translated from the C `vec` Additional Implementation -// from the NIST round 3 submission package. +// from the NIST round 4 submission package. package mceliece460896f diff --git a/kem/mceliece/mceliece460896f/vec.go b/kem/mceliece/mceliece460896f/vec.go index 39458da88..3c7d265a6 100644 --- a/kem/mceliece/mceliece460896f/vec.go +++ b/kem/mceliece/mceliece460896f/vec.go @@ -1,7 +1,7 @@ // Code generated from vec.templ.go. DO NOT EDIT. // The following code is translated from the C `vec` Additional Implementation -// from the NIST round 3 submission package. +// from the NIST round 4 submission package. package mceliece460896f diff --git a/kem/mceliece/mceliece6688128/fft.go b/kem/mceliece/mceliece6688128/fft.go index 8d1b5bff6..3d76cf852 100644 --- a/kem/mceliece/mceliece6688128/fft.go +++ b/kem/mceliece/mceliece6688128/fft.go @@ -1,7 +1,7 @@ // Code generated from fft_other.templ.go. DO NOT EDIT. // The following code is translated from the C `vec` Additional Implementation -// from the NIST round 3 submission package. +// from the NIST round 4 submission package. package mceliece6688128 diff --git a/kem/mceliece/mceliece6688128/mceliece.go b/kem/mceliece/mceliece6688128/mceliece.go index 9fc1491cc..af8b7f1b5 100644 --- a/kem/mceliece/mceliece6688128/mceliece.go +++ b/kem/mceliece/mceliece6688128/mceliece.go @@ -1,7 +1,7 @@ // Code generated from mceliece.templ.go. DO NOT EDIT. // Package mceliece6688128 implements the IND-CCA2 secure key encapsulation mechanism -// mceliece6688128 as submitted to round 3 of the NIST PQC competition and +// mceliece6688128 as submitted to round 4 of the NIST PQC competition and // described in // // https://classic.mceliece.org/nist/mceliece-20201010.pdf diff --git a/kem/mceliece/mceliece6688128/pk_gen.go b/kem/mceliece/mceliece6688128/pk_gen.go index a4d5c2502..4e06f4046 100644 --- a/kem/mceliece/mceliece6688128/pk_gen.go +++ b/kem/mceliece/mceliece6688128/pk_gen.go @@ -1,7 +1,7 @@ // Code generated from pk_gen_vec.templ.go. DO NOT EDIT. // The following code is translated from the C `vec` Additional Implementation -// from the NIST round 3 submission package. +// from the NIST round 4 submission package. package mceliece6688128 diff --git a/kem/mceliece/mceliece6688128/vec.go b/kem/mceliece/mceliece6688128/vec.go index bb5e7a11c..743373406 100644 --- a/kem/mceliece/mceliece6688128/vec.go +++ b/kem/mceliece/mceliece6688128/vec.go @@ -1,7 +1,7 @@ // Code generated from vec.templ.go. DO NOT EDIT. // The following code is translated from the C `vec` Additional Implementation -// from the NIST round 3 submission package. +// from the NIST round 4 submission package. package mceliece6688128 diff --git a/kem/mceliece/mceliece6688128f/fft.go b/kem/mceliece/mceliece6688128f/fft.go index 56167de16..9f72ee1ac 100644 --- a/kem/mceliece/mceliece6688128f/fft.go +++ b/kem/mceliece/mceliece6688128f/fft.go @@ -1,7 +1,7 @@ // Code generated from fft_other.templ.go. DO NOT EDIT. // The following code is translated from the C `vec` Additional Implementation -// from the NIST round 3 submission package. +// from the NIST round 4 submission package. package mceliece6688128f diff --git a/kem/mceliece/mceliece6688128f/mceliece.go b/kem/mceliece/mceliece6688128f/mceliece.go index 0d004559d..a03e0fc9f 100644 --- a/kem/mceliece/mceliece6688128f/mceliece.go +++ b/kem/mceliece/mceliece6688128f/mceliece.go @@ -1,7 +1,7 @@ // Code generated from mceliece.templ.go. DO NOT EDIT. // Package mceliece6688128f implements the IND-CCA2 secure key encapsulation mechanism -// mceliece6688128f as submitted to round 3 of the NIST PQC competition and +// mceliece6688128f as submitted to round 4 of the NIST PQC competition and // described in // // https://classic.mceliece.org/nist/mceliece-20201010.pdf diff --git a/kem/mceliece/mceliece6688128f/pk_gen.go b/kem/mceliece/mceliece6688128f/pk_gen.go index e66f58175..f1a0aae8b 100644 --- a/kem/mceliece/mceliece6688128f/pk_gen.go +++ b/kem/mceliece/mceliece6688128f/pk_gen.go @@ -1,7 +1,7 @@ // Code generated from pk_gen_vec.templ.go. DO NOT EDIT. // The following code is translated from the C `vec` Additional Implementation -// from the NIST round 3 submission package. +// from the NIST round 4 submission package. package mceliece6688128f diff --git a/kem/mceliece/mceliece6688128f/vec.go b/kem/mceliece/mceliece6688128f/vec.go index 1c591d0bf..ff5381343 100644 --- a/kem/mceliece/mceliece6688128f/vec.go +++ b/kem/mceliece/mceliece6688128f/vec.go @@ -1,7 +1,7 @@ // Code generated from vec.templ.go. DO NOT EDIT. // The following code is translated from the C `vec` Additional Implementation -// from the NIST round 3 submission package. +// from the NIST round 4 submission package. package mceliece6688128f diff --git a/kem/mceliece/mceliece6960119/fft.go b/kem/mceliece/mceliece6960119/fft.go index adb6a5426..97b046ec9 100644 --- a/kem/mceliece/mceliece6960119/fft.go +++ b/kem/mceliece/mceliece6960119/fft.go @@ -1,7 +1,7 @@ // Code generated from fft_other.templ.go. DO NOT EDIT. // The following code is translated from the C `vec` Additional Implementation -// from the NIST round 3 submission package. +// from the NIST round 4 submission package. package mceliece6960119 diff --git a/kem/mceliece/mceliece6960119/mceliece.go b/kem/mceliece/mceliece6960119/mceliece.go index 099e5ed50..8d5cfcfcd 100644 --- a/kem/mceliece/mceliece6960119/mceliece.go +++ b/kem/mceliece/mceliece6960119/mceliece.go @@ -1,7 +1,7 @@ // Code generated from mceliece.templ.go. DO NOT EDIT. // Package mceliece6960119 implements the IND-CCA2 secure key encapsulation mechanism -// mceliece6960119 as submitted to round 3 of the NIST PQC competition and +// mceliece6960119 as submitted to round 4 of the NIST PQC competition and // described in // // https://classic.mceliece.org/nist/mceliece-20201010.pdf diff --git a/kem/mceliece/mceliece6960119/pk_gen.go b/kem/mceliece/mceliece6960119/pk_gen.go index 23dd914f4..5f0e1e09e 100644 --- a/kem/mceliece/mceliece6960119/pk_gen.go +++ b/kem/mceliece/mceliece6960119/pk_gen.go @@ -1,7 +1,7 @@ // Code generated from pk_gen_vec.templ.go. DO NOT EDIT. // The following code is translated from the C `vec` Additional Implementation -// from the NIST round 3 submission package. +// from the NIST round 4 submission package. package mceliece6960119 diff --git a/kem/mceliece/mceliece6960119/vec.go b/kem/mceliece/mceliece6960119/vec.go index 918e3f278..da79d4457 100644 --- a/kem/mceliece/mceliece6960119/vec.go +++ b/kem/mceliece/mceliece6960119/vec.go @@ -1,7 +1,7 @@ // Code generated from vec.templ.go. DO NOT EDIT. // The following code is translated from the C `vec` Additional Implementation -// from the NIST round 3 submission package. +// from the NIST round 4 submission package. package mceliece6960119 diff --git a/kem/mceliece/mceliece6960119f/fft.go b/kem/mceliece/mceliece6960119f/fft.go index d4b8b9594..677b99bf7 100644 --- a/kem/mceliece/mceliece6960119f/fft.go +++ b/kem/mceliece/mceliece6960119f/fft.go @@ -1,7 +1,7 @@ // Code generated from fft_other.templ.go. DO NOT EDIT. // The following code is translated from the C `vec` Additional Implementation -// from the NIST round 3 submission package. +// from the NIST round 4 submission package. package mceliece6960119f diff --git a/kem/mceliece/mceliece6960119f/mceliece.go b/kem/mceliece/mceliece6960119f/mceliece.go index 94e5808c0..666b723d4 100644 --- a/kem/mceliece/mceliece6960119f/mceliece.go +++ b/kem/mceliece/mceliece6960119f/mceliece.go @@ -1,7 +1,7 @@ // Code generated from mceliece.templ.go. DO NOT EDIT. // Package mceliece6960119f implements the IND-CCA2 secure key encapsulation mechanism -// mceliece6960119f as submitted to round 3 of the NIST PQC competition and +// mceliece6960119f as submitted to round 4 of the NIST PQC competition and // described in // // https://classic.mceliece.org/nist/mceliece-20201010.pdf diff --git a/kem/mceliece/mceliece6960119f/pk_gen.go b/kem/mceliece/mceliece6960119f/pk_gen.go index 48a07e3d6..737739b46 100644 --- a/kem/mceliece/mceliece6960119f/pk_gen.go +++ b/kem/mceliece/mceliece6960119f/pk_gen.go @@ -1,7 +1,7 @@ // Code generated from pk_gen_vec.templ.go. DO NOT EDIT. // The following code is translated from the C `vec` Additional Implementation -// from the NIST round 3 submission package. +// from the NIST round 4 submission package. package mceliece6960119f diff --git a/kem/mceliece/mceliece6960119f/vec.go b/kem/mceliece/mceliece6960119f/vec.go index 6a510cac7..1c5ce5f92 100644 --- a/kem/mceliece/mceliece6960119f/vec.go +++ b/kem/mceliece/mceliece6960119f/vec.go @@ -1,7 +1,7 @@ // Code generated from vec.templ.go. DO NOT EDIT. // The following code is translated from the C `vec` Additional Implementation -// from the NIST round 3 submission package. +// from the NIST round 4 submission package. package mceliece6960119f diff --git a/kem/mceliece/mceliece8192128/fft.go b/kem/mceliece/mceliece8192128/fft.go index c1cb8c548..fdb00e7d3 100644 --- a/kem/mceliece/mceliece8192128/fft.go +++ b/kem/mceliece/mceliece8192128/fft.go @@ -1,7 +1,7 @@ // Code generated from fft_other.templ.go. DO NOT EDIT. // The following code is translated from the C `vec` Additional Implementation -// from the NIST round 3 submission package. +// from the NIST round 4 submission package. package mceliece8192128 diff --git a/kem/mceliece/mceliece8192128/mceliece.go b/kem/mceliece/mceliece8192128/mceliece.go index 6b1c39329..70a18519c 100644 --- a/kem/mceliece/mceliece8192128/mceliece.go +++ b/kem/mceliece/mceliece8192128/mceliece.go @@ -1,7 +1,7 @@ // Code generated from mceliece.templ.go. DO NOT EDIT. // Package mceliece8192128 implements the IND-CCA2 secure key encapsulation mechanism -// mceliece8192128 as submitted to round 3 of the NIST PQC competition and +// mceliece8192128 as submitted to round 4 of the NIST PQC competition and // described in // // https://classic.mceliece.org/nist/mceliece-20201010.pdf diff --git a/kem/mceliece/mceliece8192128/pk_gen.go b/kem/mceliece/mceliece8192128/pk_gen.go index 38caf2254..24612d994 100644 --- a/kem/mceliece/mceliece8192128/pk_gen.go +++ b/kem/mceliece/mceliece8192128/pk_gen.go @@ -1,7 +1,7 @@ // Code generated from pk_gen_vec.templ.go. DO NOT EDIT. // The following code is translated from the C `vec` Additional Implementation -// from the NIST round 3 submission package. +// from the NIST round 4 submission package. package mceliece8192128 diff --git a/kem/mceliece/mceliece8192128/vec.go b/kem/mceliece/mceliece8192128/vec.go index c53497ec2..901630cb5 100644 --- a/kem/mceliece/mceliece8192128/vec.go +++ b/kem/mceliece/mceliece8192128/vec.go @@ -1,7 +1,7 @@ // Code generated from vec.templ.go. DO NOT EDIT. // The following code is translated from the C `vec` Additional Implementation -// from the NIST round 3 submission package. +// from the NIST round 4 submission package. package mceliece8192128 diff --git a/kem/mceliece/mceliece8192128f/fft.go b/kem/mceliece/mceliece8192128f/fft.go index 1632b97a6..95e45ac54 100644 --- a/kem/mceliece/mceliece8192128f/fft.go +++ b/kem/mceliece/mceliece8192128f/fft.go @@ -1,7 +1,7 @@ // Code generated from fft_other.templ.go. DO NOT EDIT. // The following code is translated from the C `vec` Additional Implementation -// from the NIST round 3 submission package. +// from the NIST round 4 submission package. package mceliece8192128f diff --git a/kem/mceliece/mceliece8192128f/mceliece.go b/kem/mceliece/mceliece8192128f/mceliece.go index 3e7926368..7203b56dd 100644 --- a/kem/mceliece/mceliece8192128f/mceliece.go +++ b/kem/mceliece/mceliece8192128f/mceliece.go @@ -1,7 +1,7 @@ // Code generated from mceliece.templ.go. DO NOT EDIT. // Package mceliece8192128f implements the IND-CCA2 secure key encapsulation mechanism -// mceliece8192128f as submitted to round 3 of the NIST PQC competition and +// mceliece8192128f as submitted to round 4 of the NIST PQC competition and // described in // // https://classic.mceliece.org/nist/mceliece-20201010.pdf diff --git a/kem/mceliece/mceliece8192128f/pk_gen.go b/kem/mceliece/mceliece8192128f/pk_gen.go index fc13bd209..2af05122e 100644 --- a/kem/mceliece/mceliece8192128f/pk_gen.go +++ b/kem/mceliece/mceliece8192128f/pk_gen.go @@ -1,7 +1,7 @@ // Code generated from pk_gen_vec.templ.go. DO NOT EDIT. // The following code is translated from the C `vec` Additional Implementation -// from the NIST round 3 submission package. +// from the NIST round 4 submission package. package mceliece8192128f diff --git a/kem/mceliece/mceliece8192128f/vec.go b/kem/mceliece/mceliece8192128f/vec.go index f66051d1a..3f95b744e 100644 --- a/kem/mceliece/mceliece8192128f/vec.go +++ b/kem/mceliece/mceliece8192128f/vec.go @@ -1,7 +1,7 @@ // Code generated from vec.templ.go. DO NOT EDIT. // The following code is translated from the C `vec` Additional Implementation -// from the NIST round 3 submission package. +// from the NIST round 4 submission package. package mceliece8192128f diff --git a/kem/mceliece/templates/fft_348864.templ.go b/kem/mceliece/templates/fft_348864.templ.go index 4c34f9c5b..b69e4fc29 100644 --- a/kem/mceliece/templates/fft_348864.templ.go +++ b/kem/mceliece/templates/fft_348864.templ.go @@ -5,7 +5,7 @@ // Code generated from fft_348864.templ.go. DO NOT EDIT. // The following code is translated from the C `vec` Additional Implementation -// from the NIST round 3 submission package. +// from the NIST round 4 submission package. package {{.Pkg}} diff --git a/kem/mceliece/templates/fft_other.templ.go b/kem/mceliece/templates/fft_other.templ.go index 82e397603..c54c1f390 100644 --- a/kem/mceliece/templates/fft_other.templ.go +++ b/kem/mceliece/templates/fft_other.templ.go @@ -5,7 +5,7 @@ // Code generated from fft_other.templ.go. DO NOT EDIT. // The following code is translated from the C `vec` Additional Implementation -// from the NIST round 3 submission package. +// from the NIST round 4 submission package. package {{.Pkg}} diff --git a/kem/mceliece/templates/mceliece.templ.go b/kem/mceliece/templates/mceliece.templ.go index efb9ba2b9..e308ac5c9 100644 --- a/kem/mceliece/templates/mceliece.templ.go +++ b/kem/mceliece/templates/mceliece.templ.go @@ -5,7 +5,7 @@ // Code generated from mceliece.templ.go. DO NOT EDIT. // Package {{.Pkg}} implements the IND-CCA2 secure key encapsulation mechanism -// {{.Pkg}} as submitted to round 3 of the NIST PQC competition and +// {{.Pkg}} as submitted to round 4 of the NIST PQC competition and // described in // // https://classic.mceliece.org/nist/mceliece-20201010.pdf diff --git a/kem/mceliece/templates/pk_gen_vec.templ.go b/kem/mceliece/templates/pk_gen_vec.templ.go index a0773c2d1..cdf8685dc 100644 --- a/kem/mceliece/templates/pk_gen_vec.templ.go +++ b/kem/mceliece/templates/pk_gen_vec.templ.go @@ -5,7 +5,7 @@ // Code generated from pk_gen_vec.templ.go. DO NOT EDIT. // The following code is translated from the C `vec` Additional Implementation -// from the NIST round 3 submission package. +// from the NIST round 4 submission package. package {{.Pkg}} diff --git a/kem/mceliece/templates/vec.templ.go b/kem/mceliece/templates/vec.templ.go index df7a05f9d..681012574 100644 --- a/kem/mceliece/templates/vec.templ.go +++ b/kem/mceliece/templates/vec.templ.go @@ -5,7 +5,7 @@ // Code generated from vec.templ.go. DO NOT EDIT. // The following code is translated from the C `vec` Additional Implementation -// from the NIST round 3 submission package. +// from the NIST round 4 submission package. package {{.Pkg}}