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<!DOCTYPE html>
<html>
<head>
<meta http-equiv="Content-Type" content="text/html; charset=utf-8" />
<meta name="viewport" content="width=device-width, initial-scale=1">
<meta name="citation_language" content="en" />
<meta name="citation_author" content="Victor V. Albert" />
<meta name="citation_author" content="Philippe Faist" />
<meta name="citation_title" content="The Error Correction Zoo" />
<meta name="citation_publication_date" content="2023" />
<meta name="citation_date" content="2023" />
<!--<meta name="citation_doi" content="10.zzzz/wwwwww"/>-->
<meta name="DC.title" content="The Error Correction Zoo" />
<meta name="DC.author" content="Victor V. Albert"/>
<meta name="DC.author" content="Philippe Faist"/>
<meta name="DC.issued" content="2023" />
<title>
Code lists — Error Correction Zoo
</title>
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window.ecz_baseurl = '/';
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src="/js/misc.js">
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id="bodycontents"
class=" "
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<a id="logo" href="/"></a>
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<main id="main">
<h1>List of code lists</h1>
<ul>
<li><p><a href="/list/ag">Algebraic-geometry codes </a></p></li>
<li><p><a href="/list/approximate_qecc">Approximate quantum codes </a></p></li>
<li><p><a href="/list/binary_linear">Binary linear codes </a></p></li>
<li><p><a href="/list/css">Quantum CSS codes </a></p></li>
<li><p><a href="/list/decoders">Codes with notable decoders </a></p></li>
<li><p><a href="/list/dynamic_gen">Dynamically generated quantum codes </a></p></li>
<li><p><a href="/list/evaluation">Evaluation codes </a></p></li>
<li><p><a href="/list/good_qldpc">Asymptotically good QLDPC codes </a></p></li>
<li><p><a href="/list/hamiltonian">Hamiltonian-based codes </a></p></li>
<li><p><a href="/list/holographic">Holographic codes </a></p></li>
<li><p><a href="/list/homological">Quantum codes based on homological products </a></p></li>
<li><p><a href="/list/ldpc">LDPC codes </a></p></li>
<li><p><a href="/list/mds">MDS codes </a></p></li>
<li><p><a href="/list/perfect">Perfect codes </a></p></li>
<li><p><a href="/list/q-ary_linear"><span class="inline-math">\(q\)</span>-ary linear codes </a></p></li>
<li><p><a href="/list/qldpc">Quantum LDPC codes </a></p></li>
<li><p><a href="/list/quantum_code_cap_threshold">Quantum codes with code capacity thresholds </a></p></li>
<li><p><a href="/list/quantum_fault_tolerance">Quantum codes with fault-tolerant gadgets </a></p></li>
<li><p><a href="/list/quantum_magic">Quantum codes with magic-state distillation scaling exponents </a></p></li>
<li><p><a href="/list/quantum_mds">Quantum MDS codes </a></p></li>
<li><p><a href="/list/quantum_perfect">Perfect quantum codes </a></p></li>
<li><p><a href="/list/quantum_surface">Surface code and friends </a></p></li>
<li><p><a href="/list/quantum_threshold">Quantum codes with other thresholds </a></p></li>
<li><p><a href="/list/quantum_transversal">Quantum codes with transversal gates </a></p></li>
<li><p><a href="/list/quantum_with_rate">Quantum codes with a rate </a></p></li>
<li><p><a href="/list/realizations">Codes with applications </a></p></li>
<li><p><a href="/list/single">Small-distance stabilizer codes </a></p></li>
<li><p><a href="/list/stabilizer">Stabilizer codes </a></p></li>
<li><p><a href="/list/subsystem">Subsystem codes </a></p></li>
<li><p><a href="/list/topological">Topological codes </a></p></li>
<li><p><a href="/all">Index of all codes </a></p></li>
</ul>
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<ul class="navlinks"><li><a href="/">Home</a></li><li><a href="/code_graph">Code graph</a></li><li><a href="/lists">Code lists</a></li><li><a href="/concepts">Concepts Glossary</a></li><li><a href="/search">Search</a></li></ul><h1><a href="/domain/classical_domain">Classical Domain</a></h1><ul class="navlinks"><li><a href="/kingdom/bits_into_bits">Binary Kingdom</a></li><li><a href="/kingdom/q-ary_digits_into_q-ary_digits">Galois-field Kingdom</a></li><li><a href="/kingdom/matrices_into_matrices">Matrix Kingdom</a></li><li><a href="/kingdom/analog">Analog Kingdom</a></li><li><a href="/kingdom/points_into_spheres">Spherical Kingdom</a></li><li><a href="/kingdom/rings_into_rings">Ring Kingdom</a></li><li><a href="/kingdom/group_classical">Group Kingdom</a></li></ul><h1><a href="/domain/quantum_domain">Quantum Domain</a></h1><ul class="navlinks"><li><a href="/kingdom/qubits_into_qubits">Qubit Kingdom</a></li><li><a href="/kingdom/qudits_into_qudits">Modular-qudit Kingdom</a></li><li><a href="/kingdom/galois_into_galois">Galois-qudit Kingdom</a></li><li><a href="/kingdom/oscillators">Bosonic Kingdom</a></li><li><a href="/kingdom/spins_into_spins">Spin Kingdom</a></li><li><a href="/kingdom/group_quantum">Group Kingdom</a></li><li><a href="/kingdom/category_quantum">Category Kingdom</a></li></ul><h1><a href="/domain/quantum_into_classical_domain">Classical-quantum Domain</a></h1><ul class="navlinks"><li><a href="/kingdom/qubit_classical_into_quantum">Binary c-q Kingdom</a></li><li><a href="/kingdom/bosonic_classical_into_quantum">Bosonic/analog c-q Kingdom</a></li></ul><h1></h1><ul class="navlinks"><li><a href="/edit_code">Add new code</a></li><!--<li><a href="/additional_resources">Additional resources</a></li>--><li><a href="/team">Team</a></li><li><a href="/about">About</a></li></ul>
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<a href="/about">Error correction zoo</a>
by Victor V. Albert, Philippe Faist, and
<a href="/team">many contributors</a>.
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