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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>
Home — Error Correction Zoo
</title>
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<link rel="apple-touch-icon" sizes="180x180" href="/apple-touch-icon.png">
<link rel="icon" type="image/png" sizes="32x32" href="/favicon-32x32.png">
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<link type="text/css" rel="stylesheet" href="/css/main.css" />
<script type="text/javascript">
window.ecz_baseurl = '/';
</script>
<script type="text/javascript" async
src="/js/misc.js">
</script>
<script type="text/javascript" src="/js/mathjaxinit.js" async>
</script>
<script type="text/javascript" async src="/js/eczhomestuff.js"></script>
</head>
<body>
<div
id="bodycontents"
class="page-index page-wide-layout page-no-navigation page-header-has-text "
>
<div id="header-bg-decoration"></div>
<a id="logo" href="/"></a>
<header id="header"><h1>Welcome to the error correction zoo!</h1></header>
<main id="main">
<nav class="page-index-box">
<ul class="page-index-box-links">
<li><span class="page-index-box-links-head">Jump to ▸ </span></li><li><a href="/c/binary_linear">Linear binary</a></li>, <li><a href="/c/q-ary_additive">Additive <span class="inline-math">\(q\)</span>-ary</a></li>, <li><a href="/c/reed_solomon">RS</a></li>, <li><a href="/c/reed_muller">RM</a></li>, <li><a href="/c/ldpc">LDPC</a></li>, <li><a href="/c/polar">Polar</a></li>, <li><a href="/c/rank_metric">Rank-metric</a></li>, <li><a href="/c/spacetime">STC</a></li>, <li><a href="/c/stabilizer">Stabilizer</a></li>, <li><a href="/c/css">CSS</a></li>, <li><a href="/c/good_qldpc">Good QLDPC</a></li>, <li><a href="/c/surface">Kitaev surface</a></li>, <li><a href="/c/color">Color</a></li>, <li><a href="/c/topological">Topological</a></li>, <li><a href="/c/holographic">Holographic</a></li>, <li><a href="/c/eaqecc">EAQECC</a></li>, <li><a href="/c/gkp">GKP</a></li>, <li><a href="/c/cat">Cat</a></li> </li>
<li class="page-index-box-links-thin-separator"></li>
</ul>
<ul class="page-index-box-links">
<li><a href="/domain/classical_domain"
class="page-index-box-links-head">Classical Domain ▸ </a></li><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><ul class="page-index-box-links">
<li><a href="/domain/quantum_domain"
class="page-index-box-links-head">Quantum Domain ▸ </a></li><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><ul class="page-index-box-links">
<li><a href="/domain/quantum_into_classical_domain"
class="page-index-box-links-head">Classical-quantum Domain ▸ </a></li><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></nav>
<nav class="page-index-box">
<ul class="page-index-box-links">
<li><a href="/lists"
class="page-index-box-links-head">Code lists ▸ </a><a href="/list/ag">Algebraic-geometry codes</a>, <a href="/list/approximate_qecc">Approximate quantum codes</a>, <a href="/list/binary_linear">Binary linear codes</a>, <a href="/list/css">Quantum CSS codes</a>, <a href="/list/decoders">Codes with notable decoders</a>, <a href="/list/dynamic_gen">Dynamically generated quantum codes</a>, <a href="/list/evaluation">Evaluation codes</a>, <a href="/list/good_qldpc">Asymptotically good QLDPC codes</a>, <a href="/list/hamiltonian">Hamiltonian-based codes</a>, <a href="/list/holographic">Holographic codes</a>, <a href="/list/homological">Quantum codes based on homological products</a>, <a href="/list/ldpc">LDPC codes</a>, <a href="/list/mds">MDS codes</a>, <a href="/list/perfect">Perfect codes</a>, <a href="/list/q-ary_linear"><span class="inline-math">\(q\)</span>-ary linear codes</a>, <a href="/list/qldpc">Quantum LDPC codes</a> … (<a href="/lists">see all</a>)</li>
</ul>
</nav>
<nav class="page-index-box">
<h1><a href="/">Home Page</a></h1>
<ul class="navlinks">
<li><a href="/code_graph">Code graph</a></li>
<li><a href="/lists">Code lists</a></li>
<li><a href="/all">All codes</a></li>
<li><a href="/concepts">Glossary of concepts</a></li>
<!--<li><a href="/search">Search</a></li>-->
<li>
<form action="/search" method="GET">
<input type="text" class="navbar-search" name="q" placeholder="search"></input>
</form>
</li>
</ul>
<h1>More</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>
</nav>
<nav class="page-index-box page-index-box-span-2" id="random-code-box">
<span style="font-style:italic">(Random code loading …)</span>
</nav>
<nav class="page-index-box" id="quick-stats-box">
Stats at a glance:
<span class="stat-number">445</span> code entries,
<span class="stat-number">16</span> kingdoms,
<span class="stat-number">3</span> domains,
<span class="stat-number">216</span> classical codes,
<span class="stat-number">215</span> quantum codes,
<span class="stat-number">9</span> c-q codes,
<span class="stat-number">33</span> topological codes,
<span class="stat-number">32</span> quantum LDPC codes,
<span class="stat-number">9</span> dynamically generated codes,
<span class="stat-number">58</span> CSS codes,
and
<span class="stat-number">36</span> bosonic codes.
</nav>
</main><!-- #main -->
<footer id="footer">
<div class="footer-stuff">
<a href="/about">Error correction zoo</a>
by Victor V. Albert, Philippe Faist, and
<a href="/team">many contributors</a>.
<!--<a rel="license" href="http://creativecommons.org/licenses/by-sa/4.0/"><img alt="Creative Commons License" style="border-width:0" src="https://i.creativecommons.org/l/by-sa/4.0/80x15.png" /></a><br />-->
This work is licensed under a <a rel="license" target="_blank" href="http://creativecommons.org/licenses/by-sa/4.0/">CC-BY-SA License</a>.
See <a target="_blank" href="https://github.com/errorcorrectionzoo/eczoo_data/blob/main/CONTRIBUTING.md">how to contribute</a>. </div>
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