Here are a gigantic list of all the codes, sorted alphabetically, that were included in the error correction zoo.
  1. 120-cell code
  2. 24-cell code
  3. 2T-qutrit code
  4. 3D subsystem surface code
  5. 3D surface code
  6. 600-cell code
  7. Abelian TQD stabilizer code
  8. Abelian quantum double stabilizer code
  9. Abelian topological code
  10. Accumulate-repeat-accumulate (ARA) code
  11. Additive \(q\)-ary code
  12. Alamouti code
  13. Algebraic LDPC code
  14. Algebraic-geometry (AG) code
  15. Alternant code
  16. Analog stabilizer code
  17. Analog surface code
  18. Annealing-based spherical code
  19. Anticode
  20. Antipode lattice code
  21. Approximate quantum error-correcting code (AQECC)
  22. Approximate secret-sharing code
  23. Array-based LDPC (AB-LDPC) code
  24. Availability code
  25. B-code
  26. BPSK c-q code
  27. Bacon-Shor code
  28. Balanced code
  29. Balanced product (BP) code
  30. Barnes-Wall (BW) lattice code
  31. Batch code
  32. Ben-Sasson-Goldreich-Harsha-Sudan-Vadhan (BGHSV) code
  33. Ben-Sasson-Sudan code
  34. Ben-Sasson-Sudan-Vadhan-Wigderson (BSVW) code
  35. Best \((10,40,4)\) code
  36. Binary BCH code
  37. Binary PSK (BPSK) code
  38. Binary Varshamov-Tenengolts (VT) code
  39. Binary antipodal code
  40. Binary balanced spherical code
  41. Binary code
  42. Binary duadic code
  43. Binary group-orbit code
  44. Binary linear LTC
  45. Binary permutation-based code
  46. Binary quadratic-residue (QR) code
  47. Binary quantum Goppa code
  48. Binomial code
  49. Biorthogonal spherical code
  50. Block LDPC (B-LDPC) code
  51. Block code
  52. Block quantum code
  53. Body-centered cubic (bcc) lattice code
  54. Bose–Chaudhuri–Hocquenghem (BCH) code
  55. Bosonic c-q code
  56. Bosonic code
  57. Bosonic rotation code
  58. Bosonic stabilizer code
  59. Bounded-energy code
  60. Braunstein five-mode code
  61. Bravyi-Bacon-Shor (BBS) code
  62. Bring's code
  63. Calderbank-Shor-Steane (CSS) stabilizer code
  64. Cameron-Goethals-Seidel (CGS) isotropic subspace code
  65. Cartier code
  66. Cat code
  67. Category-based quantum code
  68. Chebyshev code
  69. Chiral semion subsystem code
  70. Chuang-Leung-Yamamoto (CLY) code
  71. Classical Goppa code
  72. Classical-product code
  73. Classical-quantum (c-q) code
  74. Clifford code
  75. Clifford subgroup-orbit QSC
  76. Clifford-deformed surface code (CDSC)
  77. Cluster-state code
  78. Codeword stabilized (CWS) code
  79. Coherent FSK (CFSK) c-q code
  80. Coherent-state constellation code
  81. Color code
  82. Combinatorial design code
  83. Commuting-projector code
  84. Complete-intersection RM-type code
  85. Concatenated code
  86. Concatenated quantum code
  87. Conference code
  88. Constant-energy code
  89. Constant-excitation (CE) code
  90. Constant-weight code
  91. Construction-\(A\) code
  92. Convolutional code
  93. Covariant code
  94. Covering code
  95. Coxeter-Todd \(K_{12}\) lattice code
  96. Crystalline-circuit qubit code
  97. Cubeoctahedron code
  98. Cycle LDPC code
  99. Cyclic code
  100. Cyclic linear \(q\)-ary code
  101. Cyclic linear binary code
  102. Cyclic quantum code
  103. Deligne-Lusztig code
  104. Denniston code
  105. Difference-set cyclic (DSC) code
  106. Dihedral \(G=D_m\) quantum-double code
  107. Dinur code
  108. Dinur-Hsieh-Lin-Vidick (DHLV) code
  109. Disk array code
  110. Disphenoidal 288-cell code
  111. Distance-balanced code
  112. Distributed-storage code
  113. Divisible code
  114. Dodecacode
  115. Double-semion stabilizer code
  116. Doubled color code
  117. Dual additive code
  118. Dual code over \(R\)
  119. Dual lattice code
  120. Dual linear code
  121. Dual-rail quantum code
  122. Dynamically-generated QECC
  123. EA analog stabilizer code
  124. EA qubit stabilizer code
  125. Eigenstate thermalization hypothesis (ETH) code
  126. Elliptic code
  127. Entanglement-assisted (EA) QECC
  128. Entanglement-assisted (EA) operator QECC
  129. Entanglement-assisted hybrid classical-quantum (EACQ) code
  130. Error-corrected sensing code
  131. Error-correcting code (ECC)
  132. Evaluation AG code
  133. Evaluation code
  134. Expander LP code
  135. Expander code
  136. Extended GRS code
  137. Extended Hamming code
  138. Extended IRA (eIRA) code
  139. Fermionic code
  140. Fiber-bundle code
  141. Fibonacci code
  142. Fibonacci string-net code
  143. Finite-dimensional error-correcting code (ECC)
  144. Finite-dimensional quantum error-correcting code
  145. Finite-geometry LDPC (FG-LDPC) code
  146. Five-qubit perfect code
  147. Five-rotor code
  148. Flag-variety code
  149. Floquet code
  150. Floquet color code
  151. Fock-state bosonic code
  152. Folded RS (FRS) code
  153. Folded quantum Reed-Solomon (FQRS) code
  154. Fountain code
  155. Fractal liquid code
  156. Fractal surface code
  157. Fracton code
  158. Freedman-Meyer-Luo code
  159. Frequency-shift keying (FSK) code
  160. Frobenius code
  161. Fusion-based quantum computing (FBQC) code
  162. GKP cluster-state code
  163. GKP-stabilizer code
  164. GNU permutation-invariant code
  165. Gabidulin code
  166. Gallager (GL) code
  167. Galois-field \(q\)-ary code
  168. Galois-qudit BCH code
  169. Galois-qudit CSS code
  170. Galois-qudit GRS code
  171. Galois-qudit RS code
  172. Galois-qudit code
  173. Galois-qudit non-stabilizer code
  174. Galois-qudit stabilizer code
  175. Galois-qudit topological code
  176. Generalized Gallager code
  177. Generalized RM (GRM) code
  178. Generalized RS (GRS) code
  179. Generalized bicycle (GB) code
  180. Generalized color code
  181. Generalized concatenated code
  182. Generalized homological-product CSS code
  183. Generalized homological-product code
  184. Generalized surface code
  185. Golay code
  186. Gold code
  187. Golden code
  188. Goldreich-Sudan code
  189. Good QLDPC code
  190. Gottesman-Kitaev-Preskill (GKP) code
  191. Graph homology code
  192. Grassmannian code
  193. Gray code
  194. Griesmer code
  195. Group GKP code
  196. Group-algebra code
  197. Group-alphabet code
  198. Group-based quantum code
  199. Group-orbit code
  200. Groupoid toric code
  201. Guth-Lubotzky code
  202. Haah cubic code
  203. Haar-random qubit code
  204. Hadamard code
  205. Hamiltonian-based code
  206. Hamming code
  207. Hansen toric code
  208. Heavy-hexagon code
  209. Hemicubic code
  210. Hermitian code
  211. Hermitian-hypersurface code
  212. Hessian QSC
  213. Hessian polyhedron code
  214. Hexacode
  215. Hexagonal GKP code
  216. Hierarchical code
  217. High-dimensional expander (HDX) code
  218. Hill projective-cap code
  219. Holographic code
  220. Homological bosonic code
  221. Homological product code
  222. Homological rotor code
  223. Honeycomb Floquet code
  224. Hsu-Anastasopoulos LDPC (HA-LDPC) code
  225. Hybrid qudit-oscillator code
  226. Hyperbolic surface code
  227. Hypergraph product (HGP) code
  228. Hyperoval code
  229. Hypersphere product code
  230. Icosahedron code
  231. Identifiable parent property (IPP) code
  232. Incidence-matrix projective code
  233. Interleaved RS (IRS) code
  234. Irregular LDPC code
  235. Irregular repeat-accumulate (IRA) code
  236. Julin-Golay code
  237. Justesen code
  238. Kitaev chain code
  239. Kitaev current-mirror qubit code
  240. Kitaev honeycomb code
  241. Kitaev surface code
  242. Klein-quartic code
  243. Kopparty-Meir-Ron-Zewi-Saraf (KMRS) code
  244. LDPC convolutional code (LDPC-CC)
  245. Laminated spherical code
  246. Landau-level spin code
  247. Lattice-based code
  248. Lattice-shell code
  249. Lazebnik-Ustimenko (LU) code
  250. Left-right Cayley complex code
  251. Levenshtein code
  252. Lifted-product (LP) code
  253. Linear \(q\)-ary code
  254. Linear binary code
  255. Linear code over \(G\)
  256. Lloyd-Slotine nine-mode code
  257. Local Haar-random circuit qubit code
  258. Locally decodable code (LDC)
  259. Locally recoverable code (LRC)
  260. Locally testable code (LTC)
  261. Long code
  262. Lossless expander balanced-product code
  263. Low-density generator-matrix (LDGM) code
  264. Low-density parity-check (LDPC) code
  265. Low-depth random Clifford-circuit qubit code
  266. Low-rank parity-check (LRPC) code
  267. Luby transform (LT) code
  268. MacKay-Neal LDPC (MN-LDPC) code
  269. Majorana stabilizer code
  270. Margulis LDPC code
  271. Matching code
  272. Matrix computation code
  273. Matrix-based code
  274. Matrix-model code
  275. Matrix-product code
  276. Matrix-product state (MPS) code
  277. Maximum distance separable (MDS) code
  278. Maximum-rank distance (MRD) code
  279. Meir code
  280. Melas code
  281. Metrological code
  282. Minimum-bandwidth regenerating (MBR) code
  283. Minimum-storage regenerating (MSR) code
  284. Modular-qudit CSS code
  285. Modular-qudit code
  286. Modular-qudit stabilizer code
  287. Modular-qudit surface code
  288. Modulation scheme
  289. Molecular code
  290. Monitored random-circuit code
  291. Movassagh-Ouyang Hamiltonian code
  292. Multi-channel group-orbit code
  293. Multi-edge LDPC code
  294. Multi-fusion string-net code
  295. NTRU-GKP code
  296. Nearly perfect code
  297. Newman-Moore code
  298. Niemeier lattice code
  299. Niset-Andersen-Cerf code
  300. Nonlinear AG code
  301. Number-phase code
  302. Numerically optimized code
  303. Octacode
  304. On-off keyed (OOK) c-q code
  305. One-hot code
  306. One-hot quantum code
  307. Operator-algebra error-correcting code
  308. Orthogonal Spacetime Block Code (OSTBC)
  309. Oscillator-into-oscillator code
  310. Ouyang-Chao constant-excitation permutation-invariant code
  311. Ovoid code
  312. PPM c-q code
  313. PSK c-q code
  314. Pair-cat code
  315. Parallel concatenated code
  316. Parallel-recovery code
  317. Parvaresh-Vardy (PV) code
  318. Pastawski-Yoshida-Harlow-Preskill (HaPPY) code
  319. Perfect binary code
  320. Perfect code
  321. Perfect quantum code
  322. Permutation spherical code
  323. Permutation-invariant code
  324. Phase-shift keying (PSK) code
  325. Plane-curve code
  326. Pless symmetry code
  327. Polar c-q code
  328. Polar code
  329. Polygon code
  330. Polynomial evaluation code
  331. Polyphase code
  332. Polytope code
  333. Projective RM (PRM) code
  334. Projective geometry code
  335. Projective two-weight code
  336. Projective-plane surface code
  337. Protograph LDPC code
  338. Pulse-amplitude modulation (PAM) code
  339. Pulse-position modulation (PPM) code
  340. Quadrature PSK (QPSK) code
  341. Quadrature-amplitude modulation (QAM) code
  342. Quadric code
  343. Quantum Lego code
  344. Quantum Reed-Muller code
  345. Quantum Reed-Solomon code
  346. Quantum Tanner code
  347. Quantum check-product code
  348. Quantum code
  349. Quantum convolutional code
  350. Quantum divisible code
  351. Quantum error-correcting code (QECC)
  352. Quantum expander code
  353. Quantum lattice code
  354. Quantum locally testable code (QLTC)
  355. Quantum low-density parity-check (QLDPC) code
  356. Quantum maximum-distance-separable (MDS) code
  357. Quantum parity code (QPC)
  358. Quantum polar code
  359. Quantum quasi-cyclic code
  360. Quantum repetition code
  361. Quantum spatially coupled (SC-QLDPC) code
  362. Quantum spherical code (QSC)
  363. Quantum-double code
  364. Quasi-cyclic LDPC (QC-LDPC) code
  365. Quasi-cyclic code
  366. Quasi-perfect code
  367. Quaternary code over \(\mathbb{Z}_4\)
  368. Qubit BCH code
  369. Qubit CSS code
  370. Qubit c-q code
  371. Qubit code
  372. Qubit stabilizer code
  373. Qudit-into-oscillator code
  374. Random code
  375. Random quantum code
  376. Random-circuit code
  377. Rank-metric code
  378. Rank-modulation Gray code (RMGC)
  379. Raptor (RAPid TORnado) code
  380. Raussendorf-Bravyi-Harrington (RBH) cluster-state code
  381. Real-Clifford subgroup-orbit code
  382. Rectified Hessian polyhedron code
  383. Reed-Muller (RM) code
  384. Reed-Solomon (RS) code
  385. Regenerating code (RGC)
  386. Regular LDPC code
  387. Regular binary Tanner code
  388. Renormalization group (RG) cat code
  389. Repeat-accumulate (RA) code
  390. Repeat-accumulate-accumulate (RAA) code
  391. Repetition code
  392. Residue AG code
  393. Reversible code
  394. Ring code
  395. Root lattice code
  396. Rotated surface code
  397. Rotor GKP code
  398. Rotor code
  399. Rotor stabilizer code
  400. Ruled-surface code
  401. Schubert code
  402. Self-correcting quantum code
  403. Self-dual additive code
  404. Self-dual linear code
  405. Semakov-Zinoviev-Zaitsev (SZZ) equidistant code
  406. Sequential-recovery code
  407. Serge-variety RM-type code
  408. Sharp configuration
  409. Simplex code
  410. Simplex spherical code
  411. Single parity-check (SPC) code
  412. Single-mode bosonic code
  413. Single-shot code
  414. Single-spin code
  415. Singleton-bound approaching AQECC
  416. Skew-cyclic CSS code
  417. Skew-cyclic code
  418. Slepian group-orbit code
  419. Sloane-Whitehead code
  420. Small-distance block quantum code
  421. Smith \(40\)-point code
  422. Snub-cube code
  423. Spacetime block code (STBC)
  424. Spacetime circuit code
  425. Spacetime code (STC)
  426. Spatially coupled LDPC (SC-LDPC) code
  427. Sphere packing
  428. Spherical code
  429. Spherical design code
  430. Spherical sharp configuration
  431. Spin GKP code
  432. Spin cat code
  433. Spin code
  434. Square-antiprism code
  435. Square-lattice GKP code
  436. Stabilizer code
  437. Stabilizer code over \(GF(4)\)
  438. Stabilizer code over \(GF(q^2)\)
  439. String-net code
  440. Subsystem QPC
  441. Subsystem color code
  442. Subsystem modular-qudit stabilizer code
  443. Subsystem quantum error-correcting code
  444. Subsystem qubit stabilizer code
  445. Subsystem rotated surface code
  446. Subsystem surface code
  447. Surface-17 code
  448. Suzuki-curve code
  449. Symmetry-protected self-correcting quantum code
  450. Ta-Shma zigzag code
  451. Tanner code
  452. Tanner-Sridhara-Fuja (TSF) code
  453. Tensor-product HDX code
  454. Tensor-product code
  455. Ternary Golay code
  456. Tetracode
  457. Tetron Majorana code
  458. Three-fermion (3F) model code
  459. Three-fermion (3F) subsystem code
  460. Three-qutrit code
  461. Three-rotor code
  462. Topological code
  463. Tornado code
  464. Torus-layer spherical code (TLSC)
  465. Translationally invariant stabilizer code
  466. Transverse-field Ising model (TFIM) code
  467. Triorthogonal code
  468. True Galois-qudit stabilizer code
  469. Tsfasman-Vladut-Zink (TVZ) code
  470. Turbo code
  471. Twisted quantum double (TQD) code
  472. Two-component cat code
  473. Two-dimensional hyperbolic surface code
  474. Two-weight code
  475. Unimodular lattice code
  476. Universally optimal \(q\)-ary code
  477. Universally optimal code
  478. Universally optimal sphere packing
  479. Universally optimal spherical code
  480. Vasilyev code
  481. Very small logical qubit (VSLQ) code
  482. W-state code
  483. Walker-Wang model code
  484. Wasilewski-Banaszek code
  485. Weighed-covering code
  486. Weight-two code
  487. Witting polytope code
  488. Wozencraft ensemble code
  489. Wrapped spherical code
  490. X-code
  491. X-cube model code
  492. XP stabilizer code
  493. XS stabilizer code
  494. XY surface code
  495. XYZ product code
  496. XYZ\(^2\) hexagonal stabilizer code
  497. XZZX surface code
  498. Zero-pi qubit code
  499. Zetterberg code
  500. \(((5,6,2))\) qubit code
  501. \(((7,2,3))\) permutation-invariant code
  502. \((5,1,2)\)-convolutional code
  503. \((u|u+v)\)-construction code
  504. \(A_2\) hexagonal lattice code
  505. \(A_n\) lattice code
  506. \(A_n^{\perp}\) lattice code
  507. \(BW_{32}\) Barnes-Wall lattice code
  508. \(BW_{32}\) lattice-shell code
  509. \(D_3\) face-centered cubic (fcc) lattice code
  510. \(D_4\) hyper-diamond GKP code
  511. \(D_4\) hyper-diamond lattice code
  512. \(D_4\) lattice-shell code
  513. \(D_n\) checkerboard lattice code
  514. \(ED_m\) code
  515. \(E_6\) lattice-shell code
  516. \(E_6\) root lattice code
  517. \(E_7\) lattice-shell code
  518. \(E_7\) root lattice code
  519. \(E_8\) Gosset lattice code
  520. \(E_8\) Gosset lattice-shell code
  521. \(G\)-covariant erasure code
  522. \(R\)-linear code
  523. \(U(d)\)-covariant approximate erasure code
  524. \([7,4,3]\) Hamming code
  525. \([8,4,4]\) extended Hamming code
  526. \([[15, 7, 3]]\) Hamming-based CSS code
  527. \([[15,1,3]]\) quantum Reed-Muller code
  528. \([[2^r, 2^r-r-2, 3]]\) quantum Hamming code
  529. \([[2^r-1, 1, 3]]\) quantum Reed-Muller code
  530. \([[2^r-1, 2^r-2r-1, 3]]\) Hamming-based CSS code
  531. \([[2^r-1, 2^r-2r-1, 3]]_p\) prime-qudit CSS code
  532. \([[2^{2r-1}-1,1,2^r-1]]\) quantum punctured Reed-Muller code
  533. \([[2m,2m-2,2]]\) error-detecting code
  534. \([[4,2,2]]\) CSS code
  535. \([[5,1,3]]_q\) Galois-qudit code
  536. \([[5,1,3]]_{\mathbb{Z}_q}\) modular-qudit code
  537. \([[7,1,3]]\) Steane code
  538. \([[8,3,2]]\) code
  539. \([[9,1,3]]\) Shor code
  540. \([[9,1,3]]_{\mathbb{Z}_q}\) modular-qudit code
  541. \([[k+4,k,2]]\) H code
  542. \(\Lambda_{16}\) Barnes-Wall lattice code
  543. \(\Lambda_{16}\) lattice-shell code
  544. \(\Lambda_{24}\) Leech lattice code
  545. \(\Lambda_{24}\) Leech lattice-shell code
  546. \(\chi^{(2)}\) code
  547. \(\mathbb{Z}^n\) hypercubic lattice code
  548. \(\mathbb{Z}_3\times\mathbb{Z}_9\)-fusion subsystem code
  549. \(\mathbb{Z}_q^{(1)}\) subsystem code
  550. \(q\)-ary Hamming code
  551. \(q\)-ary LDGM code
  552. \(q\)-ary LDPC code
  553. \(q\)-ary code over \(\mathbb{Z}_q\)
  554. \(q\)-ary duadic code
  555. \(q\)-ary linear LTC
  556. \(q\)-ary parity-check code
  557. \(q\)-ary protograph LDPC code
  558. \(q\)-ary quadratic-residue (QR) code
  559. \(q\)-ary repetition code
  560. \(q\)-ary sharp configuration