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