Here are a gigantic list of all the codes, sorted alphabetically, that were included in the error correction zoo.
  1. 120-cell code
  2. 2T-qutrit code
  3. 3D surface code
  4. 600-cell code
  5. Abelian topological code
  6. Additive \(q\)-ary code
  7. Alamouti code
  8. Algebraic-geometry (AG) code
  9. Alternant code
  10. Analog stabilizer code
  11. Analog surface code
  12. Annealing-based spherical code
  13. Anticode
  14. Antipode lattice code
  15. Approximate quantum error-correcting code (AQECC)
  16. Approximate secret-sharing code
  17. Availability code
  18. BPSK c-q code
  19. Bacon-Shor code
  20. Balanced code
  21. Balanced product code
  22. Barnes-Wall (BW) lattice code
  23. Batch code
  24. Ben-Sasson-Goldreich-Harsha-Sudan-Vadhan (BGHSV) code
  25. Ben-Sasson-Sudan code
  26. Ben-Sasson-Sudan-Vadhan-Wigderson (BSVW) code
  27. Best code
  28. Binary BCH code
  29. Binary PSK (BPSK) code
  30. Binary Varshamov-Tenengolts (VT) code
  31. Binary antipodal code
  32. Binary balanced spherical code
  33. Binary code
  34. Binary duadic code
  35. Binary linear LTC
  36. Binary permutation-based code
  37. Binary quadratic-residue (QR) code
  38. Binary quantum Goppa code
  39. Binomial code
  40. Biorthogonal spherical code
  41. Bose–Chaudhuri–Hocquenghem (BCH) code
  42. Bosonic c-q code
  43. Bosonic code
  44. Bosonic rotation code
  45. Bosonic stabilizer code
  46. Braunstein five-mode code
  47. Bravyi-Bacon-Shor (BBS) code
  48. CSS classical product code
  49. Calderbank-Shor-Steane (CSS) stabilizer code
  50. Cartier code
  51. Cat code
  52. Category-based quantum code
  53. Chebyshev code
  54. Chuang-Leung-Yamamoto (CLY) code
  55. Classical Goppa code
  56. Classical-quantum (c-q) code
  57. Clifford-deformed surface code (CDSC)
  58. Codeword stabilized (CWS) code
  59. Coherent FSK (CFSK) c-q code
  60. Coherent-state constellation code
  61. Color code
  62. Complete-intersection RM-type code
  63. Concatenated code
  64. Concatenated quantum code
  65. Constant-energy code
  66. Constant-excitation (CE) code
  67. Constant-excitation permutation-invariant code
  68. Constant-weight code
  69. Convolutional code
  70. Covariant code
  71. Covering code
  72. Coxeter-Todd \(K_{12}\) lattice code
  73. Crystalline-circuit code
  74. Cubeoctahedron code
  75. Cyclic code
  76. Cyclic linear \(q\)-ary code
  77. Cyclic linear binary code
  78. Cyclic quantum code
  79. Deligne-Lusztig code
  80. Denniston code
  81. Dinur code
  82. Dinur-Hsieh-Lin-Vidick (DHLV) code
  83. Disphenoidal \(288\)-cell code
  84. Distance-balanced code
  85. Distributed-storage code
  86. Divisible code
  87. Dodecacode
  88. Double-semion code
  89. Doubled color code
  90. Dual additive code
  91. Dual linear code
  92. Dual-rail quantum code
  93. Dynamically-generated QECC
  94. EA analog stabilizer code
  95. EA qubit stabilizer code
  96. Eigenstate thermalization hypothesis (ETH) code
  97. Elliptic code
  98. Entanglement-assisted (EA) QECC
  99. Entanglement-assisted (EA) operator QECC
  100. Entanglement-assisted hybrid classical-quantum (EACQ) code
  101. Error-corrected sensing code
  102. Error-correcting code (ECC)
  103. Evaluation AG code
  104. Evaluation code
  105. Expander code
  106. Expander lifted-product code
  107. Extended GRS code
  108. Fermionic code
  109. Fiber-bundle code
  110. Fibonacci code
  111. Fibonacci string-net code
  112. Finite-dimensional error-correcting code (ECC)
  113. Finite-dimensional quantum error-correcting code
  114. Five-qubit perfect code
  115. Five-qudit code
  116. Five-rotor code
  117. Flag-variety code
  118. Floquet code
  119. Floquet color code
  120. Fock-state bosonic code
  121. Folded RS (FRS) code
  122. Folded quantum Reed-Solomon (FQRS) code
  123. Fountain code
  124. Fractal surface code
  125. Fracton code
  126. Freedman-Meyer-Luo code
  127. Frequency-shift keyring (FSK) code
  128. Frobenius code
  129. Fusion-based quantum computing (FBQC) code
  130. GKP cluster-state code
  131. GKP-stabilizer code
  132. GNU permutation-invariant code
  133. Gabidulin code
  134. Galois-field \(q\)-ary code
  135. Galois-qudit BCH code
  136. Galois-qudit CSS code
  137. Galois-qudit GRS code
  138. Galois-qudit RS code
  139. Galois-qudit code
  140. Galois-qudit non-stabilizer code
  141. Galois-qudit stabilizer code
  142. Galois-qudit topological code
  143. Generalized RM (GRM) code
  144. Generalized RS (GRS) code
  145. Generalized color code
  146. Generalized concatenated code
  147. Generalized homological product CSS code
  148. Generalized homological product code
  149. Golay code
  150. Gold code
  151. Golden code
  152. Goldreich-Sudan code
  153. Good QLDPC code
  154. Gottesman-Kitaev-Preskill (GKP) code
  155. Graph homology code
  156. Grassmannian code
  157. Gray code
  158. Griesmer code
  159. Gross spin code
  160. Group GKP code
  161. Group-algebra code
  162. Group-alphabet code
  163. Group-based quantum code
  164. Group-orbit code
  165. Groupoid toric code
  166. Guth-Lubotzky code
  167. Haah cubic code
  168. Haar-random code
  169. Hadamard code
  170. Hamiltonian-based code
  171. Hamming code
  172. Hansen toric code
  173. Heavy-hexagon code
  174. Hemicubic code
  175. Hermitian code
  176. Hermitian-hypersurface code
  177. Hessian polyhedron code
  178. Hexacode
  179. Hexagonal GKP code
  180. Higher-dimensional surface code
  181. Holographic code
  182. Homological bosonic code
  183. Homological product code
  184. Honeycomb Floquet code
  185. Hybrid qudit-oscillator code
  186. Hyperbolic surface code
  187. Hypergraph product code
  188. Hypersphere product code
  189. Icosahedron code
  190. Identifiable parent property (IPP) code
  191. Incidence-matrix projective code
  192. Interleaved RS (IRS) code
  193. Justesen code
  194. Kitaev honeycomb code
  195. Kitaev surface code
  196. Klein-quartic code
  197. Kopparty-Meir-Ron-Zewi-Saraf (KMRS) code
  198. Laminated spherical code
  199. Lattice-based code
  200. Lattice-shell code
  201. Left-right Cayley complex code
  202. Levenshtein code
  203. Lifted-product (LP) code
  204. Linear \(q\)-ary code
  205. Linear binary code
  206. Linear code
  207. Linear code over \(G\)
  208. Lloyd-Slotine nine-mode code
  209. Local Haar-random circuit code
  210. Locally recoverable code (LRC)
  211. Locally testable code (LTC)
  212. Long code
  213. Low-density generator-matrix (LDGM) code
  214. Low-density parity-check (LDPC) code
  215. Low-depth random Clifford-circuit code
  216. Low-rank parity-check (LRPC) code
  217. Luby transform (LT) code
  218. Majorana stabilizer code
  219. Matching code
  220. Matrix computation code
  221. Matrix-based code
  222. Matrix-model code
  223. Matrix-product code
  224. Matrix-product state (MPS) code
  225. Maximum distance separable (MDS) code
  226. Maximum-rank distance (MRD) code
  227. Meir code
  228. Melas code
  229. Metrological code
  230. Minimum-bandwidth regenerating (MBR) code
  231. Minimum-storage regenerating (MSR) code
  232. Mod-2 lattice code
  233. Modular-qudit CSS code
  234. Modular-qudit code
  235. Modular-qudit stabilizer code
  236. Modular-qudit surface code
  237. Molecular code
  238. Monitored random-circuit code
  239. Movassagh-Ouyang Hamiltonian code
  240. Multi-fusion string-net code
  241. Multi-mode GKP code
  242. Nearly perfect code
  243. Niemeier lattice code
  244. Niset-Andersen-Cerf code
  245. Nonlinear AG code
  246. Number-phase code
  247. Numerically optimized code
  248. Octacode
  249. On-off keyed (OOK) c-q code
  250. One-hot code
  251. Operator-algebra error-correcting code
  252. Orthogonal Spacetime Block Code (OSTBC)
  253. Oscillator-into-oscillator code
  254. PPM c-q code
  255. PSK c-q code
  256. Pair-cat code
  257. Parallel concatenated code
  258. Parallel-recovery code
  259. Parvaresh-Vardy (PV) code
  260. Pastawski-Yoshida-Harlow-Preskill (HaPPY) code
  261. Perfect code
  262. Perfect quantum code
  263. Permutation spherical code
  264. Permutation-invariant code
  265. Phase-shift keyring (PSK) code
  266. Plane-curve code
  267. Polar c-q code
  268. Polar code
  269. Polynomial evaluation code
  270. Polyphase code
  271. Polytope code
  272. Projective RM (PRM) code
  273. Projective geometry code
  274. Projective-plane surface code
  275. Pulse-amplitude modulation (PAM) code
  276. Pulse-position modulation (PPM) code
  277. Quadrature PSK (QPSK) code
  278. Quadrature-amplitude modulation (QAM) code
  279. Quadric code
  280. Quantum Lego code
  281. Quantum Reed-Muller code
  282. Quantum Reed-Solomon code
  283. Quantum Tanner code
  284. Quantum check-product code
  285. Quantum code
  286. Quantum convolutional code
  287. Quantum divisible code
  288. Quantum error-correcting code (QECC)
  289. Quantum expander code
  290. Quantum locally testable code (QLTC)
  291. Quantum low-density parity-check (QLDPC) code
  292. Quantum maximum-distance-separable (MDS) code
  293. Quantum parity code (QPC)
  294. Quantum polar code
  295. Quantum quasi-cyclic code
  296. Quantum repetition code
  297. Quantum-double code
  298. Quasi-cyclic code
  299. Quasi-perfect code
  300. Quaternary code over \(\mathbb{Z}_4\)
  301. Qubit BCH code
  302. Qubit c-q code
  303. Qubit code
  304. Qubit stabilizer code
  305. Qudit-into-oscillator code
  306. Ramanujan-complex product code
  307. Random code
  308. Random quantum code
  309. Random-circuit code
  310. Rank-metric code
  311. Rank-modulation Gray code (RMGC)
  312. Raptor (RAPid TORnado) code
  313. Raussendorf-Bravyi-Harrington (RBH) code
  314. Real-Clifford subgroup-orbit code
  315. Rectified Hessian polyhedron code
  316. Reed-Muller (RM) code
  317. Reed-Solomon (RS) code
  318. Regenerating code (RGC)
  319. Renormalization group (RG) cat code
  320. Repetition code
  321. Residue AG code
  322. Reversible code
  323. Ring code
  324. Root lattice code
  325. Rotated surface code
  326. Rotor GKP code
  327. Rotor code
  328. Ruled-surface code
  329. Schubert code
  330. Self-correcting quantum code
  331. Sequential-recovery code
  332. Serge-variety RM-type code
  333. Simplex code
  334. Simplex spherical code
  335. Single parity-check (SPC) code
  336. Single-mode bosonic code
  337. Single-spin code
  338. Singleton-bound approaching AQECC
  339. Skew-cyclic CSS code
  340. Skew-cyclic code
  341. Slepian group-orbit code
  342. Snub-cube code
  343. Spacetime block code (STBC)
  344. Spacetime code (STC)
  345. Sphere packing
  346. Spherical code
  347. Spin GKP code
  348. Spin cat code
  349. Spin code
  350. Square-antiprism code
  351. Stabilizer code
  352. Stabilizer code over \(GF(4)\)
  353. Stabilizer code over \(GF(q^2)\)
  354. String-net code
  355. Subsystem color code
  356. Subsystem modular-qudit stabilizer code
  357. Subsystem quantum error-correcting code
  358. Subsystem qubit stabilizer code
  359. Subsystem rotated surface code
  360. Subsystem surface code
  361. Surface-17 code
  362. Suzuki-curve code
  363. Symmetry-protected self-correcting quantum code
  364. Ta-Shma zigzag code
  365. Tanner code
  366. Tensor-product code
  367. Tensored-Ramanujan-complex product code
  368. Ternary Golay Code
  369. Tetracode
  370. Three qutrit code
  371. Three-rotor code
  372. Topological code
  373. Tornado code
  374. Torus-layer spherical code (TLSC)
  375. Translationally invariant stabilizer code
  376. Transverse-field Ising model (TFIM) code
  377. Triorthogonal code
  378. True Galois-qudit stabilizer code
  379. Tsfasman-Vladut-Zink (TVZ) code
  380. Two-component cat code
  381. Two-dimensional hyperbolic surface code
  382. Unimodular lattice code
  383. Very small logical qubit (VSLQ) code
  384. W-state code
  385. Wasilewski-Banaszek code
  386. Weighed-covering code
  387. Weight-two code
  388. Witting polytope code
  389. Wozencraft ensemble code
  390. Wrapped spherical code
  391. XP stabilizer code
  392. XS stabilizer code
  393. XY surface code
  394. XYZ product code
  395. XYZ\(^2\) hexagonal stabilizer code
  396. XZZX surface code
  397. Zetterberg code
  398. \((5,1,2)\)-convolutional code
  399. \(24\)-cell code
  400. \(A_2\) hexagonal lattice code
  401. \(BW_{32}\) Barnes-Wall lattice code
  402. \(BW_{32}\) lattice-shell code
  403. \(D_3\) face-centered cubic (fcc) lattice code
  404. \(D_4\) GKP code
  405. \(D_4\) hyper-diamond lattice code
  406. \(D_4\) lattice-shell code
  407. \(D_n\) checkerboard lattice code
  408. \(E_6\) lattice-shell code
  409. \(E_6\) root lattice code
  410. \(E_7\) root lattice code
  411. \(E_8\) Gosset lattice code
  412. \(E_8\) Gosset lattice-shell code
  413. \(G\)-covariant erasure code
  414. \(R\)-linear code
  415. \(U(d)\)-covariant approximate erasure code
  416. \([7,4,3]\) Hamming code
  417. \([[15, 7, 3]]\) Hamming-based CSS code
  418. \([[15,1,3]]\) quantum Reed-Muller code
  419. \([[2^r, 2^r-r-2, 3]]\) quantum Hamming code
  420. \([[2^r-1, 1, 3]]\) quantum Reed-Muller code
  421. \([[2^r-1, 2^r-2r-1, 3]]\) Hamming-based CSS code
  422. \([[2^r-1, 2^r-2r-1, 3]]_p\) prime-qudit CSS code
  423. \([[2^{2r-1}-1,1,2^r-1]]\) quantum punctured Reed-Muller code
  424. \([[2m,2m-2,2]]\) error-detecting code
  425. \([[4,2,2]]\) CSS code
  426. \([[7,1,3]]\) Steane code
  427. \([[8,3,2]]\) code
  428. \([[9,1,3]]\) Shor code
  429. \([[k+4,k,2]]\) H code
  430. \(\Lambda_{16}\) Barnes-Wall lattice code
  431. \(\Lambda_{16}\) lattice-shell code
  432. \(\Lambda_{24}\) Leech lattice code
  433. \(\Lambda_{24}\) Leech lattice-shell code
  434. \(\chi^{(2)}\) code
  435. \(\mathbb{Z}^n\) hypercubic lattice code
  436. \(q\)-ary Hamming code
  437. \(q\)-ary code over \(\mathbb{Z}_q\)
  438. \(q\)-ary duadic code
  439. \(q\)-ary linear LTC
  440. \(q\)-ary parity-check code
  441. \(q\)-ary quadratic-residue (QR) code
  442. \(q\)-ary repetition code