Here are a gigantic list of all the codes, sorted alphabetically, that were included in the error correction zoo.
  1. Abelian topological code
  2. Additive \(q\)-ary code
  3. Alamouti code
  4. Algebraic-geometry (AG) code
  5. Alternant code
  6. Analog stabilizer code
  7. Anticode
  8. Approximate quantum error-correcting code (AQECC)
  9. Approximate secret-sharing code
  10. Availability code
  11. Bacon-Shor code
  12. Balanced code
  13. Balanced product code
  14. Batch code
  15. Ben-Sasson-Goldreich-Harsha-Sudan-Vadhan (BGHSV) code
  16. Ben-Sasson-Sudan code
  17. Ben-Sasson-Sudan-Vadhan-Wigderson (BSVW) code
  18. Binary BCH code
  19. Binary Varshamov-Tenengolts (VT) code
  20. Binary code
  21. Binary duadic code
  22. Binary linear LTC
  23. Binary permutation-based code
  24. Binary quadratic-residue (QR) code
  25. Binary quantum Goppa code
  26. Binomial code
  27. Bose–Chaudhuri–Hocquenghem (BCH) code
  28. Bosonic code
  29. Bosonic rotation code
  30. Bosonic stabilizer code
  31. Braunstein five-mode code
  32. Bravyi-Bacon-Shor (BBS) code
  33. Calderbank-Shor-Steane (CSS) stabilizer code
  34. Cartier code
  35. Cat code
  36. Category-based quantum code
  37. Chebyshev code
  38. Chuang-Leung-Yamamoto code
  39. Classical Goppa code
  40. Clifford-deformed surface code (CDSC)
  41. Codeword stabilized (CWS) code
  42. Color code
  43. Complete-intersection RM-type code
  44. Concatenated code
  45. Concatenated quantum code
  46. Constant-excitation (CE) code
  47. Constant-excitation permutation-invariant code
  48. Constant-weight code
  49. Convolutional code
  50. Covariant code
  51. Covering code
  52. Cyclic code
  53. Cyclic linear \(q\)-ary code
  54. Cyclic linear binary code
  55. Deligne-Lusztig code
  56. Denniston code
  57. Dinur code
  58. Dinur-Hsieh-Lin-Vidick (DHLV) code
  59. Distance-balanced code
  60. Distributed-storage code
  61. Divisible code
  62. Dodecacode
  63. Double-semion code
  64. Dual additive code
  65. Dual linear code
  66. Dual-rail quantum code
  67. Dynamically-generated quantum error-correcting code
  68. Eigenstate thermalization hypothesis (ETH) code
  69. Elliptic code
  70. Entanglement-assisted (EA) QECC
  71. Entanglement-assisted (EA) operator QECC
  72. Entanglement-assisted (EA) stabilizer code
  73. Entanglement-assisted hybrid classical-quantum (EACQ) code
  74. Error-corrected sensing code
  75. Error-correcting code (ECC)
  76. Evaluation AG code
  77. Evaluation code
  78. Expander code
  79. Expander lifted-product code
  80. Extended GRS code
  81. Fermionic code
  82. Fiber-bundle code
  83. Fibonacci code
  84. Fibonacci string-net code
  85. Finite-dimensional quantum error-correcting code
  86. Five-qubit perfect code
  87. Flag-variety code
  88. Floquet code
  89. Fock-state bosonic code
  90. Folded RS (FRS) code
  91. Fountain code
  92. Fractal surface code
  93. Fracton code
  94. Freedman-Meyer-Luo code
  95. Frobenius code
  96. Fusion-based quantum computing (FBQC) code
  97. GKP cluster-state concatenated code
  98. GKP-stabilizer code
  99. GNU permutation-invariant code
  100. Gabidulin code
  101. Galois-field \(q\)-ary code
  102. Galois-qudit BCH code
  103. Galois-qudit CSS code
  104. Galois-qudit GRS code
  105. Galois-qudit RS code
  106. Galois-qudit code
  107. Galois-qudit non-stabilizer code
  108. Galois-qudit stabilizer code
  109. Galois-qudit topological code
  110. Generalized RM (GRM) code
  111. Generalized RS (GRS) code
  112. Generalized concatenated code
  113. Generalized homological product code
  114. Golay code
  115. Golden code
  116. Goldreich-Sudan code
  117. Good QLDPC code
  118. Gottesman-Kitaev-Preskill (GKP) code
  119. Graph homology code
  120. Grassmannian code
  121. Griesmer code
  122. Gross spin code
  123. Group GKP code
  124. Group code
  125. Group-based code
  126. Group-based quantum code
  127. Guth-Lubotzky code
  128. H code
  129. Haah cubic code
  130. Haar-random code
  131. Hadamard code
  132. Hamiltonian-based code
  133. Hamming code
  134. Hansen toric code
  135. Heavy-hexagon code
  136. Hemicubic code
  137. Hermitian code
  138. Hermitian-hypersurface code
  139. Hexacode
  140. Higher-dimensional surface code
  141. Holographic code
  142. Homological bosonic code
  143. Homological product code
  144. Honeycomb code
  145. Hybrid qudit-oscillator code
  146. Hyperbolic surface code
  147. Hypergraph product code
  148. Hypersphere product code
  149. Identifiable parent property (IPP) code
  150. Incidence-matrix projective code
  151. Interleaved RS (IRS) code
  152. Justesen code
  153. Kitaev surface code
  154. Klein-quartic code
  155. Kopparty-Meir-Ron-Zewi-Saraf (KMRS) code
  156. Lattice-based code
  157. Left-right Cayley complex code
  158. Levenshtein code
  159. Lifted-product (LP) code
  160. Linear \(q\)-ary code
  161. Linear binary code
  162. Linear code
  163. Lloyd-Slotine nine-mode code
  164. Local Haar-random circuit code
  165. Locally recoverable code (LRC)
  166. Locally testable code (LTC)
  167. Long code
  168. Low-density generator-matrix (LDGM) code
  169. Low-density parity-check (LDPC) code
  170. Low-depth random Clifford-circuit code
  171. Luby transform (LT) code
  172. Majorana stabilizer code
  173. Matching code
  174. Matrix computation code
  175. Matrix-based code
  176. Matrix-product code
  177. Maximum distance separable (MDS) code
  178. Maximum-rank distance (MRD) code
  179. Meir code
  180. Metrological code
  181. Minimum-bandwidth regenerating (MBR) code
  182. Minimum-storage regenerating (MSR) code
  183. Modular-qudit CSS code
  184. Modular-qudit code
  185. Modular-qudit stabilizer code
  186. Modular-qudit surface code
  187. Molecular code
  188. Monitored random-circuit code
  189. Movassagh-Ouyang Hamiltonian code
  190. Multi-mode GKP code
  191. Nearly perfect code
  192. Niset-Andersen-Cerf code
  193. Nonlinear AG code
  194. Number-phase code
  195. Numerically optimized code
  196. Octacode
  197. One-hot code
  198. Operator-algebra error-correcting code
  199. Orthogonal Spacetime Block Code (OSTBC)
  200. Oscillator-into-oscillator code
  201. Pair-cat code
  202. Parallel concatenated code
  203. Parallel-recovery code
  204. Parity-check code
  205. Parvaresh-Vardy (PV) code
  206. Pastawski-Yoshida-Harlow-Preskill (HaPPY) code
  207. Perfect code
  208. Perfect quantum code
  209. Permutation-invariant code
  210. Plane-curve code
  211. Polar code
  212. Polynomial evaluation code
  213. Projective RM (PRM) code
  214. Projective geometry code
  215. Projective-plane surface code
  216. Quadric code
  217. Quantum Lego code
  218. Quantum Reed-Muller code
  219. Quantum Reed-Solomon code
  220. Quantum Tanner code
  221. Quantum check-product code
  222. Quantum convolutional code
  223. Quantum cyclic code
  224. Quantum divisible code
  225. Quantum error-correcting code (QECC)
  226. Quantum expander code
  227. Quantum locally testable code (QLTC)
  228. Quantum low-density parity-check (QLDPC) code
  229. Quantum maximum-distance-separable (MDS) code
  230. Quantum parity code (QPC)
  231. Quantum polar code
  232. Quantum repetition code
  233. Quantum-double code
  234. Quasi-cyclic code
  235. Quasi-perfect code
  236. Quaternary code over \(\mathbb{Z}_4\)
  237. Qubit BCH code
  238. Qubit code
  239. Qubit stabilizer code
  240. Qudit-into-oscillator code
  241. Ramanujan-complex product code
  242. Random code
  243. Random quantum code
  244. Random-circuit code
  245. Rank-metric code
  246. Rank-modulation code
  247. Raptor (RAPid TORnado) code
  248. Raussendorf-Bravyi-Harrington (RBH) code
  249. Reed-Muller (RM) code
  250. Reed-Solomon (RS) code
  251. Regenerating code (RGC)
  252. Repetition code
  253. Residue AG code
  254. Ring code
  255. Rotated surface code
  256. Rotor GKP code
  257. Rotor code
  258. Ruled-surface code
  259. Schubert code
  260. Self-correcting quantum code
  261. Sequential-recovery code
  262. Serge-variety RM-type code
  263. Shor \([[9,1,3]]\) code
  264. Simplex code
  265. Single-mode bosonic code
  266. Skew-cyclic CSS code
  267. Skew-cyclic code
  268. Solid code
  269. Spacetime block code (STBC)
  270. Spacetime code (STC)
  271. Spherical code
  272. Spin code
  273. Stabilizer code
  274. Stabilizer code over \(GF(4)\)
  275. Stabilizer code over \(GF(q^2)\)
  276. Steane \([[7,1,3]]\) code
  277. String-net code
  278. Subsystem color code
  279. Subsystem quantum error-correcting code
  280. Subsystem qubit stabilizer code
  281. Surface-17 code
  282. Symmetry-protected self-correcting quantum code
  283. Ta-Shma zigzag code
  284. Tanner code
  285. Tensor-product code
  286. Tensored-Ramanujan-complex product code
  287. Ternary Golay Code
  288. Tetracode
  289. Three qutrit code
  290. Topological code
  291. Tornado code
  292. Translationally-invariant stabilizer code
  293. Transverse-field Ising model (TFIM) code
  294. Triorthogonal code
  295. True Galois-qudit stabilizer code
  296. Tsfasman-Vladut-Zink (TVZ) code
  297. Two-dimensional hyperbolic surface code
  298. Very small logical qubit (VSLQ) code
  299. W-state code
  300. Wasilewski-Banaszek code
  301. Weighed-covering code
  302. Weight-two code
  303. Wozencraft ensemble code
  304. XP stabilizer code
  305. XS stabilizer code
  306. XY surface code
  307. XYZ product code
  308. XYZ\(^2\) hexagonal stabilizer code
  309. XZZX surface code
  310. Zetterberg code
  311. \(G\)-covariant erasure code
  312. \(R\)-linear code
  313. \(U(d)\)-covariant approximate erasure code
  314. \([[15,1,3]]\) quantum Reed-Muller code
  315. \([[2^r, 2^r-r-2, 3]]\) quantum Hamming code
  316. \([[2^r-1, 2^r-2r-1, 3]]\) Hamming-based CSS code
  317. \([[2^r-1, 2^r-2r-1, 3]]_p\) prime-qudit CSS code
  318. \([[3,1,2]]_{\mathbb Z}\) rotor code
  319. \([[4,2,2]]\) CSS code
  320. \([[5,1,3]]_{\mathbb Z}\) rotor code
  321. \(q\)-ary Hamming code
  322. \(q\)-ary duadic code
  323. \(q\)-ary linear LTC
  324. \(q\)-ary parity-check code
  325. \(q\)-ary quadratic-residue (QR) code