Here are a gigantic list of all the codes, sorted alphabetically, that were included in the error correction zoo.
- 120-cell code
- 24-cell code
- 2D bosonization code
- 2D color code
- 2D hyperbolic surface code
- 2D lattice stabilizer code
- 2D subsystem color code
- 2T-qutrit code
- 3D bosonization code
- 3D color code
- 3D fermionic surface code
- 3D lattice stabilizer code
- 3D subsystem color code
- 3D subsystem surface code
- 3D surface code
- 600-cell code
- Abelian LP code
- Abelian TQD stabilizer code
- Abelian quantum-double stabilizer code
- Abelian topological code
- Accumulate-repeat-accumulate (ARA) code
- Additive \(q\)-ary code
- Alamouti code
- Algebraic LDPC code
- Algebraic-geometry (AG) code
- Alternant code
- Amplitude-damping (AD) code
- Amplitude-damping CWS code
- Analog stabilizer code
- Analog surface code
- Analog-cluster-state code
- Annealing-based spherical code
- Anticode
- Antipode lattice code
- Approximate operator-algebra QECC
- Approximate quantum error-correcting code (AQECC)
- Approximate secret-sharing code
- Array-based LDPC (AB-LDPC) code
- Asymmetric quantum code
- Auxiliary qubit mapping (AQM) code
- Availability code
- B-code
- BPSK c-q code
- Bacon-Shor code
- Balanced code
- Balanced product (BP) code
- Ball color code
- Ball-Verstraete-Cirac (BVC) code
- Barnes-Wall (BW) lattice code
- Batch code
- Ben-Sasson-Goldreich-Harsha-Sudan-Vadhan (BGHSV) code
- Ben-Sasson-Sudan code
- Ben-Sasson-Sudan-Vadhan-Wigderson (BSVW) code
- Best \((10,40,4)\) code
- Bicycle code
- Binary BCH code
- Binary PSK (BPSK) code
- Binary antipodal code
- Binary balanced spherical code
- Binary code
- Binary dihedral PI code
- Binary duadic code
- Binary group-orbit code
- Binary linear LTC
- Binary permutation-based code
- Binary quadratic-residue (QR) code
- Binary-ternary mixed code
- Binomial code
- Biorthogonal spherical code
- Bivariate bicycle (BB) code
- Block LDPC (B-LDPC) code
- Block code
- Block quantum code
- Body-centered cubic (bcc) lattice code
- Bose–Chaudhuri–Hocquenghem (BCH) code
- Bosonic \(q\)-ary expansion
- Bosonic c-q code
- Bosonic code
- Bosonic rotation code
- Bosonic stabilizer code
- Bosonization code
- Bounded-energy code
- Branching MERA code
- Bravyi-Bacon-Shor (BBS) code
- Bravyi-Kitaev superfast (BKSF) code
- Bravyi-Kitaev transformation (BKT) code
- Brown-Fawzi random Clifford-circuit code
- Calderbank-Shor-Steane (CSS) stabilizer code
- Camara-Ollivier-Tillich code
- Cameron-Goethals-Seidel (CGS) isotropic subspace code
- Capped color code (CCC)
- Cartier code
- Cat code
- Category-based quantum code
- Chamon model code
- Chebyshev code
- Checkerboard model code
- Chen-Hsin invertible-order code
- Chiral semion Walker-Wang model code
- Chiral semion subsystem code
- Chuang-Leung-Yamamoto (CLY) code
- Circuit-to-Hamiltonian approximate code
- Classical Goppa code
- Classical fractal liquid code
- Classical topological code
- Classical-product code
- Classical-quantum (c-q) code
- Clifford group-representation QSC
- Clifford spin code
- Clifford subgroup-orbit QSC
- Clifford-deformed surface code (CDSC)
- Cluster-state code
- Codeword stabilized (CWS) code
- Coherent FSK (CFSK) c-q code
- Coherent-parity-check (CPC) code
- Coherent-state c-q code
- Coherent-state constellation code
- Color code
- Combinatorial PI code
- Combinatorial design
- Commuting-projector Hamiltonian code
- Compass code
- Complete-intersection RM-type code
- Complex Hadamard spherical code
- Concatenated GKP code
- Concatenated Steane code
- Concatenated bosonic code
- Concatenated c-q code
- Concatenated cat code
- Concatenated code
- Concatenated quantum code
- Concatenated qubit code
- Conference code
- Conformal-field theory (CFT) code
- Constacyclic code
- Constant-energy code
- Constant-excitation (CE) code
- Constant-weight code
- Constantin-Rao (CR) code
- Construction-\(A\) code
- Convolutional code
- Covariant block quantum code
- Covering code
- Coxeter-Todd \(K_{12}\) lattice code
- Crystalline-circuit qubit code
- Cubeoctahedron code
- Cubic honeycomb color code
- Cubic theory code
- Cycle LDPC code
- Cycle code
- Cyclic code
- Cyclic linear \(q\)-ary code
- Cyclic linear binary code
- Cyclic quantum code
- Cyclic redundancy check (CRC) code
- DNA storage code
- Deligne-Lusztig code
- Delsarte-Goethals (DG) code
- Denniston code
- Derby-Klassen (DK) code
- Design
- Determinant code
- Diagonal code
- Diatomic molecular code
- Difference-set cyclic (DSC) code
- Dihedral \(G=D_m\) quantum-double code
- Dijkgraaf-Witten gauge theory code
- Dinur code
- Dinur-Hsieh-Lin-Vidick (DHLV) code
- Dinur-Lin-Vidick (DLV) code
- Disk array code
- Disphenoidal 288-cell code
- Distance-balanced code
- Distributed-storage code
- Divisible code
- Dodecacode
- Double-semion stabilizer code
- Doubled color code
- Dual additive code
- Dual code over \(R\)
- Dual lattice code
- Dual linear code
- Dual-rail quantum code
- Dynamical automorphism (DA) code
- Dynamically-generated QECC
- EA FG-QLDPC code
- EA Galois-qudit code
- EA Galois-qudit stabilizer code
- EA MDS code
- EA QLDPC code
- EA analog stabilizer code
- EA bosonic code
- EA combinatorial-design QLDPC code
- EA quantum LCD code
- EA quantum turbo code
- EA quasi-cyclic QLDPC code
- EA qubit code
- EA qubit stabilizer code
- Editing code
- Eigenstate thermalization hypothesis (ETH) code
- Elliptic code
- Entanglement-assisted (EA) QECC
- Entanglement-assisted (EA) hybrid quantum code
- Entanglement-assisted (EA) subsystem QECC
- Error-corrected sensing code
- Error-correcting code (ECC)
- Error-correcting output code (ECOC)
- Evaluation AG code
- Evaluation code
- Expander LP code
- Expander code
- Extended GRS code
- Extended IRA (eIRA) code
- Fermion code
- Fermion-into-qubit code
- Fiber-bundle code
- Fibonacci code
- Fibonacci fractal spin-liquid code
- Fibonacci string-net code
- Finite-dimensional error-correcting code (ECC)
- Finite-dimensional quantum error-correcting code
- Finite-geometry (FG) QLDPC code
- Finite-geometry LDPC (FG-LDPC) code
- Five-qubit perfect code
- Five-rotor code
- Flag-variety code
- Floquet color code
- Fock-state bosonic code
- Folded RS (FRS) code
- Folded quantum Reed-Solomon (FQRS) code
- Fountain code
- Four-qubit single-deletion code
- Four-rotor code
- Fractal surface code
- Fracton Floquet code
- Fracton stabilizer code
- Frameproof (FP) code
- Freedman-Meyer-Luo code
- Frequency-shift keying (FSK) code
- Frobenius code
- Frustration-free Hamiltonian code
- Fusion-based quantum computing (FBQC) code
- GKP CV-cluster-state code
- GKP-surface code
- GNU PI code
- Gabidulin code
- Gallager (GL) code
- Galois-field \(q\)-ary code
- Galois-qudit BCH code
- Galois-qudit CSS code
- Galois-qudit CWS code
- Galois-qudit GRS code
- Galois-qudit RS code
- Galois-qudit USt code
- Galois-qudit code
- Galois-qudit quantum RM code
- Galois-qudit stabilizer code
- Galois-qudit topological code
- Gauss' law code
- Generalized 2D color code
- Generalized Gallager code
- Generalized RM (GRM) code
- Generalized RS (GRS) code
- Generalized Shor code
- Generalized bicycle (GB) code
- Generalized concatenated code (GCC)
- Generalized five-squares code
- Generalized homological-product CSS code
- Generalized homological-product code
- Generalized homological-product qubit CSS code
- Generalized quantum Tanner code
- Generalized quantum divisible code
- Glynn code
- Goethals code
- Golay code
- Gold code
- Golden code
- Goldreich-Sudan code
- Good QLDPC code
- Gottesman-Kitaev-Preskill (GKP) code
- Graph quantum code
- Graph-adjacency code
- Grassmannian code
- Gray code
- Griesmer code
- Group GKP code
- Group-algebra code
- Group-alphabet code
- Group-based QPC
- Group-based cluster-state code
- Group-based quantum code
- Group-based quantum repetition code
- Group-orbit code
- Group-representation code
- Groupoid toric code
- Guth-Lubotzky code
- Haah cubic code (CC)
- Haar-random qubit code
- Hadamard BPSK c-q code
- Hadamard code
- Hamiltonian-based code
- Hansen toric code
- Hastings-Haah Floquet code
- Heavy-hexagon code
- Hemicubic code
- Heptagon holographic code
- Hergert code
- Hermitian Galois-qudit code
- Hermitian code
- Hermitian qubit code
- Hermitian-hypersurface code
- Hessian QSC
- Hessian polyhedron code
- Hexacode
- Hexagonal GKP code
- Hierarchical code
- High-dimensional expander (HDX) code
- Higman-Sims graph-adjacency code
- Hill projective-cap code
- Hoffman-Singleton cycle code
- Hoffman-Singleton graph-adjacency code
- Holographic code
- Holographic hybrid code
- Holographic tensor-network code
- Homological bosonic code
- Homological code
- Homological number-phase code
- Homological product code
- Homological rotor code
- Honeycomb (6.6.6) color code
- Honeycomb Floquet code
- Hopf-algebra cluster-state code
- Hopf-algebra quantum-double code
- Hsieh-Halasz (HH) code
- Hsieh-Halasz-Balents (HHB) code
- Hsu-Anastasopoulos LDPC (HA-LDPC) code
- Hybrid QECC
- Hybrid cat code
- Hybrid qubit code
- Hybrid qudit-oscillator code
- Hybrid stabilizer code
- Hyperbolic Floquet code
- Hyperbolic color code
- Hyperbolic sphere packing
- Hyperbolic surface code
- Hypercube code
- Hypergraph product (HGP) code
- Hyperinvariant tensor-network (HTN) code
- Hyperoval code
- Hypersphere product code
- Icosahedron code
- Identifiable parent property (IPP) code
- Incidence-matrix projective code
- Interleaved RS (IRS) code
- Irregular LDPC code
- Irregular repeat-accumulate (IRA) code
- Jordan-Wigner transformation code
- Julin-Golay code
- Jump code
- Justesen code
- Kasami code
- Kerdock code
- Kerdock spherical code
- Kim-Preskill-Tang (KPT) code
- Kitaev chain code
- Kitaev current-mirror qubit code
- Kitaev honeycomb code
- Kitaev surface code
- Klein-quartic code
- Knill code
- Kopparty-Meir-Ron-Zewi-Saraf (KMRS) code
- LDPC convolutional code (LDPC-CC)
- La-cross code
- Ladder Floquet code
- Laminated spherical code
- Landau-level spin code
- Lattice stabilizer code
- Lattice subsystem code
- Lattice-based code
- Lattice-shell code
- Layer code
- Lazebnik-Ustimenko (LU) code
- Lechner-Hauke-Zoller (LHZ) code
- Left-right Cayley complex code
- Levenshtein code
- Lift-connected surface (LCS) code
- Lifted-product (LP) code
- Linear STC
- Linear \(q\)-ary code
- Linear binary code
- Linear code over \(G\)
- Linear code with complementary dual (LCD)
- Local Haar-random circuit qubit code
- Locally correctable code (LCC)
- Locally decodable code (LDC)
- Locally recoverable code (LRC)
- Locally testable code (LTC)
- Long code
- Long-range enhanced surface code (LRESC)
- Loop toric code
- Lossless expander balanced-product code
- Low-density generator-matrix (LDGM) code
- Low-density parity-check (LDPC) code
- Low-rank parity-check (LRPC) code
- Luby transform (LT) code
- MacKay-Neal LDPC (MN-LDPC) code
- Magnon code
- Majorana box qubit
- Majorana checkerboard code
- Majorana color code
- Majorana loop stabilizer code (MLSC)
- Majorana stabilizer code
- Majorana subsystem stabilizer code
- Majorana surface code
- Margulis LDPC code
- Matching code
- Matrix computation code
- Matrix-based code
- Matrix-model code
- Matrix-product code
- Maximal-entanglement EA Galois-qudit stabilizer code
- Maximum distance separable (MDS) code
- Maximum-rank distance (MRD) code
- Meir code
- Melas code
- Metrological code
- Minimum-bandwidth regenerating (MBR) code
- Minimum-storage regenerating (MSR) code
- Mixed code
- Modular-qudit CSS code
- Modular-qudit CWS code
- Modular-qudit GKP code
- Modular-qudit USt code
- Modular-qudit cluster-state code
- Modular-qudit code
- Modular-qudit color code
- Modular-qudit stabilizer code
- Modular-qudit subsystem color code
- Modular-qudit surface code
- Modulation scheme
- Molecular code
- Monitored random-circuit code
- Monolithic quantum code
- Movassagh-Ouyang Hamiltonian code
- Multi-channel group-orbit code
- Multi-edge LDPC code
- Multi-fusion string-net code
- Multiplicity code
- NTRU-GKP code
- Nearly perfect code
- Neural network code
- Newman-Moore code
- Niemeier lattice code
- Niset-Andersen-Cerf code
- Nonlinear AG code
- Nordstrom-Robinson (NR) code
- Number-phase code
- Numerically optimized bosonic code
- Octacode
- On-off keyed (OOK) c-q code
- One-hot code
- One-hot quantum code
- One-versus-one (OVO) code
- Operator-algebra (OA) qubit code
- Operator-algebra (OA) qubit stabilizer code
- Operator-algebra QECC (OAQECC)
- Optimal LRC
- Orthogonal Spacetime Block Code (OSTBC)
- Orthogonal array (OA)
- Oscillator-into-oscillator GKP code
- Oscillator-into-oscillator code
- Ouyang-Chao constant-excitation PI code
- Ovoid code
- PI qubit code
- PPM c-q code
- PSK c-q code
- Pair-cat code
- Parallel concatenated code
- Parallel-recovery code
- Parvaresh-Vardy (PV) code
- Pastawski-Yoshida-Harlow-Preskill (HaPPY) code
- Penrose tiling code
- Pentacode
- Perfect binary code
- Perfect code
- Perfect quantum code
- Perfect-tensor code
- Permutation spherical code
- Permutation-invariant (PI) code
- Petersen cycle code
- Petersen spherical code
- Phase-shift keying (PSK) code
- Planar-perfect-tensor code
- Plane-curve code
- Pless symmetry code
- Polar c-q code
- Polar code
- Polygon code
- Polynomial evaluation code
- Polyphase code
- Polytope code
- Preparata code
- Prime-qudit RM code
- Prime-qudit RS code
- Prime-qudit triorthogonal code
- Product-matrix (PM) code
- Projective RM (PRM) code
- Projective geometry code
- Projective two-weight code
- Projective-plane surface code
- Protograph LDPC code
- Pulse-amplitude modulation (PAM) code
- Pulse-position modulation (PPM) code
- Quadrature PSK (QPSK) code
- Quadrature-amplitude modulation (QAM) code
- Quadric code
- Quantum Golay code
- Quantum Goppa code
- Quantum Lego code
- Quantum Reed-Muller code
- Quantum Tamo-Barg (QTB) code
- Quantum Tanner code
- Quantum check-product code
- Quantum code
- Quantum convolutional code
- Quantum data-syndrome (QDS) code
- Quantum divisible code
- Quantum duadic code
- Quantum error-correcting code (QECC)
- Quantum error-transmuting code (QETC)
- Quantum expander code
- Quantum lattice code
- Quantum locally recoverable code (QLRC)
- Quantum locally testable code (QLTC)
- Quantum low-density parity-check (QLDPC) code
- Quantum low-weight check (QLWC) code
- Quantum maximum-distance-separable (MDS) code
- Quantum multi-dimensional parity-check (QMDPC) code
- Quantum parity code (QPC)
- Quantum pin code
- Quantum polar code
- Quantum quadratic-residue (QR) code
- Quantum repetition code
- Quantum spatially coupled (SC-QLDPC) code
- Quantum spherical code (QSC)
- Quantum tensor-product code
- Quantum turbo code
- Quantum twisted code
- Quantum-double code
- Quantum-inspired classical block code
- Quasi group-algebra code
- Quasi-cyclic LDPC (QC-LDPC) code
- Quasi-cyclic code
- Quasi-cyclic quantum code
- Quasi-perfect code
- Quasi-twisted code
- Quaternary linear code over \(\mathbb{Z}_4\)
- Qubit BCH code
- Qubit CSS code
- Qubit c-q code
- Qubit code
- Qubit stabilizer code
- Qudit GNU PI code
- Qudit cubic code
- Qudit-into-oscillator code
- Random code
- Random quantum code
- Random stabilizer code
- Random-circuit code
- Rank-metric code
- Rank-modulation Gray code (RMGC)
- Raptor (RAPid TORnado) code
- Raussendorf-Bravyi-Harrington (RBH) cluster-state code
- Real-Clifford subgroup-orbit code
- Rectified Hessian polyhedron code
- Reed-Muller (RM) code
- Reed-Solomon (RS) code
- Regenerating code (RGC)
- Regular LDPC code
- Regular binary Tanner code
- Renormalization group (RG) cat code
- Repeat-accumulate (RA) code
- Repeat-accumulate-accumulate (RAA) code
- Repetition code
- Residue AG code
- Reversible code
- Rhombic dodecahedron surface code
- Ring code
- Root lattice code
- Rotated surface code
- Roth-Lempel code
- Rotor GKP code
- Rotor code
- Rotor stabilizer code
- Ruled-surface code
- SYK code
- Sarvepalli-Brown subsystem code
- Schubert code
- Segre-variety RM-type code
- Self-complementary quantum code
- Self-correcting quantum code
- Self-dual additive code
- Self-dual code over \(R\)
- Self-dual linear code
- Semakov-Zinoviev-Zaitsev (SZZ) equidistant code
- Sequential-recovery code
- Sharp configuration
- Sierpinsky fractal spin-liquid (SFSL) code
- Simplex spherical code
- Single parity-check (SPC) code
- Single-mode bosonic code
- Single-shot code
- Single-spin code
- Singleton-bound approaching AQECC
- Six-qubit-tensor holographic code
- Skew-cyclic CSS code
- Skew-cyclic code
- Slepian group-orbit code
- Sloane-Whitehead code
- Small-distance block code
- Small-distance block quantum code
- Smith \(40\)-point code
- Smolin-Smith-Wehner (SSW) code
- Snub-cube code
- Spacetime block code (STBC)
- Spacetime circuit code
- Spacetime code (STC)
- Sparse subsystem code
- Spatially coupled LDPC (SC-LDPC) code
- Sphere packing
- Spherical code
- Spherical design
- Spherical sharp configuration
- Spin GKP code
- Spin cat code
- Spin code
- Square-antiprism code
- Square-lattice GKP code
- Square-octagon (4.8.8) color code
- Squeezed fock-state code
- Stabilizer code
- Stellated color code
- String-net code
- Subspace design
- Subsystem CSS code
- Subsystem Galois-qudit CSS code
- Subsystem Galois-qudit code
- Subsystem Galois-qudit stabilizer code
- Subsystem QECC
- Subsystem color code
- Subsystem homological product code
- Subsystem hyperbolic surface code
- Subsystem hypergraph product (SHP) code
- Subsystem lifted-product (SLP) code
- Subsystem modular-qudit CSS code
- Subsystem modular-qudit code
- Subsystem modular-qudit stabilizer code
- Subsystem qubit code
- Subsystem qubit stabilizer code
- Subsystem rotated surface code
- Subsystem spacetime circuit code
- Subsystem surface code
- Surface-17 code
- Surface-code-fragment (SCF) holographic code
- Suzuki-curve code
- Symmetry-protected self-correcting quantum code
- Symmetry-protected topological (SPT) code
- Ta-Shma zigzag code
- Tamo-Barg code
- Tamo-Barg-Vladut code
- Tanner code
- Tanner-Sridhara-Fuja (TSF) code
- Tensor-product HDX code
- Tensor-product code
- Ternary Golay code
- Ternary-tree fermion-into-qubit code
- Tetracode
- Tetrahedral color code
- Three-fermion (3F) Walker-Wang model code
- Three-fermion (3F) subsystem code
- Three-qutrit code
- Three-rotor code
- Topological code
- Toric code
- Tornado code
- Torus-layer spherical code (TLSC)
- Traceability code
- Transverse-field Ising model (TFIM) code
- Tree cluster-state code
- Triangular surface code
- Triorthogonal code
- True Galois-qudit stabilizer code
- Truncated trihexagonal (4.6.12) color code
- Tsfasman-Vladut-Zink (TVZ) code
- Turbo code
- Twist-defect color code
- Twist-defect surface code
- Twisted BCH code
- Twisted XZZX toric code
- Twisted \(1\)-group code
- Twisted quantum double (TQD) code
- Two-block CSS code
- Two-block group-algebra (2BGA) codes
- Two-component cat code
- Two-gauge theory code
- Two-mode binomial code
- Two-weight code
- Type-II fractal spin-liquid code
- Unary code
- Unimodular lattice code
- Union stabilizer (USt) code
- Universally optimal \(q\)-ary code
- Universally optimal code
- Universally optimal sphere packing
- Universally optimal spherical code
- Valence-bond-solid (VBS) code
- Varshamov-Tenengolts (VT) code
- Vasilyev code
- Very small logical qubit (VSLQ) code
- W-state code
- Walker-Wang model code
- Wasilewski-Banaszek code
- Weighed-covering code
- Weight-two code
- Witting polytope code
- Wozencraft ensemble code
- Wrapped spherical code
- X-code
- X-cube Floquet code
- X-cube model code
- XP stabilizer code
- XS stabilizer code
- XY surface code
- XYZ color code
- XYZ product code
- XYZ ruby Floquet code
- XYZ\(^2\) hexagonal stabilizer code
- XZZX surface code
- Yoked surface code
- Zero-pi qubit code
- Zetterberg code
- \(((10,24,3))\) qubit code
- \(((2^m,2^{2^m−5m+1},8))\) Goethals-Preparata code
- \(((3,6,2))_{\mathbb{Z}_6}\) Euler code
- \(((5+2r,3\times 2^{2r+1},2))\) Rains code
- \(((5,3,2))_3\) qutrit code
- \(((5,6,2))\) qubit code
- \(((7,2))\) QETC
- \(((7,2,3))\) Pollatsek-Ruskai code
- \(((9,12,3))\) qubit code
- \(((9,2,3))\) Ruskai code
- \(((n,1+n(q-1),2))_q\) union stabilizer code
- \(((n,1,2))\) Bravyi-Lee-Li-Yoshida PI code
- \((1,3)\) 4D toric code
- \((5,1,2)\)-convolutional code
- \((u|u+v)\)-construction code
- \(3_{21}\) polytope code
- \(A_2\) hexagonal lattice code
- \(A_n\) lattice code
- \(A_n^{\perp}\) lattice code
- \(BW_{32}\) Barnes-Wall lattice code
- \(BW_{32}\) lattice-shell code
- \(D\)-dimensional twisted toric code
- \(D_3\) face-centered cubic (fcc) lattice code
- \(D_4\) hyper-diamond GKP code
- \(D_4\) hyper-diamond lattice code
- \(D_4\) lattice-shell code
- \(D_n\) checkerboard lattice code
- \(ED_m\) code
- \(E_6\) lattice-shell code
- \(E_6\) root lattice code
- \(E_7\) lattice-shell code
- \(E_7\) root lattice code
- \(E_8\) Gosset lattice code
- \(E_8\) Gosset lattice-shell code
- \(G\)-covariant erasure code
- \(G\)-enriched Walker-Wang model code
- \(R\)-linear code
- \(SU(3)\) spin code
- \(U(d)\)-covariant approximate erasure code
- \([2^m,m+1,2^{m-1}]\) First-order RM code
- \([2^m-1,m,2^{m-1}]\) simplex code
- \([2^r,2^r-r-1,4]\) Extended Hamming code
- \([2^r-1,2^r-r-1,3]\) Hamming code
- \([48,24,12]\) self-dual code
- \([56,6,36]_3\) Hill-cap code
- \([7,3,4]\) simplex code
- \([7,4,3]\) Hamming code
- \([78,6,56]_4\) Hill-cap code
- \([8,4,4]\) extended Hamming code
- \([[10,1,2]]\) CSS code
- \([[10,1,4]]_{G}\) tenfold code
- \([[11,1,5]]\) quantum dodecacode
- \([[11,1,5]]_3\) qutrit Golay code
- \([[12,2,4]]\) carbon code
- \([[13,1,5]]\) cyclic code
- \([[144,12,12]]\) gross code
- \([[15, 7, 3]]\) quantum Hamming code
- \([[15,1,3]]\) quantum Reed-Muller code
- \([[2^D,D,2]]\) hypercube quantum code
- \([[2^r, 2^r-r-2, 3]]\) Gottesman code
- \([[2^r-1, 2^r-2r-1, 3]]\) quantum Hamming code
- \([[2^r-1, 2^r-2r-1, 3]]_p\) quantum Hamming code
- \([[2^r-1,1,3]]\) simplex code
- \([[2^{2r-1}-1,1,2^r-1]]\) quantum punctured Reed-Muller code
- \([[2m,2m-2,2]]\) error-detecting code
- \([[3, 1, 3;2]]\) EA code
- \([[30,8,3]]\) Bring code
- \([[3k + 8, k, 2]]\) triorthogonal code
- \([[4,1,1,2]]\) Four-qubit subsystem code
- \([[4,2,2]]\) Four-qubit code
- \([[4,2,2]]_{G}\) four group-qudit code
- \([[49,1,5]]\) triorthogonal code
- \([[5,1,2]]\) rotated surface code
- \([[5,1,3]]_q\) Galois-qudit code
- \([[5,1,3]]_{\mathbb{R}}\) Braunstein five-mode code
- \([[5,1,3]]_{\mathbb{Z}_q}\) modular-qudit code
- \([[6,1,3]]\) Six-qubit stabilizer code
- \([[6,2,2]]\) \(C_6\) code
- \([[6,2,3]]_{q}\) code
- \([[6,4,2]]\) error-detecting code
- \([[6k+2,3k,2]]\) Campbell-Howard code
- \([[7, 1:1, 3]]\) hybrid stabilizer code
- \([[7,1,3]]\) Steane code
- \([[7,1,3]]\) twist-defect surface code
- \([[7,3,3]]_{q}\) code
- \([[8, 2:1, 3]]\) hybrid stabilizer code
- \([[8, 3, 3]]\) Eight-qubit Gottesman code
- \([[8,2,2]]\) hyperbolic color code
- \([[8,3,2]]\) CSS code
- \([[9,1,3]]\) Shor code
- \([[9,1,3]]_{\mathbb{R}}\) Lloyd-Slotine code
- \([[9,1,3]]_{\mathbb{Z}_q}\) modular-qudit code
- \([[9,1,5]]_3\) quantum Glynn code
- \([[9m-k,k,2]]_3\) triorthogonal code
- \([[k+4,k,2]]\) H code
- \(\Lambda_{16}\) Barnes-Wall lattice code
- \(\Lambda_{16}\) lattice-shell code
- \(\Lambda_{24}\) Leech lattice code
- \(\Lambda_{24}\) Leech lattice-shell code
- \(\chi^{(2)}\) code
- \(\mathbb{Z}^n\) hypercubic lattice code
- \(\mathbb{Z}_3\times\mathbb{Z}_9\)-fusion subsystem code
- \(\mathbb{Z}_q^{(1)}\) subsystem code
- \(k\)-orthogonal code
- \(q\)-ary Hamming code
- \(q\)-ary LDGM code
- \(q\)-ary LDPC code
- \(q\)-ary code over \(\mathbb{Z}_q\)
- \(q\)-ary duadic code
- \(q\)-ary linear LCC
- \(q\)-ary linear LTC
- \(q\)-ary linear code over \(\mathbb{Z}_q\)
- \(q\)-ary parity-check code
- \(q\)-ary protograph LDPC code
- \(q\)-ary quadratic-residue (QR) code
- \(q\)-ary repetition code
- \(q\)-ary sharp configuration
- \(q\)-ary simplex code
- \(t\)-erasure LRC
- Æ code