Here are a gigantic list of all the codes, sorted alphabetically, that were included in the error correction zoo.
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120-cell code
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2T-qutrit code
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3D surface code
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600-cell code
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Abelian topological code
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Additive \(q\)-ary code
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Alamouti code
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Algebraic-geometry (AG) code
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Alternant code
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Analog stabilizer code
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Analog surface code
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Annealing-based spherical code
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Anticode
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Antipode lattice code
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Approximate quantum error-correcting code (AQECC)
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Approximate secret-sharing code
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Availability code
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BPSK c-q code
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Bacon-Shor code
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Balanced code
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Balanced product code
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Barnes-Wall (BW) lattice code
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Batch code
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Ben-Sasson-Goldreich-Harsha-Sudan-Vadhan (BGHSV) code
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Ben-Sasson-Sudan code
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Ben-Sasson-Sudan-Vadhan-Wigderson (BSVW) code
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Best code
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Binary BCH code
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Binary PSK (BPSK) code
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Binary Varshamov-Tenengolts (VT) code
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Binary antipodal code
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Binary balanced spherical code
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Binary code
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Binary duadic code
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Binary linear LTC
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Binary permutation-based code
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Binary quadratic-residue (QR) code
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Binary quantum Goppa code
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Binomial code
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Biorthogonal spherical code
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Bose–Chaudhuri–Hocquenghem (BCH) code
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Bosonic c-q code
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Bosonic code
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Bosonic rotation code
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Bosonic stabilizer code
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Braunstein five-mode code
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Bravyi-Bacon-Shor (BBS) code
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CSS classical product code
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Calderbank-Shor-Steane (CSS) stabilizer code
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Cartier code
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Cat code
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Category-based quantum code
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Chebyshev code
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Chuang-Leung-Yamamoto (CLY) code
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Classical Goppa code
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Classical-quantum (c-q) code
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Clifford-deformed surface code (CDSC)
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Codeword stabilized (CWS) code
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Coherent FSK (CFSK) c-q code
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Coherent-state constellation code
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Color code
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Complete-intersection RM-type code
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Concatenated code
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Concatenated quantum code
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Constant-energy code
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Constant-excitation (CE) code
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Constant-excitation permutation-invariant code
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Constant-weight code
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Convolutional code
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Covariant code
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Covering code
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Coxeter-Todd \(K_{12}\) lattice code
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Crystalline-circuit code
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Cubeoctahedron code
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Cyclic code
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Cyclic linear \(q\)-ary code
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Cyclic linear binary code
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Cyclic quantum code
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Deligne-Lusztig code
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Denniston code
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Dinur code
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Dinur-Hsieh-Lin-Vidick (DHLV) code
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Disphenoidal \(288\)-cell code
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Distance-balanced code
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Distributed-storage code
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Divisible code
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Dodecacode
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Double-semion code
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Doubled color code
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Dual additive code
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Dual linear code
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Dual-rail quantum code
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Dynamically-generated QECC
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EA analog stabilizer code
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EA qubit stabilizer code
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Eigenstate thermalization hypothesis (ETH) code
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Elliptic code
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Entanglement-assisted (EA) QECC
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Entanglement-assisted (EA) operator QECC
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Entanglement-assisted hybrid classical-quantum (EACQ) code
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Error-corrected sensing code
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Error-correcting code (ECC)
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Evaluation AG code
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Evaluation code
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Expander code
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Expander lifted-product code
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Extended GRS code
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Fermionic code
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Fiber-bundle code
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Fibonacci code
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Fibonacci string-net code
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Finite-dimensional error-correcting code (ECC)
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Finite-dimensional quantum error-correcting code
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Five-qubit perfect code
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Five-qudit code
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Five-rotor code
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Flag-variety code
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Floquet code
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Floquet color code
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Fock-state bosonic code
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Folded RS (FRS) code
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Folded quantum Reed-Solomon (FQRS) code
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Fountain code
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Fractal surface code
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Fracton code
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Freedman-Meyer-Luo code
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Frequency-shift keyring (FSK) code
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Frobenius code
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Fusion-based quantum computing (FBQC) code
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GKP cluster-state code
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GKP-stabilizer code
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GNU permutation-invariant code
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Gabidulin code
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Galois-field \(q\)-ary code
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Galois-qudit BCH code
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Galois-qudit CSS code
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Galois-qudit GRS code
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Galois-qudit RS code
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Galois-qudit code
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Galois-qudit non-stabilizer code
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Galois-qudit stabilizer code
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Galois-qudit topological code
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Generalized RM (GRM) code
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Generalized RS (GRS) code
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Generalized color code
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Generalized concatenated code
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Generalized homological product CSS code
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Generalized homological product code
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Golay code
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Gold code
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Golden code
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Goldreich-Sudan code
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Good QLDPC code
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Gottesman-Kitaev-Preskill (GKP) code
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Graph homology code
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Grassmannian code
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Gray code
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Griesmer code
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Gross spin code
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Group GKP code
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Group-algebra code
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Group-alphabet code
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Group-based quantum code
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Group-orbit code
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Groupoid toric code
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Guth-Lubotzky code
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Haah cubic code
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Haar-random code
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Hadamard code
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Hamiltonian-based code
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Hamming code
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Hansen toric code
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Heavy-hexagon code
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Hemicubic code
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Hermitian code
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Hermitian-hypersurface code
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Hessian polyhedron code
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Hexacode
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Hexagonal GKP code
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Higher-dimensional surface code
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Holographic code
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Homological bosonic code
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Homological product code
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Honeycomb Floquet code
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Hybrid qudit-oscillator code
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Hyperbolic surface code
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Hypergraph product code
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Hypersphere product code
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Icosahedron code
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Identifiable parent property (IPP) code
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Incidence-matrix projective code
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Interleaved RS (IRS) code
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Justesen code
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Kitaev honeycomb code
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Kitaev surface code
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Klein-quartic code
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Kopparty-Meir-Ron-Zewi-Saraf (KMRS) code
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Laminated spherical code
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Lattice-based code
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Lattice-shell code
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Left-right Cayley complex code
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Levenshtein code
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Lifted-product (LP) code
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Linear \(q\)-ary code
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Linear binary code
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Linear code
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Linear code over \(G\)
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Lloyd-Slotine nine-mode code
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Local Haar-random circuit code
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Locally recoverable code (LRC)
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Locally testable code (LTC)
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Long code
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Low-density generator-matrix (LDGM) code
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Low-density parity-check (LDPC) code
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Low-depth random Clifford-circuit code
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Low-rank parity-check (LRPC) code
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Luby transform (LT) code
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Majorana stabilizer code
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Matching code
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Matrix computation code
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Matrix-based code
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Matrix-model code
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Matrix-product code
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Matrix-product state (MPS) code
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Maximum distance separable (MDS) code
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Maximum-rank distance (MRD) code
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Meir code
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Melas code
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Metrological code
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Minimum-bandwidth regenerating (MBR) code
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Minimum-storage regenerating (MSR) code
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Mod-2 lattice code
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Modular-qudit CSS code
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Modular-qudit code
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Modular-qudit stabilizer code
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Modular-qudit surface code
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Molecular code
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Monitored random-circuit code
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Movassagh-Ouyang Hamiltonian code
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Multi-fusion string-net code
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Multi-mode GKP code
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Nearly perfect code
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Niemeier lattice code
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Niset-Andersen-Cerf code
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Nonlinear AG code
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Number-phase code
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Numerically optimized code
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Octacode
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On-off keyed (OOK) c-q code
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One-hot code
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Operator-algebra error-correcting code
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Orthogonal Spacetime Block Code (OSTBC)
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Oscillator-into-oscillator code
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PPM c-q code
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PSK c-q code
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Pair-cat code
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Parallel concatenated code
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Parallel-recovery code
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Parvaresh-Vardy (PV) code
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Pastawski-Yoshida-Harlow-Preskill (HaPPY) code
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Perfect code
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Perfect quantum code
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Permutation spherical code
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Permutation-invariant code
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Phase-shift keyring (PSK) code
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Plane-curve code
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Polar c-q code
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Polar code
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Polynomial evaluation code
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Polyphase code
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Polytope code
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Projective RM (PRM) code
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Projective geometry code
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Projective-plane surface code
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Pulse-amplitude modulation (PAM) code
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Pulse-position modulation (PPM) code
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Quadrature PSK (QPSK) code
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Quadrature-amplitude modulation (QAM) code
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Quadric code
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Quantum Lego code
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Quantum Reed-Muller code
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Quantum Reed-Solomon code
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Quantum Tanner code
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Quantum check-product code
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Quantum code
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Quantum convolutional code
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Quantum divisible code
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Quantum error-correcting code (QECC)
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Quantum expander code
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Quantum locally testable code (QLTC)
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Quantum low-density parity-check (QLDPC) code
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Quantum maximum-distance-separable (MDS) code
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Quantum parity code (QPC)
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Quantum polar code
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Quantum quasi-cyclic code
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Quantum repetition code
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Quantum-double code
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Quasi-cyclic code
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Quasi-perfect code
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Quaternary code over \(\mathbb{Z}_4\)
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Qubit BCH code
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Qubit c-q code
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Qubit code
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Qubit stabilizer code
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Qudit-into-oscillator code
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Ramanujan-complex product code
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Random code
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Random quantum code
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Random-circuit code
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Rank-metric code
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Rank-modulation Gray code (RMGC)
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Raptor (RAPid TORnado) code
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Raussendorf-Bravyi-Harrington (RBH) code
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Real-Clifford subgroup-orbit code
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Rectified Hessian polyhedron code
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Reed-Muller (RM) code
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Reed-Solomon (RS) code
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Regenerating code (RGC)
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Renormalization group (RG) cat code
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Repetition code
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Residue AG code
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Reversible code
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Ring code
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Root lattice code
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Rotated surface code
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Rotor GKP code
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Rotor code
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Ruled-surface code
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Schubert code
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Self-correcting quantum code
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Sequential-recovery code
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Serge-variety RM-type code
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Simplex code
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Simplex spherical code
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Single parity-check (SPC) code
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Single-mode bosonic code
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Single-spin code
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Singleton-bound approaching AQECC
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Skew-cyclic CSS code
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Skew-cyclic code
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Slepian group-orbit code
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Snub-cube code
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Spacetime block code (STBC)
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Spacetime code (STC)
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Sphere packing
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Spherical code
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Spin GKP code
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Spin cat code
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Spin code
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Square-antiprism code
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Stabilizer code
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Stabilizer code over \(GF(4)\)
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Stabilizer code over \(GF(q^2)\)
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String-net code
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Subsystem color code
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Subsystem modular-qudit stabilizer code
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Subsystem quantum error-correcting code
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Subsystem qubit stabilizer code
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Subsystem rotated surface code
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Subsystem surface code
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Surface-17 code
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Suzuki-curve code
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Symmetry-protected self-correcting quantum code
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Ta-Shma zigzag code
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Tanner code
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Tensor-product code
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Tensored-Ramanujan-complex product code
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Ternary Golay Code
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Tetracode
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Three qutrit code
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Three-rotor code
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Topological code
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Tornado code
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Torus-layer spherical code (TLSC)
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Translationally invariant stabilizer code
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Transverse-field Ising model (TFIM) code
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Triorthogonal code
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True Galois-qudit stabilizer code
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Tsfasman-Vladut-Zink (TVZ) code
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Two-component cat code
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Two-dimensional hyperbolic surface code
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Unimodular lattice code
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Very small logical qubit (VSLQ) code
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W-state code
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Wasilewski-Banaszek code
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Weighed-covering code
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Weight-two code
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Witting polytope code
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Wozencraft ensemble code
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Wrapped spherical code
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XP stabilizer code
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XS stabilizer code
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XY surface code
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XYZ product code
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XYZ\(^2\) hexagonal stabilizer code
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XZZX surface code
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Zetterberg code
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\((5,1,2)\)-convolutional code
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\(24\)-cell code
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\(A_2\) hexagonal lattice code
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\(BW_{32}\) Barnes-Wall lattice code
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\(BW_{32}\) lattice-shell code
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\(D_3\) face-centered cubic (fcc) lattice code
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\(D_4\) GKP code
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\(D_4\) hyper-diamond lattice code
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\(D_4\) lattice-shell code
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\(D_n\) checkerboard lattice code
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\(E_6\) lattice-shell code
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\(E_6\) root lattice code
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\(E_7\) root lattice code
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\(E_8\) Gosset lattice code
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\(E_8\) Gosset lattice-shell code
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\(G\)-covariant erasure code
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\(R\)-linear code
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\(U(d)\)-covariant approximate erasure code
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\([7,4,3]\) Hamming code
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\([[15, 7, 3]]\) Hamming-based CSS code
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\([[15,1,3]]\) quantum Reed-Muller code
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\([[2^r, 2^r-r-2, 3]]\) quantum Hamming code
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\([[2^r-1, 1, 3]]\) quantum Reed-Muller code
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\([[2^r-1, 2^r-2r-1, 3]]\) Hamming-based CSS code
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\([[2^r-1, 2^r-2r-1, 3]]_p\) prime-qudit CSS code
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\([[2^{2r-1}-1,1,2^r-1]]\) quantum punctured Reed-Muller code
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\([[2m,2m-2,2]]\) error-detecting code
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\([[4,2,2]]\) CSS code
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\([[7,1,3]]\) Steane code
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\([[8,3,2]]\) code
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\([[9,1,3]]\) Shor code
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\([[k+4,k,2]]\) H code
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\(\Lambda_{16}\) Barnes-Wall lattice code
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\(\Lambda_{16}\) lattice-shell code
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\(\Lambda_{24}\) Leech lattice code
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\(\Lambda_{24}\) Leech lattice-shell code
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\(\chi^{(2)}\) code
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\(\mathbb{Z}^n\) hypercubic lattice code
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\(q\)-ary Hamming code
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\(q\)-ary code over \(\mathbb{Z}_q\)
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\(q\)-ary duadic code
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\(q\)-ary linear LTC
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\(q\)-ary parity-check code
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\(q\)-ary quadratic-residue (QR) code
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\(q\)-ary repetition code