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CodingTheory.jl
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    • Linear codes
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    • Message-passing decoding
    • Minimum distance
    • Input and output
    • Weight reduction
    • Core API
    • Cyclic codes
    • Quasi-cyclic codes
    • Generalized Reed–Solomon codes
    • Reed–Muller codes
    • New codes from old
    • Concatenation
    • Product codes
    • Known codes
    • Minimum distance
    • Information-set decoding
    • Designs and invariant theory
    • Constructions
    • Tanner codes
    • Analysis
    • Cycles and ACE
    • Channels
    • Decoders
    • Generalized belief propagation
    • Core API
    • Subsystem codes
    • Product and BB codes
    • Known codes
    • New codes from old
    • Minimum distance
    • Bounds and weight enumerators
    • Quantum LDPC parameters
    • Weight reduction
    • Homological measurements
    • Expansion and confinement
    • Weight enumerators
    • Trellises
    • Tilings
    • Input and output
    • Utilities
    • Vardy–Be'ery decomposition
    • Quantum Reed–Muller codes
  • References
  • Function index
Version
  • Function index
  • Function index

  • CodingTheory.AbstractAdditiveCode
  • CodingTheory.AbstractAlgebraicGeometryCode
  • CodingTheory.AbstractAlternateCode
  • CodingTheory.AbstractBCHCode
  • CodingTheory.AbstractChannel
  • CodingTheory.AbstractCode
  • CodingTheory.AbstractConcatenatedCode
  • CodingTheory.AbstractContinuousChannel
  • CodingTheory.AbstractCyclicCode
  • CodingTheory.AbstractCyclicCode2D
  • CodingTheory.AbstractDiscreteChannel
  • CodingTheory.AbstractEAStabilizerCode
  • CodingTheory.AbstractEAStabilizerCodeCSS
  • CodingTheory.AbstractEASubsystemCode
  • CodingTheory.AbstractEASubsystemCodeCSS
  • CodingTheory.AbstractGeneralizedReedSolomonCode
  • CodingTheory.AbstractGeneralizedSrivastavaCode
  • CodingTheory.AbstractGoppaCode
  • CodingTheory.AbstractGraphStateStabilizer
  • CodingTheory.AbstractGraphStateStabilizerCSS
  • CodingTheory.AbstractGraphStateSubsystem
  • CodingTheory.AbstractGraphStateSubsystemCSS
  • CodingTheory.AbstractHypergraphProductCode
  • CodingTheory.AbstractLDPCCode
  • CodingTheory.AbstractLDPCFamily
  • CodingTheory.AbstractLinearCode
  • CodingTheory.AbstractMatrixProductCode
  • CodingTheory.AbstractNonadditiveCode
  • CodingTheory.AbstractNonlinearCode
  • CodingTheory.AbstractQuasiCyclicCode
  • CodingTheory.AbstractReedMullerCode
  • CodingTheory.AbstractReedSolomonCode
  • CodingTheory.AbstractStabilizerCode
  • CodingTheory.AbstractStabilizerCodeCSS
  • CodingTheory.AbstractSubsystemCode
  • CodingTheory.AbstractSubsystemCodeCSS
  • CodingTheory.AbstractTannerCode
  • CodingTheory.AbstractTwistedReedSolomonCode
  • CodingTheory.AlternateCode
  • CodingTheory.BAWGNChannel
  • CodingTheory.BBCode
  • CodingTheory.BBCode
  • CodingTheory.BBCode
  • CodingTheory.BBCode
  • CodingTheory.BBCode
  • CodingTheory.BBCode
  • CodingTheory.BCHCode
  • CodingTheory.BiasTailoredLiftedProductCode
  • CodingTheory.BinaryErasureChannel
  • CodingTheory.BinarySymmetricChannel
  • CodingTheory.CSSTrait
  • CodingTheory.CoxeterMatrix
  • CodingTheory.CyclicCode
  • CodingTheory.CyclicCode
  • CodingTheory.CyclicCode
  • CodingTheory.CyclicCode
  • CodingTheory.FiniteGeneralized3DToricCode
  • CodingTheory.FiniteGeneralized3DToricCode
  • CodingTheory.FiniteGeneralized3DToricCode
  • CodingTheory.GBPWorkspace
  • CodingTheory.GRANDWorkspace
  • CodingTheory.GabidulinCode
  • CodingTheory.GaugeTrait
  • CodingTheory.Generalized3DToricCode
  • CodingTheory.Generalized3DToricCode
  • CodingTheory.GeneralizedBicycleCode
  • CodingTheory.GeneralizedBicycleCode
  • CodingTheory.GeneralizedBicycleCode
  • CodingTheory.GeneralizedReedSolomonCode
  • CodingTheory.GeneralizedReedSolomonCode
  • CodingTheory.GeneralizedReedSolomonCode
  • CodingTheory.GeneralizedReedSolomonCode
  • CodingTheory.GeneralizedShorCode
  • CodingTheory.GeneralizedSrivastavaCode
  • CodingTheory.GoppaCode
  • CodingTheory.HammingCode
  • CodingTheory.HammingWeightEnumerator
  • CodingTheory.HasGauges
  • CodingTheory.HasLogicals
  • CodingTheory.HasNoGauges
  • CodingTheory.HasNoLogicals
  • CodingTheory.HyperBicycleCode
  • CodingTheory.HyperBicycleCodeCSS
  • CodingTheory.HypergraphProductCode
  • CodingTheory.InfiniteBBCode
  • CodingTheory.InfiniteBBCode
  • CodingTheory.IsCSS
  • CodingTheory.IsNotCSS
  • CodingTheory.LDPCCode
  • CodingTheory.LDPCCode
  • CodingTheory.LDPCEnsemble
  • CodingTheory.LDPCEnsemble
  • CodingTheory.LiftedProductCode
  • CodingTheory.LinearCode
  • CodingTheory.LinearCode
  • CodingTheory.LinearCode
  • CodingTheory.LinearCode
  • CodingTheory.LinearCode
  • CodingTheory.LogicalTrait
  • CodingTheory.METEnsemble
  • CodingTheory.MacDonaldCode
  • CodingTheory.MatrixProductCode
  • CodingTheory.OSDWorkspace
  • CodingTheory.QuantumConcatenatedCode
  • CodingTheory.QuantumLPResult
  • CodingTheory.QuasiCyclicCode
  • CodingTheory.QuasiCyclicCode
  • CodingTheory.QuasiCyclicCode
  • CodingTheory.QuasiCyclicCode
  • CodingTheory.QuasiCyclicCode
  • CodingTheory.RayleighFadingChannel
  • CodingTheory.ReedMullerCode
  • CodingTheory.ReedSolomonCode
  • CodingTheory.ReflectionGroup
  • CodingTheory.Region
  • CodingTheory.RegionGraph
  • CodingTheory.ShorLaflammeWeightEnumerator
  • CodingTheory.SimplexCode
  • CodingTheory.SoftDecisionWorkspace
  • CodingTheory.StabilizerCode
  • CodingTheory.StabilizerCode
  • CodingTheory.StabilizerCode
  • CodingTheory.StabilizerCode
  • CodingTheory.StabilizerCode
  • CodingTheory.StabilizerCodeCSS
  • CodingTheory.StabilizerCodeCSS
  • CodingTheory.StabilizerCodeCSS
  • CodingTheory.StabilizerCodeCSS
  • CodingTheory.StabilizerCodeCSS
  • CodingTheory.SubsystemCode
  • CodingTheory.SubsystemCode
  • CodingTheory.SubsystemCode
  • CodingTheory.SubsystemCode
  • CodingTheory.SubsystemCode
  • CodingTheory.SubsystemCodeCSS
  • CodingTheory.TannerCode
  • CodingTheory.TannerCode
  • CodingTheory.TannerCode
  • CodingTheory.TannerCode
  • CodingTheory.TwistedReedSolomonCode
  • CodingTheory.WBFWorkspace
  • CodingTheory.ZChannel
  • AbstractAlgebra.generators
  • AbstractAlgebra.generators
  • AbstractAlgebra.is_irreducible
  • AbstractAlgebra.is_irreducible
  • AbstractAlgebra.is_separable
  • AbstractAlgebra.order
  • AbstractAlgebra.polynomial
  • AbstractAlgebra.polynomial
  • AbstractAlgebra.polynomial_ring
  • AbstractAlgebra.vector_space
  • Base.:/
  • Base.:⊆
  • Base.:⊆
  • Base.:⊊
  • Base.copy
  • Base.in
  • Base.length
  • Base.length
  • Base.zeros
  • CodingTheory.:×
  • CodingTheory.:⊂
  • CodingTheory.:⊂
  • CodingTheory.:⊠
  • CodingTheory.ACE_distribution
  • CodingTheory.ACE_spectrum
  • CodingTheory.ACE_spectrum_plot
  • CodingTheory.AugmentedBravyiBaconShorCode
  • CodingTheory.BBCode3D
  • CodingTheory.BCH_bound
  • CodingTheory.BCH_offset
  • CodingTheory.BJMM_attack
  • CodingTheory.Bachoc_Gaborit_bound
  • CodingTheory.BaconCasaccinoConstruction
  • CodingTheory.BaconShorCode
  • CodingTheory.BaconShorCode
  • CodingTheory.BicycleCode
  • CodingTheory.BicycleCode
  • CodingTheory.BicycleCode
  • CodingTheory.BravyiBaconShorCode
  • CodingTheory.CSSCode
  • CodingTheory.CSSSubsystemCode
  • CodingTheory.Canteaut_Chabaud_attack
  • CodingTheory.Cheeger_constant
  • CodingTheory.Cheeger_constant
  • CodingTheory.CleveGottesmanCode
  • CodingTheory.ColorCode4612
  • CodingTheory.DOOM_Stern_attack
  • CodingTheory.DuadicCodes
  • CodingTheory.EXIT_chart_data
  • CodingTheory.EXIT_chart_data
  • CodingTheory.EXIT_chart_data
  • CodingTheory.EXIT_chart_plot
  • CodingTheory.EuclideanGeometryCode
  • CodingTheory.Euclidean_dual
  • CodingTheory.Euclidean_hull
  • CodingTheory.ExtendedGolayCode
  • CodingTheory.ExtendedHammingCode
  • CodingTheory.FireCode
  • CodingTheory.FiveQubitCode
  • CodingTheory.GallagerCode
  • CodingTheory.GaugedShorCode
  • CodingTheory.GeneralizedBCHCode
  • CodingTheory.GeneralizedBaconShorCode
  • CodingTheory.GeneralizedGabidulinCode
  • CodingTheory.GeneralizedHypergraphProductCode
  • CodingTheory.Gilbert_Varshamov_bound
  • CodingTheory.Gleason_bound
  • CodingTheory.GolayCode
  • CodingTheory.Goppa_polynomial
  • CodingTheory.GrossCode
  • CodingTheory.HCode
  • CodingTheory.HT_bound
  • CodingTheory.HaahsCubicCode
  • CodingTheory.HadamardCode
  • CodingTheory.Hadamard_product_code
  • CodingTheory.Hamming_distance
  • CodingTheory.Hamming_weight
  • CodingTheory.HeavyHexCode
  • CodingTheory.HeavySquareCode
  • CodingTheory.Hermitian_conjugate_matrix
  • CodingTheory.Hermitian_dual
  • CodingTheory.Hermitian_hull
  • CodingTheory.Hermitian_inner_product
  • CodingTheory.Hexacode
  • CodingTheory.IdentityCode
  • CodingTheory.IdentityCode
  • CodingTheory.IdentityCode
  • CodingTheory.Krawtchouk
  • CodingTheory.LDPC_codes
  • CodingTheory.LP_decoder_LDPC
  • CodingTheory.Laurent_polynomial_ring
  • CodingTheory.Lee_Brickell_attack
  • CodingTheory.Leon_attack
  • CodingTheory.Lexicode
  • CodingTheory.LocalBravyiBaconShorCode
  • CodingTheory.MMT_attack
  • CodingTheory.MacWilliams_HWE_transform
  • CodingTheory.MacWilliams_transform
  • CodingTheory.Mackay_Neal
  • CodingTheory.Mallows_Sloane_bound
  • CodingTheory.MattsonSolomon_transform
  • CodingTheory.NappPreskill3DCode
  • CodingTheory.NappPreskill4DCode
  • CodingTheory.PEXIT_chart_data
  • CodingTheory.PlanarSurfaceCode
  • CodingTheory.PlanarSurfaceCode3D
  • CodingTheory.PlanarSurfaceCode3D_X
  • CodingTheory.Plotkin_construction
  • CodingTheory.PolyadicCodes
  • CodingTheory.Prange_attack
  • CodingTheory.ProjectiveGeometryCode
  • CodingTheory.Q1513
  • CodingTheory.Q1573
  • CodingTheory.Q15RM
  • CodingTheory.Q412
  • CodingTheory.Q422
  • CodingTheory.Q511
  • CodingTheory.Q513
  • CodingTheory.Q713
  • CodingTheory.Q823
  • CodingTheory.Q832
  • CodingTheory.Q913
  • CodingTheory.Q9143
  • CodingTheory.QC4
  • CodingTheory.QC6
  • CodingTheory.QuadraticResidueCode
  • CodingTheory.QuantumGolayCode
  • CodingTheory.QuantumRepetitionCode
  • CodingTheory.Quintavalle_basis
  • CodingTheory.RM_m
  • CodingTheory.RM_r
  • CodingTheory.RandomBooleanFunction
  • CodingTheory.RandomGabidulinCode
  • CodingTheory.RandomGeneralizedReedSolomonCode
  • CodingTheory.RandomGoppaCode
  • CodingTheory.RandomMatrixProductCode
  • CodingTheory.RandomPermutedReedMullerCode
  • CodingTheory.RandomRMCoset
  • CodingTheory.RandomTwistedReedSolomonCode
  • CodingTheory.RepetitionCode
  • CodingTheory.Roos_bound
  • CodingTheory.RotatedSurfaceCode
  • CodingTheory.SC_LDPCCode
  • CodingTheory.SL_weight_enumerator
  • CodingTheory.SPCCode
  • CodingTheory.SPCDFoldProductCode
  • CodingTheory.Schur_product_code
  • CodingTheory.ShorCode
  • CodingTheory.Shor_Laflamme_weight_enumerator
  • CodingTheory.SingleParityCheckCode
  • CodingTheory.SingleParityCheckDFoldProductCode
  • CodingTheory.Singleton_bound
  • CodingTheory.Singleton_bound
  • CodingTheory.Singleton_bound
  • CodingTheory.Sipser_Spielman_bound
  • CodingTheory.SmallestInterestingColorCode
  • CodingTheory.SrivastavaCode
  • CodingTheory.SteaneCode
  • CodingTheory.Stern_attack
  • CodingTheory.SubsystemSurfaceCode
  • CodingTheory.SubsystemSurfaceCode
  • CodingTheory.SubsystemToricCode
  • CodingTheory.SubsystemToricCode
  • CodingTheory.Tanner_graph
  • CodingTheory.Tanner_graph
  • CodingTheory.Tanner_graph
  • CodingTheory.Tanner_graph_X
  • CodingTheory.Tanner_graph_Z
  • CodingTheory.Tanner_graph_plot
  • CodingTheory.TetraCode
  • CodingTheory.TetradicCodes
  • CodingTheory.ToricCode
  • CodingTheory.ToricCode3D
  • CodingTheory.ToricCode3D_X
  • CodingTheory.ToricCode4D
  • CodingTheory.ToricColorCode666
  • CodingTheory.TriadicCodes
  • CodingTheory.TriangularColorCode488
  • CodingTheory.TriangularColorCode666
  • CodingTheory.TriangularSurfaceCode
  • CodingTheory.TwistDefectSurfaceCode
  • CodingTheory.WalshCode
  • CodingTheory.WalshHadamardCode
  • CodingTheory.XCubeModel
  • CodingTheory.XYSurfaceCode
  • CodingTheory.XZZXSurfaceCode
  • CodingTheory.XZ_minimum_distance
  • CodingTheory.X_LDPC_code
  • CodingTheory.X_check_degree_distribution
  • CodingTheory.X_column_bound
  • CodingTheory.X_column_row_bounds
  • CodingTheory.X_degree_distributions
  • CodingTheory.X_density
  • CodingTheory.X_is_regular
  • CodingTheory.X_limited
  • CodingTheory.X_metacheck
  • CodingTheory.X_minimum_distance
  • CodingTheory.X_minimum_distance_lower_bound
  • CodingTheory.X_minimum_distance_upper_bound
  • CodingTheory.X_qubit_degrees
  • CodingTheory.X_row_bound
  • CodingTheory.X_signs
  • CodingTheory.X_stabilizer_weights
  • CodingTheory.X_stabilizers
  • CodingTheory.X_syndrome
  • CodingTheory.X_variable_degree_distribution
  • CodingTheory.Z_LDPC_code
  • CodingTheory.Z_check_degree_distribution
  • CodingTheory.Z_column_bound
  • CodingTheory.Z_column_row_bounds
  • CodingTheory.Z_degree_distributions
  • CodingTheory.Z_density
  • CodingTheory.Z_is_regular
  • CodingTheory.Z_limited
  • CodingTheory.Z_metacheck
  • CodingTheory.Z_minimum_distance
  • CodingTheory.Z_minimum_distance_lower_bound
  • CodingTheory.Z_minimum_distance_upper_bound
  • CodingTheory.Z_qubit_degrees
  • CodingTheory.Z_row_bound
  • CodingTheory.Z_signs
  • CodingTheory.Z_stabilizer_weights
  • CodingTheory.Z_stabilizers
  • CodingTheory.Z_syndrome
  • CodingTheory.Z_variable_degree_distribution
  • CodingTheory.ZeroCode
  • CodingTheory.ZeroCode
  • CodingTheory.ZeroCode
  • CodingTheory.algebraic_connectivity
  • CodingTheory.algebraic_dimension
  • CodingTheory.all_cyclotomic_cosets
  • CodingTheory.ambient_constituents
  • CodingTheory.ancestors
  • CodingTheory.apply_multiplier
  • CodingTheory.apply_multiplier
  • CodingTheory.are_conjugates
  • CodingTheory.are_equivalent
  • CodingTheory.are_equivalent
  • CodingTheory.are_equivalent_basis
  • CodingTheory.are_symplectic_orthogonal
  • CodingTheory.asymmetric_product
  • CodingTheory.augment
  • CodingTheory.augment
  • CodingTheory.average_ACE_distribution
  • CodingTheory.average_short_cycle_length
  • CodingTheory.average_simple_cycle_length
  • CodingTheory.balance_of_layered_schedule
  • CodingTheory.bare
  • CodingTheory.bare_X_minimum_distance_lower_bound
  • CodingTheory.bare_X_minimum_distance_upper_bound
  • CodingTheory.bare_Z_minimum_distance_lower_bound
  • CodingTheory.bare_Z_minimum_distance_upper_bound
  • CodingTheory.bare_logicals
  • CodingTheory.bare_minimum_distance_lower_bound
  • CodingTheory.bare_minimum_distance_upper_bound
  • CodingTheory.bare_normalizer_matrix
  • CodingTheory.base_matrix
  • CodingTheory.base_regions
  • CodingTheory.basic_clusters
  • CodingTheory.best_known_linear_code
  • CodingTheory.bethe_region_graph
  • CodingTheory.bipartite_expansion_profile
  • CodingTheory.boxplus_exact
  • CodingTheory.boxplus_minsum
  • CodingTheory.boxplus_minsum_correction
  • CodingTheory.canonical_region_graph
  • CodingTheory.cardinality
  • CodingTheory.cardinality
  • CodingTheory.change_field
  • CodingTheory.change_field!
  • CodingTheory.character_vector
  • CodingTheory.characteristic_polynomial
  • CodingTheory.check_concentrated_degree_distribution
  • CodingTheory.check_degree_distribution
  • CodingTheory.check_degree_polynomial
  • CodingTheory.check_weights
  • CodingTheory.check_weights
  • CodingTheory.circulants
  • CodingTheory.code_complement
  • CodingTheory.code_matrix_array
  • CodingTheory.codewords
  • CodingTheory.coefficient_vector
  • CodingTheory.column_bound
  • CodingTheory.column_row_bounds
  • CodingTheory.complement_qcosets
  • CodingTheory.complementary_basis
  • CodingTheory.complete_weight_distribution
  • CodingTheory.complete_weight_enumerator
  • CodingTheory.component_matrices
  • CodingTheory.componentwise_product_code
  • CodingTheory.computation_graph
  • CodingTheory.concatenate
  • CodingTheory.concatenate
  • CodingTheory.concatenation_type
  • CodingTheory.confinement_profile
  • CodingTheory.coning
  • CodingTheory.coning
  • CodingTheory.constituent_codes
  • CodingTheory.constituents
  • CodingTheory.construction_A
  • CodingTheory.construction_B
  • CodingTheory.construction_B2
  • CodingTheory.construction_X
  • CodingTheory.construction_X3
  • CodingTheory.construction_Y
  • CodingTheory.construction_Y1
  • CodingTheory.contains_self_dual_subcode
  • CodingTheory.copying
  • CodingTheory.copying_as_coning
  • CodingTheory.copying_as_coning
  • CodingTheory.coset_intersection
  • CodingTheory.cosystolic_expansion
  • CodingTheory.count_short_cycles
  • CodingTheory.count_simple_cycles
  • CodingTheory.crossover_probability
  • CodingTheory.csr_of
  • CodingTheory.csr_of
  • CodingTheory.cycle_tetrahedron_group
  • CodingTheory.cyclotomic_coset
  • CodingTheory.decode!
  • CodingTheory.defining_matrix
  • CodingTheory.defining_polynomials
  • CodingTheory.defining_set
  • CodingTheory.defining_set
  • CodingTheory.degree_distributions
  • CodingTheory.degree_distributions_plot
  • CodingTheory.density_evolution
  • CodingTheory.density_evolution_MET_GA
  • CodingTheory.density_evolution_MET_GA
  • CodingTheory.density_evolution_MET_GA
  • CodingTheory.density_lower_bound
  • CodingTheory.design_dimension
  • CodingTheory.design_distance
  • CodingTheory.design_rate
  • CodingTheory.design_strength
  • CodingTheory.deterministic_QLTC_soundness
  • CodingTheory.digits_to_int
  • CodingTheory.direct_product
  • CodingTheory.direct_sum
  • CodingTheory.dist
  • CodingTheory.distance
  • CodingTheory.distance_automorphisms
  • CodingTheory.doubly_even_subcode
  • CodingTheory.dressed
  • CodingTheory.dressed_X_minimum_distance_lower_bound
  • CodingTheory.dressed_X_minimum_distance_upper_bound
  • CodingTheory.dressed_Z_minimum_distance_lower_bound
  • CodingTheory.dressed_Z_minimum_distance_upper_bound
  • CodingTheory.dressed_logicals
  • CodingTheory.dressed_minimum_distance_lower_bound
  • CodingTheory.dressed_minimum_distance_upper_bound
  • CodingTheory.dressed_operators
  • CodingTheory.dual_basis
  • CodingTheory.dual_defining_set
  • CodingTheory.dual_qcosets
  • CodingTheory.dual_scalars
  • CodingTheory.edge_counts
  • CodingTheory.edge_expansion_bounds
  • CodingTheory.edge_vertex_incidence_graph
  • CodingTheory.edge_vertex_incidence_matrix
  • CodingTheory.elements
  • CodingTheory.entrywise_product_code
  • CodingTheory.entrywise_product_code
  • CodingTheory.entrywise_product_code
  • CodingTheory.enumerate_short_cycles
  • CodingTheory.enumerate_simple_cycles
  • CodingTheory.erasure_probability
  • CodingTheory.estimated_bipartite_vertex_expansion
  • CodingTheory.estimated_edge_expansion
  • CodingTheory.estimated_vertex_expansion
  • CodingTheory.evaluate_confinement
  • CodingTheory.evaluate_single_shot_soundness
  • CodingTheory.evaluation_points
  • CodingTheory.even_extension
  • CodingTheory.even_subcode
  • CodingTheory.expand_matrix
  • CodingTheory.expanded_code
  • CodingTheory.expansion_basis
  • CodingTheory.expansion_dual_basis
  • CodingTheory.expansion_factor
  • CodingTheory.expansion_witness
  • CodingTheory.exponent_matrix
  • CodingTheory.expurgate
  • CodingTheory.expurgate
  • CodingTheory.extended_binomial
  • CodingTheory.extract_bipartition
  • CodingTheory.extract_hard_decisions
  • CodingTheory.extremal_weight_enumerator
  • CodingTheory.fiedler_vector
  • CodingTheory.fix_all_gauges
  • CodingTheory.fix_gauge
  • CodingTheory.gauge_centralizer_matrix
  • CodingTheory.gauge_code
  • CodingTheory.gauge_generators_matrix
  • CodingTheory.gauge_group
  • CodingTheory.gauge_group_generators_matrix
  • CodingTheory.gauge_group_matrix
  • CodingTheory.gauge_group_weights
  • CodingTheory.gauge_operators
  • CodingTheory.gauge_operators_matrix
  • CodingTheory.gauge_weights
  • CodingTheory.gauges
  • CodingTheory.gauges_matrix
  • CodingTheory.gauging
  • CodingTheory.gauging
  • CodingTheory.gauging_as_coning
  • CodingTheory.gauging_as_coning
  • CodingTheory.gbp_decode!
  • CodingTheory.gbp_marginal_llrs
  • CodingTheory.generate_automorphisms
  • CodingTheory.generator_polynomial
  • CodingTheory.generator_weights
  • CodingTheory.gleason_generators
  • CodingTheory.grand_decode!
  • CodingTheory.graph_eigenvalues
  • CodingTheory.group_algebra_element_to_circulant_matrix
  • CodingTheory.has_algebraic_4_cycle
  • CodingTheory.has_algebraic_cycle
  • CodingTheory.heuristic_info_set_selection
  • CodingTheory.heuristic_minimum_distance
  • CodingTheory.heuristic_minimum_distance_aco
  • CodingTheory.heuristic_minimum_distance_ga
  • CodingTheory.heuristic_minimum_distance_gga_order
  • CodingTheory.heuristic_minimum_distance_irons
  • CodingTheory.heuristic_minimum_distance_nncs
  • CodingTheory.heuristic_weight_distribution_hirotomo
  • CodingTheory.homological_measurement
  • CodingTheory.homological_product
  • CodingTheory.hook_vector
  • CodingTheory.hull
  • CodingTheory.id
  • CodingTheory.idempotent
  • CodingTheory.information_set
  • CodingTheory.information_sets
  • CodingTheory.init_gbp_workspace
  • CodingTheory.init_grand_workspace
  • CodingTheory.init_osd_workspace
  • CodingTheory.init_osd_workspace
  • CodingTheory.init_region_beliefs!
  • CodingTheory.init_soft_workspace
  • CodingTheory.init_soft_workspace
  • CodingTheory.init_soft_workspace
  • CodingTheory.init_wbf_workspace
  • CodingTheory.init_wbf_workspace
  • CodingTheory.inner_code
  • CodingTheory.inverse_MattsonSolomon_transform
  • CodingTheory.is_CSS
  • CodingTheory.is_CSS_T_code
  • CodingTheory.is_Euclidean_dual_containing
  • CodingTheory.is_Euclidean_self_orthogonal
  • CodingTheory.is_Hermitian_LCD
  • CodingTheory.is_Hermitian_dual_containing
  • CodingTheory.is_Hermitian_self_dual
  • CodingTheory.is_Hermitian_self_orthogonal
  • CodingTheory.is_Hermitian_weakly_self_dual
  • CodingTheory.is_LCD
  • CodingTheory.is_LDPC
  • CodingTheory.is_LDPC
  • CodingTheory.is_MDS
  • CodingTheory.is_MDS
  • CodingTheory.is_X_LDPC
  • CodingTheory.is_Z_LDPC
  • CodingTheory.is_antiprimitive
  • CodingTheory.is_bare_logical
  • CodingTheory.is_bare_normalizer
  • CodingTheory.is_basis
  • CodingTheory.is_bipartite_expander
  • CodingTheory.is_cumulative
  • CodingTheory.is_design_holder
  • CodingTheory.is_doubly_even
  • CodingTheory.is_dual_containing
  • CodingTheory.is_even
  • CodingTheory.is_expander
  • CodingTheory.is_extension
  • CodingTheory.is_extremal
  • CodingTheory.is_fixed_point_free
  • CodingTheory.is_gauge
  • CodingTheory.is_k_colorable
  • CodingTheory.is_l_Galois_LCD
  • CodingTheory.is_l_Galois_dual_containing
  • CodingTheory.is_l_Galois_self_dual
  • CodingTheory.is_l_Galois_self_orthogonal
  • CodingTheory.is_l_Galois_weakly_self_dual
  • CodingTheory.is_left_right_expander
  • CodingTheory.is_logical
  • CodingTheory.is_multiplier_equivalent
  • CodingTheory.is_narrowsense
  • CodingTheory.is_normal_basis
  • CodingTheory.is_normalizer
  • CodingTheory.is_orientable
  • CodingTheory.is_overcomplete
  • CodingTheory.is_overcomplete
  • CodingTheory.is_primitive_basis
  • CodingTheory.is_quantum_LDPC
  • CodingTheory.is_quantum_MDS
  • CodingTheory.is_reversible
  • CodingTheory.is_self_dual
  • CodingTheory.is_self_dual
  • CodingTheory.is_self_dual_basis
  • CodingTheory.is_self_orthogonal
  • CodingTheory.is_single_generator
  • CodingTheory.is_stabilizer
  • CodingTheory.is_subcode
  • CodingTheory.is_subcode
  • CodingTheory.is_topologically_connected
  • CodingTheory.is_triorthogonal
  • CodingTheory.is_triorthogonal
  • CodingTheory.is_triply_even
  • CodingTheory.is_valid_bipartition
  • CodingTheory.is_valid_region_graph
  • CodingTheory.is_valid_self_dual_enumerator
  • CodingTheory.is_weakly_self_dual
  • CodingTheory.juxtaposition
  • CodingTheory.l_Galois_dual
  • CodingTheory.l_Galois_hull
  • CodingTheory.layered_schedule
  • CodingTheory.layered_schedule
  • CodingTheory.layered_schedule
  • CodingTheory.leaves
  • CodingTheory.lengthen
  • CodingTheory.limited
  • CodingTheory.llr
  • CodingTheory.llr
  • CodingTheory.llr
  • CodingTheory.load_alist
  • CodingTheory.load_quantum_code
  • CodingTheory.load_soft_channel!
  • CodingTheory.local_fourier
  • CodingTheory.local_girth
  • CodingTheory.local_girth
  • CodingTheory.local_girth
  • CodingTheory.logbinomial
  • CodingTheory.logical_operators
  • CodingTheory.logicals
  • CodingTheory.logicals_matrix
  • CodingTheory.logicals_standard_form
  • CodingTheory.maximum_dimension
  • CodingTheory.maximum_qubit_degree
  • CodingTheory.maximum_stabilizer_weight
  • CodingTheory.median_ACE_distribution
  • CodingTheory.median_short_cycle_length
  • CodingTheory.median_simple_cycle_length
  • CodingTheory.message_passing_order
  • CodingTheory.metacheck
  • CodingTheory.minimal_polynomial
  • CodingTheory.minimum_distance
  • CodingTheory.minimum_distance
  • CodingTheory.minimum_distance_lower_bound
  • CodingTheory.minimum_distance_lower_bound
  • CodingTheory.minimum_distance_upper_bound
  • CodingTheory.minimum_distance_upper_bound
  • CodingTheory.minimum_distance_zssmp
  • CodingTheory.minimum_gauge_weight
  • CodingTheory.minimum_qubit_degree
  • CodingTheory.minimum_stabilizer_weight
  • CodingTheory.minimum_weight_blocks
  • CodingTheory.mode_ACE_distribution
  • CodingTheory.mode_short_cycle_length
  • CodingTheory.mode_simple_cycle_length
  • CodingTheory.mult_order
  • CodingTheory.multilevel_concatenation
  • CodingTheory.multiplicative_gap
  • CodingTheory.multiplicative_gap_lower_bound
  • CodingTheory.multiplier_group
  • CodingTheory.multiplier_subgroup_Sn
  • CodingTheory.multiplier_subgroup_Zn
  • CodingTheory.node_adjacencies
  • CodingTheory.noncirculant_generator_matrix
  • CodingTheory.noncirculant_parity_check_matrix
  • CodingTheory.nontrivial_adjacency_spectral_radius
  • CodingTheory.nonzeros
  • CodingTheory.nonzeros
  • CodingTheory.normal_basis
  • CodingTheory.normalized_laplacian_matrix
  • CodingTheory.normalized_spectral_gap
  • CodingTheory.normalizer_matrix
  • CodingTheory.num_X_stabs
  • CodingTheory.num_Z_stabs
  • CodingTheory.num_edges
  • CodingTheory.num_edges
  • CodingTheory.num_qubits
  • CodingTheory.number_correctable_errors
  • CodingTheory.number_of_twists
  • CodingTheory.offset
  • CodingTheory.optimal_lambda
  • CodingTheory.optimal_lambda_and_rho
  • CodingTheory.optimal_rho
  • CodingTheory.optimal_sectionalization
  • CodingTheory.optimal_threshold
  • CodingTheory.optimal_threshold
  • CodingTheory.optimal_threshold
  • CodingTheory.optimal_threshold
  • CodingTheory.optimal_threshold
  • CodingTheory.optimize_trellis_permutation
  • CodingTheory.ord
  • CodingTheory.osd_decode!
  • CodingTheory.outer_code
  • CodingTheory.outer_regions
  • CodingTheory.overcounting_number
  • CodingTheory.parents
  • CodingTheory.parity_check_matrix
  • CodingTheory.parity_check_matrix
  • CodingTheory.parity_check_matrix
  • CodingTheory.parity_check_polynomial
  • CodingTheory.past_future_profiles
  • CodingTheory.pauli_strings
  • CodingTheory.permute_code
  • CodingTheory.permute_code!
  • CodingTheory.polynomial_matrix
  • CodingTheory.polynomial_matrix_type
  • CodingTheory.prepare_mult_order
  • CodingTheory.primitive_basis
  • CodingTheory.primitive_root
  • CodingTheory.print_all_cyclic_codes
  • CodingTheory.print_all_cyclotomic_cosets
  • CodingTheory.print_string_array
  • CodingTheory.probabilistic_minimum_distance
  • CodingTheory.probabilistic_minimum_distance_bjmm
  • CodingTheory.probabilistic_minimum_distance_lee_brickell
  • CodingTheory.probabilistic_minimum_distance_lee_brickell
  • CodingTheory.probabilistic_minimum_distance_leon
  • CodingTheory.probabilistic_minimum_distance_mmt
  • CodingTheory.probabilistic_minimum_distance_prange
  • CodingTheory.probabilistic_minimum_distance_stern
  • CodingTheory.probabilistic_minimum_distance_stern_DOOM
  • CodingTheory.product_code
  • CodingTheory.progressive_edge_growth
  • CodingTheory.progressive_edge_growth_QC
  • CodingTheory.progressive_edge_growth_protograph
  • CodingTheory.promote_gauges_to_logical
  • CodingTheory.promote_gauges_to_logical!
  • CodingTheory.promote_logicals_to_gauge
  • CodingTheory.promote_logicals_to_gauge!
  • CodingTheory.protograph_matrix
  • CodingTheory.protograph_threshold
  • CodingTheory.puncture
  • CodingTheory.puncture
  • CodingTheory.q_r_s_group
  • CodingTheory.qcoset_pairings
  • CodingTheory.qcoset_table
  • CodingTheory.qcosets
  • CodingTheory.qcosets_reps
  • CodingTheory.quadratic_residues
  • CodingTheory.quantum_CSS_dimension_LP_bound
  • CodingTheory.quantum_CSS_subsystem_weight_two_distance_bound
  • CodingTheory.quantum_CSS_weight_enumerator_LP
  • CodingTheory.quantum_Gilbert_Varshamov_bound
  • CodingTheory.quantum_Gilbert_Varshamov_exists
  • CodingTheory.quantum_Hamming_bound
  • CodingTheory.quantum_Hamming_volume
  • CodingTheory.quantum_Krawtchouk_matrix
  • CodingTheory.quantum_LDPC_parameters
  • CodingTheory.quantum_Singleton_bound
  • CodingTheory.quantum_check_weight_LP_postprocess
  • CodingTheory.quantum_check_weight_dimension_bound
  • CodingTheory.quantum_code_data
  • CodingTheory.quantum_code_from_data
  • CodingTheory.quantum_direct_sum
  • CodingTheory.quantum_generator_array
  • CodingTheory.quantum_low_weight_stabilizer_distance_bound
  • CodingTheory.quantum_stabilizer_check_weight_existence_bound
  • CodingTheory.quantum_stabilizer_dimension_LP_bound
  • CodingTheory.quantum_stabilizer_generator_weight_LP_bound
  • CodingTheory.quantum_stabilizer_generator_weight_lower_bound
  • CodingTheory.quantum_stabilizer_group_average_weight
  • CodingTheory.quantum_stabilizer_group_total_weight
  • CodingTheory.quantum_weight_enumerator_LP
  • CodingTheory.quantum_weight_reduction
  • CodingTheory.qubit_degree_distribution
  • CodingTheory.qubit_degrees
  • CodingTheory.quotient
  • CodingTheory.r_s_group
  • CodingTheory.random_CSS_code
  • CodingTheory.random_homological_product_code
  • CodingTheory.random_information_set
  • CodingTheory.random_linear_code
  • CodingTheory.random_linear_code
  • CodingTheory.random_stabilizer_code
  • CodingTheory.random_subsystem_code
  • CodingTheory.rate
  • CodingTheory.rate
  • CodingTheory.read_pauli_strings
  • CodingTheory.region_graph_from_base_nodes
  • CodingTheory.regions
  • CodingTheory.regular_LDPC_code
  • CodingTheory.relative_distance
  • CodingTheory.relative_distance
  • CodingTheory.remove_cycles
  • CodingTheory.remove_generational_skips
  • CodingTheory.remove_zero_overcounting_numbers
  • CodingTheory.required_ISD_iterations
  • CodingTheory.residue_code
  • CodingTheory.residue_polynomial_to_circulant_matrix
  • CodingTheory.row_bound
  • CodingTheory.row_supports
  • CodingTheory.row_supports_symplectic
  • CodingTheory.satisfies_quantum_CSS_subsystem_weight_two_bounds
  • CodingTheory.satisfies_quantum_Hamming_bound
  • CodingTheory.save_code
  • CodingTheory.save_quantum_code
  • CodingTheory.scalars
  • CodingTheory.serial_schedule
  • CodingTheory.set_X_metacheck!
  • CodingTheory.set_X_minimum_distance!
  • CodingTheory.set_X_minimum_distance_lower_bound!
  • CodingTheory.set_X_minimum_distance_upper_bound!
  • CodingTheory.set_X_stabilizers
  • CodingTheory.set_X_stabilizers!
  • CodingTheory.set_Z_metacheck!
  • CodingTheory.set_Z_minimum_distance!
  • CodingTheory.set_Z_minimum_distance_lower_bound!
  • CodingTheory.set_Z_minimum_distance_upper_bound!
  • CodingTheory.set_Z_stabilizers
  • CodingTheory.set_Z_stabilizers!
  • CodingTheory.set_bare_X_minimum_distance!
  • CodingTheory.set_bare_Z_minimum_distance!
  • CodingTheory.set_bare_minimum_distance!
  • CodingTheory.set_distance_automorphisms!
  • CodingTheory.set_distance_lower_bound!
  • CodingTheory.set_distance_upper_bound!
  • CodingTheory.set_dressed_X_minimum_distance!
  • CodingTheory.set_dressed_Z_minimum_distance!
  • CodingTheory.set_dressed_minimum_distance!
  • CodingTheory.set_logicals!
  • CodingTheory.set_metacheck!
  • CodingTheory.set_minimum_distance!
  • CodingTheory.set_minimum_distance!
  • CodingTheory.set_minimum_distance_lower_bound!
  • CodingTheory.set_minimum_distance_upper_bound!
  • CodingTheory.set_signs!
  • CodingTheory.set_stabilizers
  • CodingTheory.set_stabilizers!
  • CodingTheory.shadow_transform
  • CodingTheory.shift_matrix
  • CodingTheory.shor_laflamme_weight_enumerator
  • CodingTheory.short_cycle_distribution_by_variable_node
  • CodingTheory.short_cycle_distribution_by_variable_node_plot
  • CodingTheory.short_cycle_length_distribution
  • CodingTheory.short_cycle_length_distribution_plot
  • CodingTheory.shorten
  • CodingTheory.shorten
  • CodingTheory.signs
  • CodingTheory.simple_cycle_distribution_by_variable_node
  • CodingTheory.simple_cycle_distribution_by_variable_node_plot
  • CodingTheory.simple_cycle_length_distribution
  • CodingTheory.simple_cycle_length_distribution_plot
  • CodingTheory.simplex_group
  • CodingTheory.sipser_spielman_guarantees
  • CodingTheory.spectral_gap
  • CodingTheory.splitting_field
  • CodingTheory.stabilizer_centralizer_matrix
  • CodingTheory.stabilizer_weight_distribution
  • CodingTheory.stabilizer_weights
  • CodingTheory.stabilizers
  • CodingTheory.standard_deviation
  • CodingTheory.standard_form_A
  • CodingTheory.standard_form_A1
  • CodingTheory.standard_form_A2
  • CodingTheory.standard_form_B
  • CodingTheory.standard_form_C1
  • CodingTheory.standard_form_C2
  • CodingTheory.standard_form_D
  • CodingTheory.standard_form_E
  • CodingTheory.standard_form_permutation
  • CodingTheory.standard_form_permutation
  • CodingTheory.star_tetrahedron_group
  • CodingTheory.strongly_lower_triangular_reduction
  • CodingTheory.subcode
  • CodingTheory.subcode
  • CodingTheory.subcode_of_dimension_between_codes
  • CodingTheory.subfield_subcode
  • CodingTheory.subregions
  • CodingTheory.swap_X_Z
  • CodingTheory.swap_X_Z_gauge_operators!
  • CodingTheory.swap_X_Z_logicals!
  • CodingTheory.symmetric_product
  • CodingTheory.symplectic_inner_product
  • CodingTheory.symplectic_weight
  • CodingTheory.syndrome
  • CodingTheory.syndrome
  • CodingTheory.syndrome_decode
  • CodingTheory.syndrome_polynomial
  • CodingTheory.syndromes
  • CodingTheory.tetrahedron_group
  • CodingTheory.thickening_and_choose_heights
  • CodingTheory.thickening_and_choose_heights
  • CodingTheory.trace_code
  • CodingTheory.trace_representation
  • CodingTheory.transmit
  • CodingTheory.transmit
  • CodingTheory.transmit
  • CodingTheory.triangle_group
  • CodingTheory.triangulate_base_regions
  • CodingTheory.triply_even_subcode
  • CodingTheory.twist_vector
  • CodingTheory.twist_vectors
  • CodingTheory.type
  • CodingTheory.u_plus_w_v_plus_w_u_plus_v_plus_w
  • CodingTheory.u_u_plus_v
  • CodingTheory.variable_degree_distribution
  • CodingTheory.variable_degree_polynomial
  • CodingTheory.variance
  • CodingTheory.verify_QLTC_soundness
  • CodingTheory.verify_complementary_basis
  • CodingTheory.verify_confinement
  • CodingTheory.verify_dual_basis
  • CodingTheory.vertex_counts
  • CodingTheory.wbf_decode!
  • CodingTheory.weight
  • CodingTheory.weight_distribution
  • CodingTheory.weight_distribution_array
  • CodingTheory.weight_distribution_trellis
  • CodingTheory.weight_enumerator
  • CodingTheory.weight_enumerator
  • CodingTheory.weight_enumerator
  • CodingTheory.weight_matrix
  • CodingTheory.weight_plot
  • CodingTheory.weight_reduction
  • CodingTheory.weight_reduction
  • CodingTheory.words
  • CodingTheory.words_of_minimum_weight
  • CodingTheory.words_of_weight
  • CodingTheory.words_of_weight
  • CodingTheory.write_code_csv
  • CodingTheory.write_pauli_strings
  • CodingTheory.write_quantum_csv
  • CodingTheory.wt
  • DataStructures.capacity
  • DataStructures.capacity
  • DataStructures.capacity
  • DataStructures.capacity
  • Hecke.:⊕
  • Hecke.:⊕
  • Hecke.:⊕
  • Hecke.density
  • Hecke.density
  • Hecke.dimension
  • Hecke.dimension
  • Hecke.dimension
  • Hecke.dual
  • Hecke.dual
  • Hecke.dual
  • Hecke.dual
  • Hecke.extend
  • Hecke.extension_field
  • Hecke.genus
  • Hecke.genus
  • Hecke.index
  • Hecke.index
  • Hecke.is_cyclic
  • Hecke.is_cyclic
  • Hecke.is_degenerate
  • Hecke.is_degenerate
  • Hecke.is_primitive
  • Hecke.is_primitive
  • Hecke.is_pure
  • Hecke.is_regular
  • Hecke.is_regular
  • LinearAlgebra.tr
  • Oscar.complement
  • Oscar.encode
  • Oscar.encode
  • Oscar.field
  • Oscar.field
  • Oscar.generator_matrix
  • Oscar.generator_matrix
  • Oscar.generator_matrix
  • Oscar.girth
  • Oscar.normal_subgroups
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