Index A | B | C | D | E | F | G | H | I | J | K | L | M | N | O | P | Q | R | S | T | U | V | W | Z A AbstractCode (class in sage.coding.abstract_code) AbstractLinearCode (class in sage.coding.linear_code) AbstractLinearCodeNoMetric (class in sage.coding.linear_code_no_metric) AbstractLinearRankMetricCode (class in sage.coding.linear_rank_metric) add_decoder() (sage.coding.abstract_code.AbstractCode method) add_encoder() (sage.coding.abstract_code.AbstractCode method) AGCode (class in sage.coding.ag_code) alekhnovich_root_finder() (in module sage.coding.guruswami_sudan.gs_decoder) algorithm() (sage.coding.information_set_decoder.LinearCodeInformationSetDecoder method) ambient_space() (sage.coding.abstract_code.AbstractCode method) (sage.coding.linear_code_no_metric.AbstractLinearCodeNoMetric method) apply_permutation() (sage.coding.binary_code.BinaryCode method) assmus_mattson_designs() (sage.coding.linear_code.AbstractLinearCode method) automorphism_group_gens() (sage.coding.linear_code.AbstractLinearCode method) B base_field() (sage.coding.linear_code_no_metric.AbstractLinearCodeNoMetric method) base_function_field() (sage.coding.ag_code.AGCode method) basis() (sage.coding.linear_code_no_metric.AbstractLinearCodeNoMetric method) basis_differentials() (sage.coding.ag_code.DifferentialAGCode method) basis_functions() (sage.coding.ag_code.EvaluationAGCode method) bch_bound() (in module sage.coding.cyclic_code) (sage.coding.cyclic_code.CyclicCode method) bch_code() (sage.coding.cyclic_code.CyclicCodeSurroundingBCHDecoder method) bch_decoder() (sage.coding.cyclic_code.CyclicCodeSurroundingBCHDecoder method) bch_to_grs() (sage.coding.bch_code.BCHCode method) bch_word_to_grs() (sage.coding.bch_code.BCHUnderlyingGRSDecoder method) BCHCode (class in sage.coding.bch_code) BCHUnderlyingGRSDecoder (class in sage.coding.bch_code) best_linear_code_in_codetables_dot_de() (in module sage.coding.databases) best_linear_code_in_guava() (in module sage.coding.databases) BinaryCode (class in sage.coding.binary_code) BinaryCodeClassifier (class in sage.coding.binary_code) BinaryReedMullerCode (class in sage.coding.reed_muller_code) binomial_moment() (sage.coding.linear_code.AbstractLinearCode method) bounds_on_minimum_distance_in_guava() (in module sage.coding.databases) C calibrate() (sage.coding.information_set_decoder.InformationSetAlgorithm method) (sage.coding.information_set_decoder.LeeBrickellISDAlgorithm method) canonical_representative() (sage.coding.linear_code.AbstractLinearCode method) cardinality() (sage.coding.linear_code_no_metric.AbstractLinearCodeNoMetric method) CartierCode (class in sage.coding.ag_code) Channel (class in sage.coding.channel) characteristic() (sage.coding.linear_code.AbstractLinearCode method) characteristic_polynomial() (sage.coding.linear_code.AbstractLinearCode method) check_polynomial() (sage.coding.cyclic_code.CyclicCode method) chinen_polynomial() (sage.coding.linear_code.AbstractLinearCode method) cmp() (sage.coding.binary_code.PartitionStack method) code() (sage.coding.decoder.Decoder method) (sage.coding.encoder.Encoder method) (sage.coding.information_set_decoder.InformationSetAlgorithm method) codesize_upper_bound() (in module sage.coding.code_bounds) column_blocks() (sage.coding.codecan.codecan.InnerGroup method) column_multipliers() (sage.coding.grs_code.GeneralizedReedSolomonCode method) connected_encoder() (sage.coding.ag_code_decoders.DifferentialAGCodeUniqueDecoder method) (sage.coding.ag_code_decoders.EvaluationAGCodeUniqueDecoder method) (sage.coding.decoder.Decoder method) construction_x() (sage.coding.linear_code.AbstractLinearCode method) cosetGraph() (sage.coding.linear_code.AbstractLinearCode method) covering_radius() (sage.coding.golay_code.GolayCode method) (sage.coding.grs_code.GeneralizedReedSolomonCode method) (sage.coding.linear_code.AbstractLinearCode method) CyclicCode (class in sage.coding.cyclic_code) CyclicCodePolynomialEncoder (class in sage.coding.cyclic_code) CyclicCodeSurroundingBCHDecoder (class in sage.coding.cyclic_code) CyclicCodeVectorEncoder (class in sage.coding.cyclic_code) D decode() (sage.coding.ag_code_decoders.Decoder_K method) (sage.coding.ag_code_decoders.Decoder_K_extension method) (sage.coding.information_set_decoder.InformationSetAlgorithm method) (sage.coding.information_set_decoder.LeeBrickellISDAlgorithm method) (sage.coding.source_coding.huffman.Huffman method) decode_to_code() (sage.coding.abstract_code.AbstractCode method) (sage.coding.ag_code_decoders.DifferentialAGCodeUniqueDecoder method) (sage.coding.ag_code_decoders.EvaluationAGCodeUniqueDecoder method) (sage.coding.bch_code.BCHUnderlyingGRSDecoder method) (sage.coding.cyclic_code.CyclicCodeSurroundingBCHDecoder method) (sage.coding.decoder.Decoder method) (sage.coding.extended_code.ExtendedCodeOriginalCodeDecoder method) (sage.coding.gabidulin_code.GabidulinGaoDecoder method) (sage.coding.grs_code.GRSBerlekampWelchDecoder method) (sage.coding.grs_code.GRSGaoDecoder method) (sage.coding.grs_code.GRSKeyEquationSyndromeDecoder method) (sage.coding.guruswami_sudan.gs_decoder.GRSGuruswamiSudanDecoder method) (sage.coding.information_set_decoder.LinearCodeInformationSetDecoder method) (sage.coding.linear_code.LinearCodeNearestNeighborDecoder method) (sage.coding.linear_code.LinearCodeSyndromeDecoder method) (sage.coding.linear_rank_metric.LinearRankMetricCodeNearestNeighborDecoder method) (sage.coding.punctured_code.PuncturedCodeOriginalCodeDecoder method) (sage.coding.subfield_subcode.SubfieldSubcodeOriginalCodeDecoder method) decode_to_message() (sage.coding.abstract_code.AbstractCode method) (sage.coding.ag_code_decoders.DifferentialAGCodeUniqueDecoder method) (sage.coding.ag_code_decoders.EvaluationAGCodeUniqueDecoder method) (sage.coding.decoder.Decoder method) (sage.coding.gabidulin_code.GabidulinGaoDecoder method) (sage.coding.grs_code.GRSBerlekampWelchDecoder method) (sage.coding.grs_code.GRSErrorErasureDecoder method) (sage.coding.grs_code.GRSGaoDecoder method) (sage.coding.grs_code.GRSKeyEquationSyndromeDecoder method) (sage.coding.guruswami_sudan.gs_decoder.GRSGuruswamiSudanDecoder method) Decoder (class in sage.coding.decoder) decoder() (sage.coding.abstract_code.AbstractCode method) Decoder_K (class in sage.coding.ag_code_decoders) Decoder_K_extension (class in sage.coding.ag_code_decoders) decoder_type() (sage.coding.decoder.Decoder class method) decoders_available() (sage.coding.abstract_code.AbstractCode method) decoding_interval() (sage.coding.information_set_decoder.InformationSetAlgorithm method) (sage.coding.information_set_decoder.LinearCodeInformationSetDecoder method) decoding_radius() (sage.coding.ag_code_decoders.DifferentialAGCodeUniqueDecoder method) (sage.coding.ag_code_decoders.EvaluationAGCodeUniqueDecoder method) (sage.coding.bch_code.BCHUnderlyingGRSDecoder method) (sage.coding.cyclic_code.CyclicCodeSurroundingBCHDecoder method) (sage.coding.decoder.Decoder method) (sage.coding.extended_code.ExtendedCodeOriginalCodeDecoder method) (sage.coding.gabidulin_code.GabidulinGaoDecoder method) (sage.coding.grs_code.GRSBerlekampWelchDecoder method) (sage.coding.grs_code.GRSErrorErasureDecoder method) (sage.coding.grs_code.GRSGaoDecoder method) (sage.coding.grs_code.GRSKeyEquationSyndromeDecoder method) (sage.coding.guruswami_sudan.gs_decoder.GRSGuruswamiSudanDecoder method) (sage.coding.information_set_decoder.LinearCodeInformationSetDecoder method) (sage.coding.linear_code.LinearCodeNearestNeighborDecoder method) (sage.coding.linear_code.LinearCodeSyndromeDecoder method) (sage.coding.linear_rank_metric.LinearRankMetricCodeNearestNeighborDecoder method) (sage.coding.punctured_code.PuncturedCodeOriginalCodeDecoder method) (sage.coding.subfield_subcode.SubfieldSubcodeOriginalCodeDecoder method) DecodingError defining_set() (sage.coding.cyclic_code.CyclicCode method) delsarte_bound_additive_hamming_space() (in module sage.coding.delsarte_bounds) delsarte_bound_constant_weight_code() (in module sage.coding.delsarte_bounds) delsarte_bound_hamming_space() (in module sage.coding.delsarte_bounds) delsarte_bound_Q_matrix() (in module sage.coding.delsarte_bounds) designed_distance() (sage.coding.ag_code.CartierCode method) (sage.coding.ag_code.DifferentialAGCode method) (sage.coding.ag_code.EvaluationAGCode method) (sage.coding.bch_code.BCHCode method) DifferentialAGCode (class in sage.coding.ag_code) DifferentialAGCodeDecoder_K (class in sage.coding.ag_code_decoders) DifferentialAGCodeDecoder_K_extension (class in sage.coding.ag_code_decoders) DifferentialAGCodeEncoder (class in sage.coding.ag_code_decoders) DifferentialAGCodeUniqueDecoder (class in sage.coding.ag_code_decoders) dimension() (sage.coding.linear_code_no_metric.AbstractLinearCodeNoMetric method) (sage.coding.punctured_code.PuncturedCode method) (sage.coding.subfield_subcode.SubfieldSubcode method) dimension_lower_bound() (sage.coding.subfield_subcode.SubfieldSubcode method) dimension_upper_bound() (in module sage.coding.code_bounds) (sage.coding.subfield_subcode.SubfieldSubcode method) direct_sum() (sage.coding.linear_code.AbstractLinearCode method) distance_bound() (sage.coding.goppa_code.GoppaCode method) divisor() (sage.coding.linear_code.AbstractLinearCode method) DuadicCodeEvenPair() (in module sage.coding.code_constructions) DuadicCodeOddPair() (in module sage.coding.code_constructions) dual_code() (sage.coding.gabidulin_code.GabidulinCode method) (sage.coding.golay_code.GolayCode method) (sage.coding.grs_code.GeneralizedReedSolomonCode method) (sage.coding.linear_code_no_metric.AbstractLinearCodeNoMetric method) E eberlein() (in module sage.coding.delsarte_bounds) elias_bound_asymp() (in module sage.coding.code_bounds) elias_upper_bound() (in module sage.coding.code_bounds) embedding() (sage.coding.subfield_subcode.SubfieldSubcode method) encode() (sage.coding.abstract_code.AbstractCode method) (sage.coding.ag_code_decoders.Decoder_K method) (sage.coding.ag_code_decoders.Decoder_K_extension method) (sage.coding.ag_code_decoders.DifferentialAGCodeEncoder method) (sage.coding.ag_code_decoders.EvaluationAGCodeEncoder method) (sage.coding.cyclic_code.CyclicCodePolynomialEncoder method) (sage.coding.cyclic_code.CyclicCodeVectorEncoder method) (sage.coding.encoder.Encoder method) (sage.coding.gabidulin_code.GabidulinPolynomialEvaluationEncoder method) (sage.coding.grs_code.GRSEvaluationPolynomialEncoder method) (sage.coding.parity_check_code.ParityCheckCodeStraightforwardEncoder method) (sage.coding.punctured_code.PuncturedCode method) (sage.coding.reed_muller_code.ReedMullerPolynomialEncoder method) (sage.coding.source_coding.huffman.Huffman method) Encoder (class in sage.coding.encoder) encoder() (sage.coding.abstract_code.AbstractCode method) encoders_available() (sage.coding.abstract_code.AbstractCode method) encoding_table() (sage.coding.source_coding.huffman.Huffman method) EncodingError entropy() (in module sage.coding.code_bounds) entropy_inverse() (in module sage.coding.code_bounds) error_probability() (sage.coding.channel.QarySymmetricChannel method) ErrorErasureChannel (class in sage.coding.channel) evaluation_points() (sage.coding.gabidulin_code.GabidulinCode method) (sage.coding.grs_code.GeneralizedReedSolomonCode method) EvaluationAGCode (class in sage.coding.ag_code) EvaluationAGCodeDecoder_K (class in sage.coding.ag_code_decoders) EvaluationAGCodeDecoder_K_extension (class in sage.coding.ag_code_decoders) EvaluationAGCodeEncoder (class in sage.coding.ag_code_decoders) EvaluationAGCodeUniqueDecoder (class in sage.coding.ag_code_decoders) extended_code() (sage.coding.linear_code.AbstractLinearCode method) ExtendedCode (class in sage.coding.extended_code) ExtendedCodeExtendedMatrixEncoder (class in sage.coding.extended_code) ExtendedCodeOriginalCodeDecoder (class in sage.coding.extended_code) ExtendedQuadraticResidueCode() (in module sage.coding.code_constructions) extension_degree() (sage.coding.linear_rank_metric.AbstractLinearRankMetricCode method) F field_embedding() (sage.coding.cyclic_code.CyclicCode method) field_extension() (sage.coding.linear_rank_metric.AbstractLinearRankMetricCode method) find_generator_polynomial() (in module sage.coding.cyclic_code) format_interval() (in module sage.coding.channel) frequency_table() (in module sage.coding.source_coding.huffman) from_matrix_representation() (in module sage.coding.linear_rank_metric) from_parity_check_matrix() (in module sage.coding.code_constructions) G GabidulinCode (class in sage.coding.gabidulin_code) GabidulinGaoDecoder (class in sage.coding.gabidulin_code) GabidulinPolynomialEvaluationEncoder (class in sage.coding.gabidulin_code) GabidulinVectorEvaluationEncoder (class in sage.coding.gabidulin_code) galois_closure() (sage.coding.linear_code.AbstractLinearCode method) GeneralizedReedSolomonCode (class in sage.coding.grs_code) generate_children() (sage.coding.binary_code.BinaryCodeClassifier method) generator_matrix() (sage.coding.ag_code.CartierCode method) (sage.coding.ag_code.DifferentialAGCode method) (sage.coding.ag_code.EvaluationAGCode method) (sage.coding.cyclic_code.CyclicCodeVectorEncoder method) (sage.coding.encoder.Encoder method) (sage.coding.extended_code.ExtendedCodeExtendedMatrixEncoder method) (sage.coding.gabidulin_code.GabidulinVectorEvaluationEncoder method) (sage.coding.golay_code.GolayCode method) (sage.coding.goppa_code.GoppaCodeEncoder method) (sage.coding.grs_code.GRSEvaluationVectorEncoder method) (sage.coding.kasami_codes.KasamiCode method) (sage.coding.linear_code.LinearCode method) (sage.coding.linear_code.LinearCodeGeneratorMatrixEncoder method) (sage.coding.linear_code_no_metric.AbstractLinearCodeNoMetric method) (sage.coding.linear_code_no_metric.LinearCodeSystematicEncoder method) (sage.coding.linear_rank_metric.LinearRankMetricCode method) (sage.coding.parity_check_code.ParityCheckCodeGeneratorMatrixEncoder method) (sage.coding.punctured_code.PuncturedCodePuncturedMatrixEncoder method) (sage.coding.reed_muller_code.ReedMullerVectorEncoder method) generator_polynomial() (sage.coding.cyclic_code.CyclicCode method) gens() (sage.coding.linear_code_no_metric.AbstractLinearCodeNoMetric method) genus() (sage.coding.linear_code.AbstractLinearCode method) get_autom_gens() (sage.coding.codecan.autgroup_can_label.LinearCodeAutGroupCanLabel method) (sage.coding.codecan.codecan.PartitionRefinementLinearCode method) get_autom_order() (sage.coding.codecan.autgroup_can_label.LinearCodeAutGroupCanLabel method) get_autom_order_inner_stabilizer() (sage.coding.codecan.codecan.PartitionRefinementLinearCode method) get_canonical_form() (sage.coding.codecan.autgroup_can_label.LinearCodeAutGroupCanLabel method) (sage.coding.codecan.codecan.PartitionRefinementLinearCode method) get_frob_pow() (sage.coding.codecan.codecan.InnerGroup method) get_PGammaL_gens() (sage.coding.codecan.autgroup_can_label.LinearCodeAutGroupCanLabel method) get_PGammaL_order() (sage.coding.codecan.autgroup_can_label.LinearCodeAutGroupCanLabel method) get_transporter() (sage.coding.codecan.autgroup_can_label.LinearCodeAutGroupCanLabel method) (sage.coding.codecan.codecan.PartitionRefinementLinearCode method) gilbert_lower_bound() (in module sage.coding.code_bounds) gilt() (in module sage.coding.guruswami_sudan.utils) GolayCode (class in sage.coding.golay_code) GoppaCode (class in sage.coding.goppa_code) GoppaCodeEncoder (class in sage.coding.goppa_code) griesmer_upper_bound() (in module sage.coding.code_bounds) grs_code() (sage.coding.bch_code.BCHUnderlyingGRSDecoder method) grs_decoder() (sage.coding.bch_code.BCHUnderlyingGRSDecoder method) grs_word_to_bch() (sage.coding.bch_code.BCHUnderlyingGRSDecoder method) GRSBerlekampWelchDecoder (class in sage.coding.grs_code) GRSErrorErasureDecoder (class in sage.coding.grs_code) GRSEvaluationPolynomialEncoder (class in sage.coding.grs_code) GRSEvaluationVectorEncoder (class in sage.coding.grs_code) GRSGaoDecoder (class in sage.coding.grs_code) GRSGuruswamiSudanDecoder (class in sage.coding.guruswami_sudan.gs_decoder) GRSKeyEquationSyndromeDecoder (class in sage.coding.grs_code) gs_interpolation_lee_osullivan() (in module sage.coding.guruswami_sudan.interpolation) gs_interpolation_linalg() (in module sage.coding.guruswami_sudan.interpolation) gs_satisfactory() (sage.coding.guruswami_sudan.gs_decoder.GRSGuruswamiSudanDecoder static method) guruswami_sudan_decoding_radius() (sage.coding.guruswami_sudan.gs_decoder.GRSGuruswamiSudanDecoder static method) gv_bound_asymp() (in module sage.coding.code_bounds) gv_info_rate() (in module sage.coding.code_bounds) H hamming_bound_asymp() (in module sage.coding.code_bounds) hamming_upper_bound() (in module sage.coding.code_bounds) HammingCode (class in sage.coding.hamming_code) Huffman (class in sage.coding.source_coding.huffman) I info (sage.coding.ag_code_decoders.Decoder_K attribute) (sage.coding.ag_code_decoders.Decoder_K_extension attribute) information_set() (sage.coding.linear_code_no_metric.AbstractLinearCodeNoMetric method) InformationSetAlgorithm (class in sage.coding.information_set_decoder) InnerGroup (class in sage.coding.codecan.codecan) input_space() (sage.coding.channel.Channel method) (sage.coding.decoder.Decoder method) interpolation_algorithm() (sage.coding.guruswami_sudan.gs_decoder.GRSGuruswamiSudanDecoder method) is_galois_closed() (sage.coding.linear_code.AbstractLinearCode method) is_generalized() (sage.coding.grs_code.GeneralizedReedSolomonCode method) is_information_set() (sage.coding.linear_code_no_metric.AbstractLinearCodeNoMetric method) is_permutation_automorphism() (sage.coding.linear_code_no_metric.AbstractLinearCodeNoMetric method) is_permutation_equivalent() (sage.coding.linear_code.AbstractLinearCode method) is_projective() (sage.coding.linear_code.AbstractLinearCode method) is_self_dual() (sage.coding.linear_code_no_metric.AbstractLinearCodeNoMetric method) is_self_orthogonal() (sage.coding.linear_code_no_metric.AbstractLinearCodeNoMetric method) is_subcode() (sage.coding.linear_code_no_metric.AbstractLinearCodeNoMetric method) J johnson_radius() (in module sage.coding.guruswami_sudan.utils) jump_size() (sage.coding.bch_code.BCHCode method) juxtapose() (sage.coding.linear_code.AbstractLinearCode method) K KasamiCode (class in sage.coding.kasami_codes) known_algorithms() (sage.coding.information_set_decoder.LinearCodeInformationSetDecoder static method) krawtchouk() (in module sage.coding.delsarte_bounds) L lee_osullivan_module() (in module sage.coding.guruswami_sudan.interpolation) LeeBrickellISDAlgorithm (class in sage.coding.information_set_decoder) length() (sage.coding.abstract_code.AbstractCode method) ligt() (in module sage.coding.guruswami_sudan.utils) LinearCode (class in sage.coding.linear_code) LinearCodeAutGroupCanLabel (class in sage.coding.codecan.autgroup_can_label) LinearCodeGeneratorMatrixEncoder (class in sage.coding.linear_code) LinearCodeInformationSetDecoder (class in sage.coding.information_set_decoder) LinearCodeNearestNeighborDecoder (class in sage.coding.linear_code) LinearCodeSyndromeDecoder (class in sage.coding.linear_code) LinearCodeSystematicEncoder (class in sage.coding.linear_code_no_metric) LinearRankMetricCode (class in sage.coding.linear_rank_metric) LinearRankMetricCodeNearestNeighborDecoder (class in sage.coding.linear_rank_metric) list() (sage.coding.abstract_code.AbstractCode method) list_size() (sage.coding.guruswami_sudan.gs_decoder.GRSGuruswamiSudanDecoder method) M matrix() (sage.coding.binary_code.BinaryCode method) matrix_form_of_vector() (sage.coding.linear_rank_metric.AbstractLinearRankMetricCode method) maximum_error_weight() (sage.coding.linear_code.LinearCodeSyndromeDecoder method) message_space() (sage.coding.cyclic_code.CyclicCodePolynomialEncoder method) (sage.coding.cyclic_code.CyclicCodeVectorEncoder method) (sage.coding.decoder.Decoder method) (sage.coding.encoder.Encoder method) (sage.coding.gabidulin_code.GabidulinPolynomialEvaluationEncoder method) (sage.coding.grs_code.GRSEvaluationPolynomialEncoder method) (sage.coding.parity_check_code.ParityCheckCodeStraightforwardEncoder method) (sage.coding.reed_muller_code.ReedMullerPolynomialEncoder method) metric() (sage.coding.abstract_code.AbstractCode method) minimum_distance() (sage.coding.gabidulin_code.GabidulinCode method) (sage.coding.golay_code.GolayCode method) (sage.coding.grs_code.GeneralizedReedSolomonCode method) (sage.coding.hamming_code.HammingCode method) (sage.coding.linear_code.AbstractLinearCode method) (sage.coding.linear_rank_metric.AbstractLinearRankMetricCode method) (sage.coding.parity_check_code.ParityCheckCode method) (sage.coding.reed_muller_code.BinaryReedMullerCode method) (sage.coding.reed_muller_code.QAryReedMullerCode method) module sage.coding.abstract_code sage.coding.ag_code sage.coding.ag_code_decoders sage.coding.bch_code sage.coding.binary_code sage.coding.bounds_catalog sage.coding.channel sage.coding.channels_catalog sage.coding.code_bounds sage.coding.code_constructions sage.coding.codecan.autgroup_can_label sage.coding.codecan.codecan sage.coding.codes_catalog sage.coding.cyclic_code sage.coding.databases sage.coding.decoder sage.coding.decoders_catalog sage.coding.delsarte_bounds sage.coding.encoder sage.coding.encoders_catalog sage.coding.extended_code sage.coding.gabidulin_code sage.coding.golay_code sage.coding.goppa_code sage.coding.grs_code sage.coding.guava sage.coding.guruswami_sudan.gs_decoder sage.coding.guruswami_sudan.interpolation sage.coding.guruswami_sudan.utils sage.coding.hamming_code sage.coding.information_set_decoder sage.coding.kasami_codes sage.coding.linear_code sage.coding.linear_code_no_metric sage.coding.linear_rank_metric sage.coding.parity_check_code sage.coding.punctured_code sage.coding.reed_muller_code sage.coding.self_dual_codes sage.coding.source_coding.huffman sage.coding.subfield_subcode sage.coding.two_weight_db module_composition_factors() (sage.coding.linear_code.AbstractLinearCode method) mrrw1_bound_asymp() (in module sage.coding.code_bounds) multiplicity() (sage.coding.guruswami_sudan.gs_decoder.GRSGuruswamiSudanDecoder method) multipliers_product() (sage.coding.grs_code.GeneralizedReedSolomonCode method) N n_k_params() (in module sage.coding.guruswami_sudan.gs_decoder) name() (sage.coding.information_set_decoder.InformationSetAlgorithm method) number_erasures() (sage.coding.channel.ErrorErasureChannel method) number_errors() (sage.coding.channel.ErrorErasureChannel method) (sage.coding.channel.StaticErrorRateChannel method) number_of_variables() (sage.coding.reed_muller_code.BinaryReedMullerCode method) (sage.coding.reed_muller_code.QAryReedMullerCode method) O offset() (sage.coding.bch_code.BCHCode method) OrbitPartition (class in sage.coding.binary_code) order() (sage.coding.reed_muller_code.BinaryReedMullerCode method) (sage.coding.reed_muller_code.QAryReedMullerCode method) original_code() (sage.coding.extended_code.ExtendedCode method) (sage.coding.punctured_code.PuncturedCode method) (sage.coding.subfield_subcode.SubfieldSubcode method) original_decoder() (sage.coding.extended_code.ExtendedCodeOriginalCodeDecoder method) (sage.coding.punctured_code.PuncturedCodeOriginalCodeDecoder method) (sage.coding.subfield_subcode.SubfieldSubcodeOriginalCodeDecoder method) output_space() (sage.coding.channel.Channel method) P parameters() (sage.coding.guruswami_sudan.gs_decoder.GRSGuruswamiSudanDecoder method) (sage.coding.information_set_decoder.InformationSetAlgorithm method) (sage.coding.kasami_codes.KasamiCode method) parameters_given_tau() (sage.coding.guruswami_sudan.gs_decoder.GRSGuruswamiSudanDecoder static method) parity_check_matrix() (sage.coding.cyclic_code.CyclicCode method) (sage.coding.extended_code.ExtendedCode method) (sage.coding.gabidulin_code.GabidulinCode method) (sage.coding.golay_code.GolayCode method) (sage.coding.goppa_code.GoppaCode method) (sage.coding.grs_code.GeneralizedReedSolomonCode method) (sage.coding.hamming_code.HammingCode method) (sage.coding.linear_code_no_metric.AbstractLinearCodeNoMetric method) (sage.coding.subfield_subcode.SubfieldSubcode method) parity_column_multipliers() (sage.coding.grs_code.GeneralizedReedSolomonCode method) parity_evaluation_points() (sage.coding.gabidulin_code.GabidulinCode method) ParityCheckCode (class in sage.coding.parity_check_code) ParityCheckCodeGeneratorMatrixEncoder (class in sage.coding.parity_check_code) ParityCheckCodeStraightforwardEncoder (class in sage.coding.parity_check_code) PartitionRefinementLinearCode (class in sage.coding.codecan.codecan) PartitionStack (class in sage.coding.binary_code) permutation_action() (in module sage.coding.code_constructions) permutation_automorphism_group() (sage.coding.linear_code.AbstractLinearCode method) permuted_code() (sage.coding.linear_code_no_metric.AbstractLinearCodeNoMetric method) plotkin_bound_asymp() (in module sage.coding.code_bounds) plotkin_upper_bound() (in module sage.coding.code_bounds) points() (sage.coding.reed_muller_code.ReedMullerPolynomialEncoder method) (sage.coding.reed_muller_code.ReedMullerVectorEncoder method) polynomial_ring() (sage.coding.grs_code.GRSEvaluationPolynomialEncoder method) (sage.coding.reed_muller_code.ReedMullerPolynomialEncoder method) polynomial_to_list() (in module sage.coding.guruswami_sudan.utils) primitive_root() (sage.coding.cyclic_code.CyclicCode method) print_basis() (sage.coding.binary_code.PartitionStack method) print_data() (sage.coding.binary_code.BinaryCode method) (sage.coding.binary_code.PartitionStack method) probability_of_at_most_t_errors() (sage.coding.channel.QarySymmetricChannel method) probability_of_exactly_t_errors() (sage.coding.channel.QarySymmetricChannel method) product_code() (sage.coding.linear_code.AbstractLinearCode method) punctured() (sage.coding.linear_code.AbstractLinearCode method) punctured_positions() (sage.coding.punctured_code.PuncturedCode method) PuncturedCode (class in sage.coding.punctured_code) PuncturedCodeOriginalCodeDecoder (class in sage.coding.punctured_code) PuncturedCodePuncturedMatrixEncoder (class in sage.coding.punctured_code) put_in_canonical_form() (sage.coding.binary_code.BinaryCodeClassifier method) put_in_std_form() (sage.coding.binary_code.BinaryCode method) Q QAryReedMullerCode (class in sage.coding.reed_muller_code) QarySymmetricChannel (class in sage.coding.channel) QuadraticResidueCode() (in module sage.coding.code_constructions) QuadraticResidueCodeEvenPair() (in module sage.coding.code_constructions) QuadraticResidueCodeOddPair() (in module sage.coding.code_constructions) QuasiQuadraticResidueCode() (in module sage.coding.guava) R random_element() (sage.coding.abstract_code.AbstractCode method) (sage.coding.extended_code.ExtendedCode method) (sage.coding.punctured_code.PuncturedCode method) random_error_vector() (in module sage.coding.channel) random_linear_code() (in module sage.coding.code_constructions) RandomLinearCodeGuava() (in module sage.coding.guava) rank_distance() (in module sage.coding.linear_rank_metric) rank_distance_between_vectors() (sage.coding.linear_rank_metric.AbstractLinearRankMetricCode method) rank_support_of_vector() (sage.coding.linear_rank_metric.AbstractLinearRankMetricCode method) rank_weight() (in module sage.coding.linear_rank_metric) rank_weight_of_vector() (sage.coding.linear_rank_metric.AbstractLinearRankMetricCode method) rate() (sage.coding.linear_code_no_metric.AbstractLinearCodeNoMetric method) redundancy_matrix() (sage.coding.linear_code_no_metric.AbstractLinearCodeNoMetric method) ReedMullerCode() (in module sage.coding.reed_muller_code) ReedMullerPolynomialEncoder (class in sage.coding.reed_muller_code) ReedMullerVectorEncoder (class in sage.coding.reed_muller_code) ReedSolomonCode() (in module sage.coding.grs_code) relative_distance() (sage.coding.linear_code.AbstractLinearCode method) rootfinding_algorithm() (sage.coding.guruswami_sudan.gs_decoder.GRSGuruswamiSudanDecoder method) roth_ruckenstein_root_finder() (in module sage.coding.guruswami_sudan.gs_decoder) S sage.coding.abstract_code module sage.coding.ag_code module sage.coding.ag_code_decoders module sage.coding.bch_code module sage.coding.binary_code module sage.coding.bounds_catalog module sage.coding.channel module sage.coding.channels_catalog module sage.coding.code_bounds module sage.coding.code_constructions module sage.coding.codecan.autgroup_can_label module sage.coding.codecan.codecan module sage.coding.codes_catalog module sage.coding.cyclic_code module sage.coding.databases module sage.coding.decoder module sage.coding.decoders_catalog module sage.coding.delsarte_bounds module sage.coding.encoder module sage.coding.encoders_catalog module sage.coding.extended_code module sage.coding.gabidulin_code module sage.coding.golay_code module sage.coding.goppa_code module sage.coding.grs_code module sage.coding.guava module sage.coding.guruswami_sudan.gs_decoder module sage.coding.guruswami_sudan.interpolation module sage.coding.guruswami_sudan.utils module sage.coding.hamming_code module sage.coding.information_set_decoder module sage.coding.kasami_codes module sage.coding.linear_code module sage.coding.linear_code_no_metric module sage.coding.linear_rank_metric module sage.coding.parity_check_code module sage.coding.punctured_code module sage.coding.reed_muller_code module sage.coding.self_dual_codes module sage.coding.source_coding.huffman module sage.coding.subfield_subcode module sage.coding.two_weight_db module self_dual_binary_codes() (in module sage.coding.self_dual_codes) self_orthogonal_binary_codes() (in module sage.coding.databases) shortened() (sage.coding.linear_code.AbstractLinearCode method) singleton_bound_asymp() (in module sage.coding.code_bounds) singleton_upper_bound() (in module sage.coding.code_bounds) solve_degree2_to_integer_range() (in module sage.coding.guruswami_sudan.utils) spectrum() (sage.coding.linear_code.AbstractLinearCode method) standard_form() (sage.coding.linear_code_no_metric.AbstractLinearCodeNoMetric method) StaticErrorRateChannel (class in sage.coding.channel) structured_representation() (sage.coding.punctured_code.PuncturedCode method) sub_field() (sage.coding.linear_rank_metric.AbstractLinearRankMetricCode method) SubfieldSubcode (class in sage.coding.subfield_subcode) SubfieldSubcodeOriginalCodeDecoder (class in sage.coding.subfield_subcode) support() (sage.coding.linear_code.AbstractLinearCode method) surrounding_bch_code() (sage.coding.cyclic_code.CyclicCode method) syndrome() (sage.coding.linear_code_no_metric.AbstractLinearCodeNoMetric method) syndrome_table() (sage.coding.linear_code.LinearCodeSyndromeDecoder method) systematic_generator_matrix() (sage.coding.linear_code_no_metric.AbstractLinearCodeNoMetric method) systematic_permutation() (sage.coding.linear_code_no_metric.LinearCodeSystematicEncoder method) systematic_positions() (sage.coding.linear_code_no_metric.LinearCodeSystematicEncoder method) T test_expand_to_ortho_basis() (in module sage.coding.binary_code) test_word_perms() (in module sage.coding.binary_code) time_estimate() (sage.coding.information_set_decoder.InformationSetAlgorithm method) to_matrix_representation() (in module sage.coding.linear_rank_metric) ToricCode() (in module sage.coding.code_constructions) transmit() (sage.coding.channel.Channel method) transmit_unsafe() (sage.coding.channel.Channel method) (sage.coding.channel.ErrorErasureChannel method) (sage.coding.channel.QarySymmetricChannel method) (sage.coding.channel.StaticErrorRateChannel method) tree() (sage.coding.source_coding.huffman.Huffman method) twisting_homomorphism() (sage.coding.gabidulin_code.GabidulinCode method) U u_u_plus_v_code() (sage.coding.linear_code.AbstractLinearCode method) unencode() (sage.coding.abstract_code.AbstractCode method) (sage.coding.encoder.Encoder method) unencode_nocheck() (sage.coding.ag_code_decoders.DifferentialAGCodeEncoder method) (sage.coding.ag_code_decoders.EvaluationAGCodeEncoder method) (sage.coding.cyclic_code.CyclicCodePolynomialEncoder method) (sage.coding.cyclic_code.CyclicCodeVectorEncoder method) (sage.coding.encoder.Encoder method) (sage.coding.gabidulin_code.GabidulinPolynomialEvaluationEncoder method) (sage.coding.grs_code.GRSEvaluationPolynomialEncoder method) (sage.coding.parity_check_code.ParityCheckCodeStraightforwardEncoder method) (sage.coding.reed_muller_code.ReedMullerPolynomialEncoder method) V vector_form_of_matrix() (sage.coding.linear_rank_metric.AbstractLinearRankMetricCode method) volume_hamming() (in module sage.coding.code_bounds) W walsh_matrix() (in module sage.coding.code_constructions) WalshCode() (in module sage.coding.code_constructions) weight_dist() (in module sage.coding.binary_code) weight_distribution() (sage.coding.golay_code.GolayCode method) (sage.coding.grs_code.GeneralizedReedSolomonCode method) (sage.coding.linear_code.AbstractLinearCode method) weight_enumerator() (sage.coding.linear_code.AbstractLinearCode method) Z zero() (sage.coding.linear_code_no_metric.AbstractLinearCodeNoMetric method) zeta_function() (sage.coding.linear_code.AbstractLinearCode method) zeta_polynomial() (sage.coding.linear_code.AbstractLinearCode method)