Index

A

AbstractLinearCode (class in sage.coding.linear_code) ambient_space() (sage.coding.linear_code.AbstractLinearCode 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.AbstractLinearCode method) basis() (sage.coding.linear_code.AbstractLinearCode method) BCHCode() (in module sage.coding.code_constructions) best_known_linear_code() (in module sage.coding.linear_code) best_known_linear_code_www() (in module sage.coding.linear_code) BinaryCode (class in sage.coding.binary_code)

BinaryCodeClassifier (class in sage.coding.binary_code) BinaryGolayCode() (in module sage.coding.code_constructions) BinaryReedMullerCode() (in module sage.coding.guava) binomial_moment() (sage.coding.linear_code.AbstractLinearCode method) bounds_minimum_distance() (in module sage.coding.linear_code)

C

canonical_representative() (sage.coding.linear_code.AbstractLinearCode method) cardinality() (sage.coding.linear_code.AbstractLinearCode method) Channel (class in sage.coding.channel_constructions) characteristic() (sage.coding.linear_code.AbstractLinearCode method) characteristic_polynomial() (sage.coding.linear_code.AbstractLinearCode method) check_mat() (sage.coding.linear_code.AbstractLinearCode method) chinen_polynomial() (sage.coding.linear_code.AbstractLinearCode method) cmp() (sage.coding.binary_code.PartitionStack method) code2leon() (in module sage.coding.linear_code)

codesize_upper_bound() (in module sage.coding.code_bounds) column_blocks() (sage.coding.codecan.codecan.InnerGroup method) coset_leader() (in module sage.coding.decoder) covering_radius() (sage.coding.linear_code.AbstractLinearCode method) CyclicCode() (in module sage.coding.code_constructions) CyclicCodeFromCheckPolynomial() (in module sage.coding.code_constructions) CyclicCodeFromGeneratingPolynomial() (in module sage.coding.code_constructions) cyclotomic_cosets() (in module sage.coding.code_constructions)

D

decode() (in module sage.coding.decoder) (sage.coding.linear_code.AbstractLinearCode method) (sage.coding.source_coding.huffman.Huffman method) delsarte_bound_additive_hamming_space() (in module sage.coding.delsarte_bounds) delsarte_bound_hamming_space() (in module sage.coding.delsarte_bounds) dimension() (sage.coding.linear_code.AbstractLinearCode method) dimension_upper_bound() (in module sage.coding.code_bounds)

direct_sum() (sage.coding.linear_code.AbstractLinearCode 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.linear_code.AbstractLinearCode method)

E

elias_bound_asymp() (in module sage.coding.code_bounds) elias_upper_bound() (in module sage.coding.code_bounds) encode() (sage.coding.source_coding.huffman.Huffman method) encoding_table() (sage.coding.source_coding.huffman.Huffman method) entropy() (in module sage.coding.code_bounds) entropy_inverse() (in module sage.coding.code_bounds)

ErrorErasureChannel (class in sage.coding.channel_constructions) extended_code() (sage.coding.linear_code.AbstractLinearCode method) ExtendedBinaryGolayCode() (in module sage.coding.code_constructions) ExtendedQuadraticResidueCode() (in module sage.coding.code_constructions) ExtendedTernaryGolayCode() (in module sage.coding.code_constructions)

F

format_interval() (in module sage.coding.channel_constructions)

frequency_table() (in module sage.coding.source_coding.huffman)

G

galois_closure() (sage.coding.linear_code.AbstractLinearCode method) gen_mat() (sage.coding.linear_code.LinearCode method) gen_mat_systematic() (sage.coding.linear_code.AbstractLinearCode method) generate_children() (sage.coding.binary_code.BinaryCodeClassifier method) generator_matrix() (sage.coding.linear_code.AbstractLinearCode method) (sage.coding.linear_code.LinearCode method) generator_matrix_systematic() (sage.coding.linear_code.AbstractLinearCode method) gens() (sage.coding.linear_code.AbstractLinearCode 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) griesmer_upper_bound() (in module sage.coding.code_bounds) 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() (in module sage.coding.code_constructions) Huffman (class in sage.coding.source_coding.huffman)

I

I2() (in module sage.coding.sd_codes) information_set() (sage.coding.linear_code.AbstractLinearCode method) InnerGroup (class in sage.coding.codecan.codecan) input_space() (sage.coding.channel_constructions.Channel method) is_a_splitting() (in module sage.coding.code_constructions) is_galois_closed() (sage.coding.linear_code.AbstractLinearCode method)

is_permutation_automorphism() (sage.coding.linear_code.AbstractLinearCode method) is_permutation_equivalent() (sage.coding.linear_code.AbstractLinearCode method) is_self_dual() (sage.coding.linear_code.AbstractLinearCode method) is_self_orthogonal() (sage.coding.linear_code.AbstractLinearCode method) is_subcode() (sage.coding.linear_code.AbstractLinearCode method)

K

Krawtchouk() (in module sage.coding.delsarte_bounds)

L

length() (sage.coding.linear_code.AbstractLinearCode method) lift2smallest_field() (in module sage.coding.code_constructions) lift2smallest_field2() (in module sage.coding.code_constructions) LinearCode (class in sage.coding.linear_code)

LinearCodeAutGroupCanLabel (class in sage.coding.codecan.autgroup_can_label) LinearCodeFromCheckMatrix() (in module sage.coding.code_constructions) LinearCodeFromVectorSpace() (in module sage.coding.linear_code) list() (sage.coding.linear_code.AbstractLinearCode method)

M

matA() (in module sage.coding.sd_codes) matId() (in module sage.coding.sd_codes) matrix() (sage.coding.binary_code.BinaryCode method) min_wt_vec_gap() (in module sage.coding.linear_code) minimum_distance() (sage.coding.linear_code.AbstractLinearCode method)

module_composition_factors() (sage.coding.linear_code.AbstractLinearCode method) mrrw1_bound_asymp() (in module sage.coding.code_bounds) MS() (in module sage.coding.sd_codes) MS2() (in module sage.coding.sd_codes)

N

number_erasures() (sage.coding.channel_constructions.ErrorErasureChannel method)

number_errors() (sage.coding.channel_constructions.ErrorErasureChannel method) (sage.coding.channel_constructions.StaticErrorRateChannel method)

O

OP_represent() (in module sage.coding.codecan.codecan) OrbitPartition (class in sage.coding.binary_code)

output_space() (sage.coding.channel_constructions.Channel method)

P

parity_check_matrix() (sage.coding.linear_code.AbstractLinearCode method) 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.AbstractLinearCode method) plotkin_bound_asymp() (in module sage.coding.code_bounds)

plotkin_upper_bound() (in module sage.coding.code_bounds) print_basis() (sage.coding.binary_code.PartitionStack method) print_data() (sage.coding.binary_code.BinaryCode method) (sage.coding.binary_code.PartitionStack method) PS_represent() (in module sage.coding.codecan.codecan) punctured() (sage.coding.linear_code.AbstractLinearCode method) put_in_canonical_form() (sage.coding.binary_code.BinaryCodeClassifier method) put_in_std_form() (sage.coding.binary_code.BinaryCode method)

Q

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.linear_code.AbstractLinearCode method) random_error_vector() (in module sage.coding.channel_constructions) RandomLinearCode() (in module sage.coding.code_constructions)

RandomLinearCodeGuava() (in module sage.coding.guava) redundancy_matrix() (sage.coding.linear_code.AbstractLinearCode method) ReedSolomonCode() (in module sage.coding.code_constructions)

S

sage.coding.binary_code (module) sage.coding.channel_constructions (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.decoder (module) sage.coding.delsarte_bounds (module) sage.coding.guava (module) sage.coding.linear_code (module) sage.coding.sd_codes (module) sage.coding.source_coding.huffman (module)

SC_test_list_perms() (in module sage.coding.codecan.codecan) sd_duursma_data() (sage.coding.linear_code.AbstractLinearCode method) sd_duursma_q() (sage.coding.linear_code.AbstractLinearCode method) sd_zeta_polynomial() (sage.coding.linear_code.AbstractLinearCode method) self_dual_codes_binary() (in module sage.coding.sd_codes) self_orthogonal_binary_codes() (in module sage.coding.linear_code) 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) spectrum() (sage.coding.linear_code.AbstractLinearCode method) standard_form() (sage.coding.linear_code.AbstractLinearCode method) StaticErrorRateChannel (class in sage.coding.channel_constructions) support() (sage.coding.linear_code.AbstractLinearCode method) syndrome() (in module sage.coding.decoder) (sage.coding.linear_code.AbstractLinearCode method)

T

TernaryGolayCode() (in module sage.coding.code_constructions) test_expand_to_ortho_basis() (in module sage.coding.binary_code) test_word_perms() (in module sage.coding.binary_code) ToricCode() (in module sage.coding.code_constructions)

transmit() (sage.coding.channel_constructions.Channel method) transmit_unsafe() (sage.coding.channel_constructions.Channel method) (sage.coding.channel_constructions.ErrorErasureChannel method) (sage.coding.channel_constructions.StaticErrorRateChannel method) tree() (sage.coding.source_coding.huffman.Huffman method) TrivialCode() (in module sage.coding.code_constructions)

V

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.linear_code.AbstractLinearCode method) weight_enumerator() (sage.coding.linear_code.AbstractLinearCode method) wtdist_gap() (in module sage.coding.linear_code)

Z

zero() (sage.coding.linear_code.AbstractLinearCode method) zeta_function() (sage.coding.linear_code.AbstractLinearCode method)

zeta_polynomial() (sage.coding.linear_code.AbstractLinearCode method)