Index

_

__init__() (sboxUv2.databases.database.FunctionsDB method)

A

absolute() (sboxUv2.core.spectrum.cython_functions.Spectrum method) absolute_walsh_spectrum() (in module sboxUv2.statistics.cython_functions) add_equation() (sboxUv2.algorithms.cython_functions.F2LinearSystem method) add_to_span() (sboxUv2.algorithms.cython_functions.BinLinearBasis method) affine_equivalence() (in module sboxUv2.ccz.affine_equivalence.cython_functions) affine_equivalence_permutations() (in module sboxUv2.ccz.affine_equivalence.cython_functions) affine_equivalences() (in module sboxUv2.ccz.cython_functions) algebraic_degree() (in module sboxUv2.core.anf.cython_functions) algebraic_normal_form() (in module sboxUv2.core.anf.cython_functions) algebraic_normal_form_coordinate() (in module sboxUv2.core.anf.cython_functions) all() (in module sboxUv2.scripts.apnDB.eightBitAPN) all_BeiLea() (in module sboxUv2.scripts.apnDB.eightBitAPN) (in module sboxUv2.scripts.apnDB.reprs8) all_non_quadratics() (in module sboxUv2.scripts.apnDB.eightBitAPN) all_quadratic_polynomials() (in module sboxUv2.scripts.apnDB.eightBitAPN) (in module sboxUv2.scripts.apnDB.reprs8) all_quadratics() (in module sboxUv2.scripts.apnDB.eightBitAPN) (in module sboxUv2.scripts.apnDB.firstQAM)

all_WenTanGon() (in module sboxUv2.scripts.apnDB.eightBitAPN) (in module sboxUv2.scripts.apnDB.reprs8) anf_component() (in module sboxUv2.core.anf.cython_functions) apn_ea_mugshot() (in module sboxUv2.apn.cython_functions) apn_ea_mugshot_from_spectra() (in module sboxUv2.apn.cython_functions) APNFunctions (class in sboxUv2.apn.database) APNQuadraticFunctions_ccz_only (class in sboxUv2.scripts.apnDB.generate) are_affine_equivalent() (in module sboxUv2.ccz.cython_functions) are_ccz_equivalent() (in module sboxUv2.ccz.cython_functions) are_ccz_equivalent_from_code() (in module sboxUv2.ccz.equivalences_from_code) are_cczl_equivalent() (in module sboxUv2.ccz.cython_functions) are_code_equivalent() (in module sboxUv2.ccz.equivalences_from_code) are_ea_equivalent() (in module sboxUv2.ccz.cython_functions) are_ea_equivalent_from_code() (in module sboxUv2.ccz.equivalences_from_code) are_ea_equivalent_from_vq() (in module sboxUv2.scripts.apnDB.generate) are_el_equivalent() (in module sboxUv2.ccz.cython_functions) are_linear_equivalent() (in module sboxUv2.ccz.cython_functions) automorphisms_from_ortho_derivative() (in module sboxUv2.apn.cython_functions)

B

basis_vectors() (sboxUv2.algorithms.cython_functions.BinLinearBasis method) bct() (in module sboxUv2.statistics.cython_functions) bct_coeff_probability() (in module sboxUv2.statistics.anomalies) bct_interactive_view() (in module sboxUv2.display.pollock) BinLinearBasis (class in sboxUv2.algorithms.cython_functions) BinLinearMap (class in sboxUv2.core.f2functions.cython_functions)

BinLinearMap_from_masks() (in module sboxUv2.algorithms.cython_functions) BinLinearMap_from_range_and_image() (in module sboxUv2.algorithms.cython_functions) Blm() (in module sboxUv2.core.f2functions.cython_functions) block_diagonal_BinLinearMap() (in module sboxUv2.core.f2functions.cython_functions) boomerang_spectrum() (in module sboxUv2.statistics.cython_functions) boomerang_uniformity() (in module sboxUv2.statistics.cython_functions)

C

ccz_block_decomposition() (in module sboxUv2.ccz.cython_functions) ccz_equivalences() (in module sboxUv2.ccz.cython_functions) ccz_equivalent_function() (in module sboxUv2.ccz.cython_functions) ccz_equivalent_quadratic_function() (in module sboxUv2.apn.cython_functions) ccz_matrix() (in module sboxUv2.ccz.equivalences_from_code) cczl_equivalences() (in module sboxUv2.ccz.cython_functions) Chronograph (class in sboxUv2.display.output) circ_shift() (in module sboxUv2.core.f2functions.cython_functions) circ_shift_BinLinearMap() (in module sboxUv2.core.f2functions.cython_functions)

cite() (in module sboxUv2.biblio.references) cite_as() (in module sboxUv2.biblio.references) closed_butterfly() (in module sboxUv2.core.building_blocks.butterflies) complete_basis() (in module sboxUv2.algorithms.cython_functions) complete_basis_reversed() (in module sboxUv2.algorithms.cython_functions) component() (sboxUv2.core.sbox.cython_functions.S_box method) coordinate() (sboxUv2.core.sbox.cython_functions.S_box method) (sboxUv2.core.sbox.cython_functions.S_box_fp method) core() (sboxUv2.ccz.tu_decompositions.TUdecomposition method) create() (sboxUv2.databases.database.FunctionsDB method)

D

ddt() (in module sboxUv2.statistics.cython_functions) ddt_coeff_probability() (in module sboxUv2.statistics.anomalies) ddt_interactive_view() (in module sboxUv2.display.pollock) degree_spectrum() (in module sboxUv2.core.anf.cython_functions)

derivative() (sboxUv2.core.sbox.cython_functions.S_box method) (sboxUv2.core.sbox.cython_functions.S_box_fp method) differential_spectrum() (in module sboxUv2.statistics.cython_functions) differential_uniformity() (in module sboxUv2.statistics.cython_functions)

E

ea_equivalences() (in module sboxUv2.ccz.cython_functions) EA_mapping() (in module sboxUv2.ccz.cython_functions) ea_mappings_from_ortho_derivative() (in module sboxUv2.apn.cython_functions) ea_matrix() (in module sboxUv2.ccz.equivalences_from_code) el_equivalences() (in module sboxUv2.ccz.cython_functions) enumerate_ea_classes() (in module sboxUv2.ccz.cython_functions) enumerate_ea_classes_apn_quadratic() (in module sboxUv2.apn.cython_functions) equivalences_from_lat() (in module sboxUv2.ccz.cython_functions) eval_anf() (in module sboxUv2.core.anf.cython_functions)

eval_vect_anf() (in module sboxUv2.core.anf.cython_functions) expected_boomerang_uniformity_distribution_permutation() (in module sboxUv2.statistics.anomalies) expected_differential_uniformity_distribution_permutation() (in module sboxUv2.statistics.anomalies) expected_linearity_distribution_function() (in module sboxUv2.statistics.anomalies) expected_linearity_distribution_permutation() (in module sboxUv2.statistics.anomalies) expected_maximum_distribution() (in module sboxUv2.statistics.anomalies) Experiment (class in sboxUv2.display.output) extract_affine_bases() (in module sboxUv2.algorithms.cython_functions) extract_bases() (in module sboxUv2.algorithms.cython_functions)

F

F2_mul() (in module sboxUv2.core.sbox.misc) F2_trans() (in module sboxUv2.core.sbox.cython_functions) F2LinearSystem (class in sboxUv2.algorithms.cython_functions) fbct() (in module sboxUv2.statistics.cython_functions) fbct_interactive_view() (in module sboxUv2.display.pollock) fbct_spectrum() (in module sboxUv2.statistics.cython_functions) feistel_round() (in module sboxUv2.core.building_blocks.one_round_functions)

ffe_from_int() (in module sboxUv2.core.f2functions.field_arithmetic) ffe_to_int() (in module sboxUv2.core.f2functions.field_arithmetic) first_QAMs() (in module sboxUv2.scripts.apnDB.eightBitAPN) (in module sboxUv2.scripts.apnDB.reprs8) format_to_rst() (in module sboxUv2.biblio.references) from_bin() (in module sboxUv2.core.f2functions.cython_functions) FunctionsDB (class in sboxUv2.databases.database)

G

g (in module sboxUv2.scripts.apnDB.reprs8) gen_full_biblio_rst() (in module sboxUv2.biblio.references) generate_apn_ccz_classes_database() (in module sboxUv2.scripts.apnDB.generate) generate_apn_ea_classes_database() (in module sboxUv2.scripts.apnDB.generate) generating_BinLinearMap() (in module sboxUv2.algorithms.cython_functions) generating_BinLinearMap_r() (in module sboxUv2.algorithms.cython_functions) get_bases() (sboxUv2.ccz.cython_functions.WalshZeroesSpaces method) get_image_vectors() (sboxUv2.core.f2functions.cython_functions.BinLinearMap method) get_input_length() (sboxUv2.core.f2functions.cython_functions.BinLinearMap method) (sboxUv2.core.sbox.cython_functions.S_box method) get_input_size() (sboxUv2.core.sbox.cython_functions.S_box_fp method)

get_mappings() (sboxUv2.ccz.cython_functions.WalshZeroesSpaces method) get_name() (sboxUv2.core.sbox.cython_functions.S_box_fp method) get_output_length() (sboxUv2.core.f2functions.cython_functions.BinLinearMap method) (sboxUv2.core.sbox.cython_functions.S_box method) get_output_size() (sboxUv2.core.sbox.cython_functions.S_box_fp method) get_p() (sboxUv2.core.sbox.cython_functions.S_box_fp method) get_proba_func() (in module sboxUv2.statistics.anomalies) get_S_box() (sboxUv2.ccz.tu_decompositions.TUdecomposition method) (sboxUv2.core.f2functions.cython_functions.BinLinearMap method) get_tu_decompositions() (in module sboxUv2.ccz.tu_decompositions) get_WalshZeroesSpaces() (in module sboxUv2.ccz.cython_functions) get_WalshZeroesSpaces_quadratic_apn() (in module sboxUv2.apn.cython_functions)

H

hamming_weight() (in module sboxUv2.core.f2functions.cython_functions)

I

i2f_and_f2i() (in module sboxUv2.core.f2functions.field_arithmetic) identity_BinLinearMap() (in module sboxUv2.core.f2functions.cython_functions) identity_S_box() (in module sboxUv2.core.sbox.cython_functions) image_by() (sboxUv2.ccz.cython_functions.WalshZeroesSpaces method) incr() (sboxUv2.core.spectrum.cython_functions.Spectrum method) incr_by_amount() (sboxUv2.core.spectrum.cython_functions.Spectrum method) incr_by_counting() (sboxUv2.core.spectrum.cython_functions.Spectrum method) init_mappings() (sboxUv2.ccz.cython_functions.WalshZeroesSpaces method) input_space() (sboxUv2.core.sbox.cython_functions.S_box method) (sboxUv2.core.sbox.cython_functions.S_box_fp method) input_space_size() (sboxUv2.core.sbox.cython_functions.S_box method) (sboxUv2.core.sbox.cython_functions.S_box_fp method) insert_after_T() (sboxUv2.ccz.tu_decompositions.TUdecomposition method) insert_after_U() (sboxUv2.ccz.tu_decompositions.TUdecomposition method) insert_before_T() (sboxUv2.ccz.tu_decompositions.TUdecomposition method) insert_before_U() (sboxUv2.ccz.tu_decompositions.TUdecomposition method) insert_full_ccz_equivalence_class() (sboxUv2.apn.database.APNFunctions method) insert_function() (sboxUv2.databases.database.FunctionsDB method)

insert_function_from_lut() (sboxUv2.databases.literatureDB.LiteratureSBoxes method) insert_quadratic_ccz_representative() (sboxUv2.scripts.apnDB.generate.APNQuadraticFunctions_ccz_only method) interactive_distribution_comparison() (in module sboxUv2.display.pollock) interactive_distribution_comparison_bct() (in module sboxUv2.display.pollock) interactive_distribution_comparison_ddt() (in module sboxUv2.display.pollock) interactive_distribution_comparison_lat() (in module sboxUv2.display.pollock) inverse() (in module sboxUv2.core.sbox.misc) (sboxUv2.core.f2functions.cython_functions.BinLinearMap method) (sboxUv2.core.sbox.cython_functions.S_box method) invert_lat() (in module sboxUv2.statistics.cython_functions) is_affine() (in module sboxUv2.algorithms.cython_functions) is_degree_bigger_than() (in module sboxUv2.core.anf.cython_functions) is_differential_uniformity_smaller_than() (in module sboxUv2.statistics.cython_functions) is_in_span() (sboxUv2.algorithms.cython_functions.BinLinearBasis method) is_invertible() (sboxUv2.core.sbox.cython_functions.S_box method) is_new() (sboxUv2.apn.database.APNFunctions method) (sboxUv2.scripts.apnDB.generate.APNQuadraticFunctions_ccz_only method) is_permutation() (in module sboxUv2.core.sbox.misc)

K

kernel_as_bits() (sboxUv2.algorithms.cython_functions.F2LinearSystem method)

kernel_as_bytes() (sboxUv2.algorithms.cython_functions.F2LinearSystem method) keys() (sboxUv2.core.spectrum.cython_functions.Spectrum method)

L

lat() (in module sboxUv2.statistics.cython_functions) lat_coeff_probability_function() (in module sboxUv2.statistics.anomalies) lat_coeff_probability_permutation() (in module sboxUv2.statistics.anomalies) lat_interactive_view() (in module sboxUv2.display.pollock) le_class_representative() (in module sboxUv2.ccz.affine_equivalence.cython_functions) linear_combination() (in module sboxUv2.core.f2functions.cython_functions) linear_equivalence() (in module sboxUv2.ccz.affine_equivalence.cython_functions) linear_equivalence_permutations() (in module sboxUv2.ccz.affine_equivalence.cython_functions)

linear_equivalences() (in module sboxUv2.ccz.cython_functions) linear_structures() (in module sboxUv2.statistics.cython_functions) linear_structures_vectorial() (in module sboxUv2.statistics.cython_functions) linear_structures_vectorial_spectrum() (in module sboxUv2.statistics.cython_functions) linearity() (in module sboxUv2.statistics.cython_functions) LiteratureSBoxes (class in sboxUv2.databases.literatureDB) lsb() (in module sboxUv2.core.f2functions.cython_functions) lut() (sboxUv2.core.sbox.cython_functions.S_box method) (sboxUv2.core.sbox.cython_functions.S_box_fp method)

M

main_cli() (in module sboxUv2.scripts.apnDB.generate) maximum() (sboxUv2.core.spectrum.cython_functions.Spectrum method) module sboxUv2 sboxUv2.algorithms sboxUv2.algorithms.cython_functions sboxUv2.apn sboxUv2.apn.cython_functions sboxUv2.apn.database sboxUv2.biblio sboxUv2.biblio.references sboxUv2.ccz sboxUv2.ccz.affine_equivalence sboxUv2.ccz.affine_equivalence.cython_functions sboxUv2.ccz.cython_functions sboxUv2.ccz.equivalences_from_code sboxUv2.ccz.tu_decompositions sboxUv2.config sboxUv2.core sboxUv2.core.anf sboxUv2.core.anf.cython_functions sboxUv2.core.building_blocks sboxUv2.core.building_blocks.butterflies sboxUv2.core.building_blocks.cython_functions sboxUv2.core.building_blocks.one_round_functions sboxUv2.core.f2functions sboxUv2.core.f2functions.cython_functions sboxUv2.core.f2functions.field_arithmetic sboxUv2.core.sbox sboxUv2.core.sbox.cython_functions sboxUv2.core.sbox.misc sboxUv2.core.spectrum sboxUv2.core.spectrum.cython_functions sboxUv2.databases sboxUv2.databases.database sboxUv2.databases.literatureDB sboxUv2.display sboxUv2.display.output sboxUv2.display.pollock sboxUv2.exploration sboxUv2.exploration.cython_functions sboxUv2.random_objects sboxUv2.random_objects.random_objects sboxUv2.scripts sboxUv2.scripts.apnDB sboxUv2.scripts.apnDB.BeierleLeander sboxUv2.scripts.apnDB.eightBitAPN sboxUv2.scripts.apnDB.firstQAM sboxUv2.scripts.apnDB.generate sboxUv2.scripts.apnDB.reprs6 sboxUv2.scripts.apnDB.reprs7 sboxUv2.scripts.apnDB.reprs8 sboxUv2.scripts.apnDB.secondQAM sboxUv2.statistics sboxUv2.statistics.anomalies sboxUv2.statistics.cython_functions

monomial() (in module sboxUv2.core.sbox.misc) msb() (in module sboxUv2.core.f2functions.cython_functions)

N

n_threads_from_sbox_size() (in module sboxUv2.config) name() (sboxUv2.core.sbox.cython_functions.S_box method)

new_sbox_name() (in module sboxUv2.core.sbox.cython_functions) non_trivial_sn() (in module sboxUv2.exploration.cython_functions)

O

occurrence_of_maximum() (sboxUv2.core.spectrum.cython_functions.Spectrum method) on_mouse_move() (sboxUv2.display.pollock.TableCursor method) open_bibliography() (in module sboxUv2.biblio.references) open_butterfly() (in module sboxUv2.core.building_blocks.butterflies) oplus() (in module sboxUv2.core.f2functions.cython_functions)

ortho_derivative() (in module sboxUv2.apn.cython_functions) ortho_integral() (in module sboxUv2.apn.cython_functions) output_space() (sboxUv2.core.sbox.cython_functions.S_box method) (sboxUv2.core.sbox.cython_functions.S_box_fp method) output_space_size() (sboxUv2.core.sbox.cython_functions.S_box method) (sboxUv2.core.sbox.cython_functions.S_box_fp method)

P

parse_function_from_row() (sboxUv2.apn.database.APNFunctions method) (sboxUv2.databases.database.FunctionsDB method) (sboxUv2.databases.literatureDB.LiteratureSBoxes method) (sboxUv2.scripts.apnDB.generate.APNQuadraticFunctions_ccz_only method)

poly_to_lut() (in module sboxUv2.scripts.apnDB.eightBitAPN) pprint() (in module sboxUv2.display.output) probability_of_max_and_occurrences() (in module sboxUv2.statistics.anomalies) process_arguments() (in module sboxUv2.scripts.apnDB.generate)

Q

quadratic_compact_representation() (in module sboxUv2.core.anf.cython_functions)

quadratic_sbox_from_compact_representation() (in module sboxUv2.core.anf.cython_functions) query_functions() (sboxUv2.databases.database.FunctionsDB method)

R

rand_invertible_Sbox() (in module sboxUv2.random_objects.random_objects) rand_linear_function() (in module sboxUv2.random_objects.random_objects) rand_linear_permutation() (in module sboxUv2.random_objects.random_objects) rand_Sbox() (in module sboxUv2.random_objects.random_objects) random_function_S_box() (in module sboxUv2.core.sbox.misc) random_permutation_S_box() (in module sboxUv2.core.sbox.misc)

rank() (sboxUv2.algorithms.cython_functions.BinLinearBasis method) (sboxUv2.algorithms.cython_functions.F2LinearSystem method) (sboxUv2.core.f2functions.cython_functions.BinLinearMap method) rank_of_vector_set() (in module sboxUv2.core.f2functions.cython_functions) remove_solution() (sboxUv2.algorithms.cython_functions.F2LinearSystem method) rename() (sboxUv2.core.sbox.cython_functions.S_box method) (sboxUv2.core.sbox.cython_functions.S_box_fp method)

S

S_box (class in sboxUv2.core.sbox.cython_functions) S_box_fp (class in sboxUv2.core.sbox.cython_functions) Sb() (in module sboxUv2.core.sbox.cython_functions) sboxUv2 module sboxUv2.algorithms module sboxUv2.algorithms.cython_functions module sboxUv2.apn module sboxUv2.apn.cython_functions module sboxUv2.apn.database module sboxUv2.biblio module sboxUv2.biblio.references module sboxUv2.ccz module sboxUv2.ccz.affine_equivalence module sboxUv2.ccz.affine_equivalence.cython_functions module sboxUv2.ccz.cython_functions module sboxUv2.ccz.equivalences_from_code module sboxUv2.ccz.tu_decompositions module sboxUv2.config module sboxUv2.core module sboxUv2.core.anf module sboxUv2.core.anf.cython_functions module sboxUv2.core.building_blocks module sboxUv2.core.building_blocks.butterflies module sboxUv2.core.building_blocks.cython_functions module sboxUv2.core.building_blocks.one_round_functions module sboxUv2.core.f2functions module sboxUv2.core.f2functions.cython_functions module sboxUv2.core.f2functions.field_arithmetic module sboxUv2.core.sbox module sboxUv2.core.sbox.cython_functions module sboxUv2.core.sbox.misc module sboxUv2.core.spectrum module

sboxUv2.core.spectrum.cython_functions module sboxUv2.databases module sboxUv2.databases.database module sboxUv2.databases.literatureDB module sboxUv2.display module sboxUv2.display.output module sboxUv2.display.pollock module sboxUv2.exploration module sboxUv2.exploration.cython_functions module sboxUv2.random_objects module sboxUv2.random_objects.random_objects module sboxUv2.scripts module sboxUv2.scripts.apnDB module sboxUv2.scripts.apnDB.BeierleLeander module sboxUv2.scripts.apnDB.eightBitAPN module sboxUv2.scripts.apnDB.firstQAM module sboxUv2.scripts.apnDB.generate module sboxUv2.scripts.apnDB.reprs6 module sboxUv2.scripts.apnDB.reprs7 module sboxUv2.scripts.apnDB.reprs8 module sboxUv2.scripts.apnDB.secondQAM module sboxUv2.statistics module sboxUv2.statistics.anomalies module sboxUv2.statistics.cython_functions module scal_prod() (in module sboxUv2.core.f2functions.cython_functions) second_QAMs() (in module sboxUv2.scripts.apnDB.eightBitAPN) (in module sboxUv2.scripts.apnDB.reprs8) section() (in module sboxUv2.display.output) (sboxUv2.display.output.Experiment method) set_cross_hair_visible() (sboxUv2.display.pollock.TableCursor method) sigma_multiplicities() (in module sboxUv2.apn.cython_functions) span() (sboxUv2.algorithms.cython_functions.BinLinearBasis method) Spctr() (in module sboxUv2.core.spectrum.cython_functions) Spectrum (class in sboxUv2.core.spectrum.cython_functions) subsection() (in module sboxUv2.display.output) (sboxUv2.display.output.Experiment method) swap_Blm() (in module sboxUv2.ccz.tu_decompositions) swap_halves() (in module sboxUv2.core.building_blocks.one_round_functions)

T

table_anomaly() (in module sboxUv2.statistics.anomalies) table_interactive_view() (in module sboxUv2.display.pollock) table_negative_anomaly() (in module sboxUv2.statistics.anomalies) TableCursor (class in sboxUv2.display.pollock) thickness() (in module sboxUv2.ccz.tu_decompositions) thickness_spectrum() (in module sboxUv2.ccz.cython_functions) (sboxUv2.ccz.cython_functions.WalshZeroesSpaces method)

to_bin() (in module sboxUv2.core.f2functions.cython_functions) to_bytes() (sboxUv2.core.sbox.cython_functions.S_box method) transpose() (sboxUv2.core.f2functions.cython_functions.BinLinearMap method) tu_decomposition_from_space_basis() (in module sboxUv2.ccz.tu_decompositions) TUdecomposition (class in sboxUv2.ccz.tu_decompositions) twist() (sboxUv2.ccz.tu_decompositions.TUdecomposition method)

U

UnsafePRNG (class in sboxUv2.core.building_blocks.cython_functions)

up_to_constant_equivalences() (in module sboxUv2.ccz.cython_functions)

V

verify_up_to_constant_equivalence() (in module sboxUv2.ccz.cython_functions)

W

walsh_spectrum() (in module sboxUv2.statistics.cython_functions) walsh_transform() (in module sboxUv2.statistics.cython_functions)

WalshZeroesSpaces (class in sboxUv2.ccz.cython_functions) who_to_cite() (in module sboxUv2.biblio.references)

X

xddt() (in module sboxUv2.statistics.cython_functions)

xor() (in module sboxUv2.core.f2functions.cython_functions) xor_equivalence() (in module sboxUv2.ccz.affine_equivalence.cython_functions)

Y

yddt() (in module sboxUv2.statistics.cython_functions)

Z

zddt() (in module sboxUv2.statistics.cython_functions)

zero_BinLinearMap() (in module sboxUv2.core.f2functions.cython_functions)