sboxUv2 package

sboxUv2 is a package providing both all the algorithms relevant to the study of vectorial Boolean functions, in particular those intended to be used as S-boxes within symmetric cryptographic primitives.

A particular focus is put on efficiency: large parts of this library are written in C++, and multi-threading is used as much as possible.

Subpackages

• sboxUv2.algorithms package
  • Submodules
  • sboxUv2.algorithms.cython_functions module
    • BinLinearBasis
      • BinLinearBasis.add_to_span()
      • BinLinearBasis.is_in_span()
      • BinLinearBasis.rank()
      • BinLinearBasis.span()
    • extract_affine_bases()
    • extract_bases()
• sboxUv2.apn package
  • Submodules
  • sboxUv2.apn.cython_functions module
• sboxUv2.biblio package
  • Submodules
  • sboxUv2.biblio.references module
    • cite()
    • cite_as()
    • format_to_rst()
    • gen_full_biblio_rst()
    • open_bibliography()
    • who_to_cite()
• sboxUv2.ccz package
  • Subpackages
    • sboxUv2.ccz.affine_equivalence package
      • Submodules
      • sboxUv2.ccz.affine_equivalence.cython_functions module
  • Submodules
  • sboxUv2.ccz.cython_functions module
    • ccz_equivalent_function()
    • enumerate_ea_classes()
    • thickness_spectrum()
• sboxUv2.core package
  • Subpackages
    • sboxUv2.core.anf package
      • Submodules
      • sboxUv2.core.anf.cython_functions module
    • sboxUv2.core.building_blocks package
      • Submodules
      • sboxUv2.core.building_blocks.one_round_functions module
    • sboxUv2.core.f2functions package
      • Submodules
      • sboxUv2.core.f2functions.cython_functions module
      • sboxUv2.core.f2functions.field_arithmetic module
    • sboxUv2.core.sbox package
      • Submodules
      • sboxUv2.core.sbox.cython_functions module
      • sboxUv2.core.sbox.misc module
    • sboxUv2.core.spectrum package
      • Submodules
      • sboxUv2.core.spectrum.cython_functions module
• sboxUv2.display package
  • Submodules
  • sboxUv2.display.output module
    • pprint()
  • sboxUv2.display.pollock module
    • TableCursor
      • TableCursor.on_mouse_move()
      • TableCursor.set_cross_hair_visible()
    • bct_interactive_view()
    • ddt_interactive_view()
    • fbct_interactive_view()
    • interactive_distribution_comparison()
    • interactive_distribution_comparison_bct()
    • interactive_distribution_comparison_ddt()
    • interactive_distribution_comparison_lat()
    • lat_interactive_view()
    • table_interactive_view()
• sboxUv2.statistics package
  • Submodules
  • sboxUv2.statistics.anomalies module
    • bct_coeff_probability()
    • ddt_coeff_probability()
    • expected_max_ddt()
    • expected_max_lat()
    • expected_max_lat_function()
    • get_proba_func()
    • lat_coeff_probability_function()
    • lat_coeff_probability_permutation()
    • probability_of_max_and_occurrences()
    • table_anomaly()
    • table_negative_anomaly()
  • sboxUv2.statistics.cython_functions module
    • absolute_walsh_spectrum()
    • bct()
    • boomerang_spectrum()
    • boomerang_uniformity()
    • ddt()
    • differential_spectrum()
    • differential_uniformity()
    • fbct()
    • fbct_spectrum()
    • invert_lat()
    • is_differential_uniformity_smaller_than()
    • lat()
    • linearity()
    • walsh_spectrum()
    • walsh_transform()

Submodules

sboxUv2.config module

The maximum number of threads used in each function.

sboxUv2.config.n_threads_from_sbox_size(n)

Customize this function to adjust the number of threads used by multi-threaded functions.

The idea is to prevent the use of many threads when each of them actually has very little to do.

Parameters:

n (-) – the bitlength of an S-box input.

Returns:

The number of threads to use. The higher the input, the higher the number of threads.