Boolean-Cayley-graphs: Python package reference documentation

Boolean-Cayley-graphs is a collection of Sage and Python software for the investigation of bent Boolean functions, their Cayley graphs, and associated structures.

This is the reference documentation for the boolean_cayley_graphs Python package: a set of Python classes and utility functions that forms the core of the Boolean-Cayley-graphs collection.

The documentation is organized into a thematic index and other indices and tables.

See also the README.md file for Boolean-Cayley-graphs, as well as the accompanying paper [Leo2017].

Thematic index

Classifications of bent functions

• Classification of bent functions by their Cayley graphs

• Classification of bent functions by their weight

Classification of boolean functions

• Classification of boolean functions within an extended translation class

Boolean functions

• An improved boolean function class

• A general linear equivalence class of boolean functions

• Bent boolean functions

Graphs

• An improved Graph class

• Boolean graphs

• Boolean linear code graphs

• Cayley graph of a boolean function

• Strongly regular graphs

• The Royle X graph

Linear codes

• Boolean linear codes

• Some binary projective two weight codes

Parallel algorithms

• Classification in parallel using fork

• Classification in parallel using MPI

Database interfaces

• Interface to a classification database using psycopg2

• Interface to a classification database using sqlite3

Utilities

• Bit-level properties of integers

• Controls for timing and tracing

• Improved container classes

• Tests for GF(2) linear algebra

• Load and save Sage objects with standardized names

References

• Reference generation

• References

Indices and tables

• Index

• Module Index

• Search Page