sagemath-cryptographic-functions-library 0.1.1

A SageMath library for cryptographic functions

SageMath Library for Cryptographic Functions

This project provides a SageMath library for working with cryptographic functions, with a particular focus on quadratic APN (Almost Perfect Nonlinear) functions.

The library aims to make research workflows involving APN families, representation conversions, and family membership testing easier to reproduce and extend.

Features

• Conversion between principal representations of vectorial Boolean functions, univariate polynomial to / from
  • Truth table
  • Quadratic Matrix
  • Sequence
  • Bivariate
  • Trivariate
• Implementations of known infinite families of quadratic APN functions in univariate form
• Membership testing for identifying whether a function belongs to a known family

Requirements

• SageMath 10.8 +
• Python 3.9 +

Installation

From PyPI (recommended)

In a Sage terminal write

pip install sagemath-cryptographic-functions-library

Or from a regular terminal write

sage --pip install sagemath-cryptographic-functions-library

From GitHub

In a Sage terminal write

pip install git+https://github.com/hoeeg/SageMath_library_for_cryptographic_functions.git

Or in regular terminal write

sage --pip install git+https://github.com/hoeeg/SageMath_library_for_cryptographic_functions.git

Usage

from sagemath_cryptographic_functions_library import convert, families, membership

Don't have Sage?

You can try Sage online without installing anything locally from any of

   

For a local install, the Sage Installation Guide walks through the available options.

More about Sage or how to download it, can be found in its Documentation.

Layout

├── library/
│   ├── convert.py        Representation conversions
│   ├── families.py       Known APN family constructions
│   ├── helpers.py        Finite field utility functions
│   └── membership.py     Family identification algorithms
├── README.md             This file
├── setup.py              Top-level configure script
└── LICENCE               Copyright information