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gf2_lin_algebra

Documentation

Python package for linear algebra operations in GF(2)

gf2_lin_algebra is a high-performance Python library for doing linear algebra over the finite field GF(2) (binary matrices and vectors).
The implementation is written in Rust for speed and safety, and exposed to Python using PyO3.

This package is useful for:

  • cryptography research
  • boolean matrix algebra
  • solving linear system of equations over over GF(2)
  • teaching and exploration of finite fields

Features

  • Native Rust backend (fast, safe, no dependencies)
  • Matrix and vector representation over GF(2)
  • Rank, image, kernel, row-reduction, solving linear system of equations
  • Pythonic API (GF2Matrix)
  • Designed to be simple and educational
  • Actively developed and open source

Installation

pip install gf2-lin-algebra

or clone the repo and install locally:

git clone https://github.com/LucaBonamino/gf2_lin_algebra.git
cd lin_algebra_py
pip install .

Quick Example

from gf2_lin_algebra import GF2Matrix

# Create matrix
mat = GF2Matrixx([
    [1,0,1],
    [0,1,1],
    [1,1,0]
    ])

# Check shape
print(mat.shape())     # -> (3, 3)

# Compute rank
print(mat.rank())      # -> 3

# Compute kernel
print(mat.kernel())

# Compute image
print(mat.image())

# Solve system of equations
print(mat.solve([1,1,0]))

# Solve matrix sytem of equation
mat_y = GF2Matrixx([
    [0,1,1],
    [1,1,0],
    [0,0,1]
    ])
print(mat.solve_matrix_system(mat_y))

Roadmap

This package focuses on providing a clean, user-friendly Python API for linear algebra over GF(2).

While performance is important, gf2_lin_algebra intentionally keeps a clear and debuggable implementation, suitable for learning, research, and experimentation.

Planned directions include:

  • improving performance while preserving a readable, educational code path
  • exposing optimized operations implemented in the Rust crate lin_algebra
  • refining the Python API for clarity and consistency
  • adding examples, documentation, and tests

Most low-level optimizations and algorithmic improvements are developed in the Rust backend. This package focuses primarily on usability and ergonomics for Python users.

For a more detailed list of ideas and areas where help is welcome, see ROADMAP.md.

Contributing

Contributions are welcome! Please see CONTRIBUTING.md for guidelines.

Metadata

Release files for gf2-lin-algebra 1.0.1

For a detailed explanation of source distributions (sdists) and built distributions (wheels), please see the package formats documentation.

Source distribution (sdist)

Source distribution for gf2-lin-algebra 1.0.1
File Size Uploaded Provenance
gf2_lin_algebra-1.0.1.tar.gz 10.0 kB Without provenance Details

Built distributions (wheels)

Table of built distributions (wheels) for gf2-lin-algebra 1.0.1
File
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gf2_lin_algebra-1.0.1-pp311-pypy311_pp73-musllinux_1_2_i686.whl PyPy 3.11 PyPy 3.11 7.3 Linux musl 1.2+ x86-32 Details
gf2_lin_algebra-1.0.1-pp311-pypy311_pp73-musllinux_1_2_armv7l.whl PyPy 3.11 PyPy 3.11 7.3 Linux musl 1.2+ ARMv7l Details
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gf2_lin_algebra-1.0.1-cp314-cp314-manylinux_2_17_armv7l.manylinux2014_armv7l.whl CPython 3.14 CPython 3.14 Linux glibc 2.17+ ARMv7l Details
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gf2_lin_algebra-1.0.1-cp311-cp311-win_amd64.whl CPython 3.11 CPython 3.11 Windows x86-64 Details
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gf2_lin_algebra-1.0.1-cp311-cp311-musllinux_1_2_i686.whl CPython 3.11 CPython 3.11 Linux musl 1.2+ x86-32 Details
gf2_lin_algebra-1.0.1-cp311-cp311-musllinux_1_2_armv7l.whl CPython 3.11 CPython 3.11 Linux musl 1.2+ ARMv7l Details
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gf2_lin_algebra-1.0.1-cp310-cp310-manylinux_2_17_x86_64.manylinux2014_x86_64.whl CPython 3.10 CPython 3.10 Linux glibc 2.17+ x86-64 Details
gf2_lin_algebra-1.0.1-cp310-cp310-manylinux_2_17_s390x.manylinux2014_s390x.whl CPython 3.10 CPython 3.10 Linux glibc 2.17+ IBM System/390x Details
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gf2_lin_algebra-1.0.1-cp39-cp39-musllinux_1_2_armv7l.whl CPython 3.9 CPython 3.9 Linux musl 1.2+ ARMv7l Details
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gf2_lin_algebra-1.0.1-cp39-cp39-manylinux_2_17_s390x.manylinux2014_s390x.whl CPython 3.9 CPython 3.9 Linux glibc 2.17+ IBM System/390x Details
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gf2_lin_algebra-1.0.1-cp39-cp39-manylinux_2_17_aarch64.manylinux2014_aarch64.whl CPython 3.9 CPython 3.9 Linux glibc 2.17+ ARM64 Details
gf2_lin_algebra-1.0.1-cp39-cp39-manylinux_2_5_i686.manylinux1_i686.whl CPython 3.9 CPython 3.9 Linux glibc 2.5+ x86-32 Details
gf2_lin_algebra-1.0.1-cp38-cp38-musllinux_1_2_x86_64.whl CPython 3.8 CPython 3.8 Linux musl 1.2+ x86-64 Details
gf2_lin_algebra-1.0.1-cp38-cp38-musllinux_1_2_i686.whl CPython 3.8 CPython 3.8 Linux musl 1.2+ x86-32 Details
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gf2_lin_algebra-1.0.1-cp38-cp38-manylinux_2_17_aarch64.manylinux2014_aarch64.whl CPython 3.8 CPython 3.8 Linux glibc 2.17+ ARM64 Details
gf2_lin_algebra-1.0.1-cp38-cp38-manylinux_2_5_i686.manylinux1_i686.whl CPython 3.8 CPython 3.8 Linux glibc 2.5+ x86-32 Details

Total release size: 40.7 MB

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