https://github.com/arkworks-rs/algebra

Libraries for finite field, elliptic curve, and polynomial arithmetic

cryptography elliptic-curves finite-fields pairings polynomials rust

Last synced: 12 May 2025

https://github.com/mhostetter/galois

A performant NumPy extension for Galois fields and their applications

aes bch coding-theory cryptography elliptic-curve-cryptography elliptic-curves encryption error-control-coding finite-fields galois galois-fields lfsr ntt number-theory numpy python reed-solomon rsa

Last synced: 02 Jan 2026

https://github.com/andrewmilson/ministark

🏃‍♂️💨 GPU accelerated STARK prover built on @arkworks-rs

apple-silicon arkworks arkworks-rs crypto cryptography fft finite-fields gpu gpu-acceleration gpu-computing gpu-programming m1 metal optimization polynomials rust starks virtual-machine zero-knowledge zkstarks

Last synced: 12 Dec 2025

https://github.com/mratsim/constantine

Constantine: modular, high-performance, zero-dependency cryptography stack for proof systems and blockchain protocols.

barreto-naehrig bigint bignum bls bls-signature bls12-381 constant-time cryptography digital-signature elliptic-curve-arithmetic elliptic-curve-cryptography elliptic-curves finite-fields galois-field hash-to-curve pairing pairing-cryptography public-key-cryptography side-channels zkp

Last synced: 07 Apr 2025

https://github.com/rubycocos/blockchain

blockchain (crypto) tools, libraries & scripts in ruby

blockchain blockchain-lite cryptohash cryptoquotes cryptos distributed-database elliptic finite-fields gems hashtree ledger merkletree oracle proof-of-work ruby sha256 solidity transactions tx

Last synced: 13 Apr 2025

https://github.com/breandan/galoisenne

🕸️ Graphs, finite fields and discrete dynamical systems in Kotlin

adjacency-matrix arithmetic-circuits automata finite-fields finite-state-machine functional-graphs graph graph-algorithms graph-grammars graph-matching graph-theory graph-transformation graph-visualizations graphs induction kotlin linear-algebra parsing

Last synced: 05 Apr 2025

https://github.com/linbox-team/linbox

LinBox - C++ library for exact, high-performance linear algebra

blackbox finite-fields linear-algebra linear-system-solver multiprecision

Last synced: 21 Oct 2025

https://github.com/jeremyong/gal

Geometric Algebra Library

clifford-algebras computational-algebra conformal-geometry cplusplus-17 cplusplus-20 cpp cpp17 cpp20 finite-fields geometric-algebra graphics projective-geometry quaternion-algebra

Last synced: 26 Feb 2026

https://github.com/PoslavskySV/rings

Rings: efficient JVM library for polynomial rings

algebra algebraic-calculations algebraic-data-types commutative-algebra factorization finite-fields groebner-basis mathematics multivariate-polynomials polynomial-arithmetic polynomials

Last synced: 13 May 2025

https://github.com/bohutang/crypto-in-action

algebra arithmetic, finite fields, elliptic curves, zero-knowledge

algebra-airthmetic elliptic-curves finite-fields rust zero-knowledge

Last synced: 24 Apr 2025

https://github.com/BohuTANG/crypto-in-action

algebra arithmetic, finite fields, elliptic curves, zero-knowledge

algebra-airthmetic elliptic-curves finite-fields rust zero-knowledge

Last synced: 18 Apr 2025

https://github.com/linbox-team/fflas-ffpack

FFLAS-FFPACK - Finite Field Linear Algebra Subroutines / Package

blas-libraries finite-fields linear-algebra

Last synced: 21 Oct 2025

https://github.com/sdiehl/galois-field

Finite field and algebraic extension field arithmetic

abstract-algebra finite-field-arithmetic finite-fields galois-field prime-fields

Last synced: 11 Dec 2025

https://github.com/tkluck/galoisfields.jl

Finite fields for Julia

algebra finite-fields galois-field julia

Last synced: 03 Sep 2025

https://github.com/j2kun/finite-fields

Python code and tests for the post 'Programming with Finite Fields'

algorithms cryptography finite-fields mathematics

Last synced: 04 Jul 2025

https://github.com/hyugit/ellipticcurve

An elliptic curve library written in Swift 4

carthage ecc ecdsa ecdsa-cryptography elliptic-curve-arithmetic elliptic-curves finite-elements finite-fields secp256k1 secp256r1 swift swift-package-manager swift4

Last synced: 07 May 2025

https://github.com/sdiehl/galois-fft

Finite field polynomial arithmetic based on fast Fourier transforms

discrete-fourier-transform fast-fourier-transform finite-fields galois-field lagrange-interpolation polynomial-interpolation polynomial-multiplication

Last synced: 11 Dec 2025

https://github.com/ironcorelabs/gridiron

Rust finite field library with fixed size multi-word values

constant-time cryptography finite-fields math

Last synced: 02 Jul 2025

https://github.com/defeo/ffisom

A research project on isomorphisms of finite fields

algorithms finite-fields isomorphism research-paper

Last synced: 15 Apr 2025

https://github.com/sfp932705/ecc

Error correction codes in python.

ecc error-correction error-correction-codes finite-field-arithmetic finite-fields galois-arithmetic galois-field hamming hamming-code notebook python reed-solomon reed-solomon-codes

Last synced: 18 Sep 2025

https://github.com/dannywillems/zkacademy

A place to learn ZK with Jupyter

academy education elliptic-curves finite-fields kzg plonk starks zk zk-snarks

Last synced: 21 Mar 2025

https://github.com/darth-cy/ecc

Base-level implementation of elliptic curve cryptography, including field arithmetics.

cryptography elliptic-curve-cryptography finite-fields rust

Last synced: 22 Mar 2025

https://github.com/lapets/modulo

Pure-Python library for working with modular arithmetic, congruence classes, and finite fields.

abstract-algebra algebra congruence-class congruence-classes congruence-relation field fields finite-fields group groups library mathematics mod modular-arithmetic modulo modulus python python-library ring rings

Last synced: 27 Jul 2025

https://github.com/permutationlock/aes_math

An implementation of Rijndael (AES) encryption that builds the operations from the ground up with finite fields and matrix operations.

aes-encryption finite-fields

Last synced: 01 Jun 2026

https://github.com/actuallyachraf/algebra

A literate :pencil: implementation of algebraic primitives for cryptography and algebraic applications :alembic:

algebra bulletproofs cryptography elliptic-curve-arithmetic elliptic-curve-cryptography finite-fields learning-by-doing pairings polynomials primitives schnorr-signatures

Last synced: 02 Feb 2026

https://github.com/lapets/lagrange

Pure-Python implementation of Lagrange interpolation over finite fields.

finite-fields interpolation interpolation-methods interpolation-polynomial lagrange lagrange-interpolation library math-library python python-library

Last synced: 14 Jul 2025

https://github.com/defeo/hdr

My habilitation thesis

computer-algebra cryptography elliptic-curves finite-fields isogenies number-theory post-quantum-cryptography

Last synced: 19 Mar 2026

https://github.com/kilic/fp256

256-bit prime field Golang implementation

elliptic-curve-cryptography ethereum finite-fields

Last synced: 29 Apr 2026

https://github.com/johnkerl/spffl

A finite-field library in C++

algebraic-data-types finite-field-arithmetic finite-field-discrete-logarithm finite-fields polynomials polynomials-over-finite-fields

Last synced: 06 Feb 2026

https://github.com/rspencer01/tinyfield

Small fields in no_std rust

finite-fields rust

Last synced: 11 Mar 2026

https://github.com/jakeyallop/quarer

A fast and simple QR code encoding library, employing vectorization. See the benchmarks!

c-sharp csharp finite-fields galois-field nuget-package qrcode qrcode-generator vectorization

Last synced: 28 Jan 2026

https://github.com/icostan/cryptos-ruby

Crypto craft your own transactions, atomic-swaps.

atomic-swaps bitcoin crypto cryptography ecdsa elliptic-curves finite-fields learning-by-doing litecoin math ruby

Last synced: 20 Apr 2026

https://github.com/georgiifirsov/galois-lib

Finite field arithmetic library written for my research in cryptography

arithmetic cryptography finite-field-arithmetic finite-field-arithmetics finite-fields galois-field mathematics symmetric-cryptography

Last synced: 12 Apr 2025

https://github.com/chigwell/cryptoschema-extractor

This system takes a textual synopsis of a cryptographic scheme and extracts a structured summary that highlights its key components, such as the types of finite fields used, the encryption process, ke

catalog cryptographic-scheme cryptosystem-analysis educational-material encryption-process feature-extraction finite-fields key-generation mathematical-principles research-summary structured-data-format structured-summary textual-synopsis unstructured-text

Last synced: 14 Jan 2026

https://github.com/bkomuves/finite-fields

arithmetic in (small) finite fields

computer-algebra finite-field-arithmetics finite-fields haskell

Last synced: 15 May 2026

https://github.com/kostadinlambov/the-galois-field-in-cryptography

This project is about Galois fields, what properties they have and how they can be used in cryptography.

aes-encryption asymmetric-cryptography encryption-decryption extension-fields finite-fields galois-fields numpy prime-fields python symmetric-cryptography

Last synced: 08 May 2026

https://github.com/grondilu/finite-fields-raku

Finite Fields in raku

finite-field-arithmetics finite-fields galois-field

Last synced: 12 Apr 2025

https://github.com/tigeryant/programming-bitcoin-rust

Solutions to 'Programming Bitcoin' written in Rust

coding-exercises elliptic-curve-cryptography finite-fields programming-bitcoin rust rust-bitcoin rust-lang

Last synced: 08 Sep 2025

https://github.com/polinasavelyeva/finitefields

C library for working with elements of finite fields

c finite-fields

Last synced: 15 Apr 2025

https://github.com/erhant/fftype

Finite-field arithmetic within the type system.

cryptography elliptic-curves finite-fields polynomials types typescript

Last synced: 05 Oct 2025

https://github.com/defeo/nemo-embeddings-demo

computer-algebra finite-fields julia

Last synced: 17 Apr 2026

https://github.com/jacksonwalters/graphs

Embeds the adjacency matrix of a graph into the finite field F_q

adjacency-matrix finite-fields graph-embedding graphs

Last synced: 10 Sep 2025

https://github.com/jacksonwalters/dft-finite-groups

DFT for cyclic group and symmetric group over finite fields, and number fields in the unitary case.

cyclic-group discrete-fourier-transform finite-fields fourier-transform modular representation-theory symmetric-group

Last synced: 20 Mar 2025

https://github.com/edoars/finite-fields-notes

LaTeX notes for the undergraduate Finite Fields course at University of Trento

finite-fields latex-notes math notes

Last synced: 19 Mar 2026

https://github.com/dexcompiler/curves

Elliptic curve operations over finite fields

cryptography csharp elliptic-curve-cryptography finite-fields high-performance prime-numbers

Last synced: 04 Jun 2026