mathematical-cryptography

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RisenCrypto /RisenCrypto.github.io

Write ups on Mathematical Cryptography

cryptography curve25519 finite-fields prime-numbers kate pohlig-hellman zk-snarks pohlig-hellman-algorithm commitment-schemes kzg zksnarks pairing-cryptography elliptic-curve-cryptography quadratic-sieve mathematical-cryptography quadratic-sieve-algorithm plonk kzg-commitment sum-check multilinear-extensions

UpdatedSep 10, 2025
SCSS

lucianoscarpaci /rabin

Star2

This project implements the Rabin Cryptosystem in SageMath, a public-key encryption algorithm based on the integer factorization problem. The system uses blum primes for p and q to simplify the decryption process.

prime-factorizations number-theory integer-factorization secure-communication cryptographic-algorithms sagemath encryption-decryption asymmetric-cryptography public-key-encryption rabin-cryptosystem mathematical-cryptography cryptographic-security algorithm-im

UpdatedOct 14, 2024
Jupyter Notebook

lucianoscarpaci /Curve25519-Signatures

Star1

A SageMath implementation of Edwards-Curve Digital Signature Algorithm (EdDSA), featuring secure key generation, signing, and verification. Focused on Cryptographic Primitives and highly efficient, scalable algorithms.

signing scalability secure-communication public-key-cryptography cryptographic-algorithms sagemath key-generation digital-signatures elliptic-curve-cryptography security-protocols mathematical-cryptography algorithm-efficiency edwards-curve-digital-signature-algorithm cryptographic-security cryptographic-primitives