RSA-From-Scratch An implementation of the RSA cryptosystem from first principles, demonstrating foundational algorithms like Miller-Rabin, Karatsuba Multiplication, and the Extended Euclidean ...

RSA, which based on the great difficulty of integer factorization, is the most widely-used public-key cryptosystem used in electronic commerce. Euclid algorithm and extended Euclid algorithm are the ...

Objective This project implements both the Euclidean Algorithm to compute the Greatest Common Divisor (GCD) of two integers and the Extended Euclidean Algorithm, which finds integer coefficients for ...

AUTHORS: Boris S. Verkhovsky KEYWORDS: Extended-Euclid Algorithm, Modular Multiplicative Inverse, Public-Key Cryptography, RSA Cryptocol, Rabin Information Hiding Algorithm, ElGamal ...

And no surprise, it’s a data leak in some implementations of the Extended Euclidean Algorithm (EEA), a component of an Elliptical Curve Digital Signature Algorithm (ECDSA). OK, time to step back.

This paper describes and validates a new algorithm, called the Enhanced Euclid Algorithm, for modular multiplicative inverse (MMI). Analysis of the proposed algorithm shows that it is more efficient ...