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 Bézout's ...

ABSTRACT: Numerous cryptographic algorithms (ElGamal, Rabin, RSA, NTRU etc) require multiple computations of modulo multiplicative inverses. This paper describes and validates a new algorithm, called ...

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