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 ...

Abstract: Extended Euclid Algorithm (EEA) is one of the alternatives in gaining the multiplicative inverse value in finite field GF (2 8). Previously, the look-up table (LUT) approach is widely used ...

Euclidean Algorithm Function: Computes the GCD of two numbers using recursion and iteration. Extended Euclidean Algorithm Function: Determines integer coefficients for Bézout's identity and finds ...

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 ...