Extended Euclidean Algorithm This program implements the extended euclidean algorithm for the integers Z, gaussian integers Z [i] and eisenstein integers Z [w]. The actual algorithm implementation is ...

This lab investigates the mathematical method of the extended Euclidean algorithm using Matlab. The extended Euclidean algorithm is a powerful tool for finding the greatest common divisor (GCD) of two ...

A novel method to obtain a basis for all possible solutions for decoding Reed-Solomon (RS) codes is given, using an intermediate result of decoding obtained by the Extended Euclidean Algorithm. The ...

The rational reconstruction problem was generally solved by classical Euclidean algorithm. In this paper, we achieve an Extended Euclidean algorithm for rational, and obtain an solvability criterion, ...