Abstract: In this paper, we present a Reformulated Euclidean Algorithm (REA) and its optimized architecture for Reed-Solomon decoding. Through algorithm ...

Abstract: The story behind the Euclidean algorithm and its relationship to the solution of the Diophantine equation is examined in this article. The Euclidean algorithm appears in Proposition 2 in ...

Mr. Conte is the co-founder and chief executive of Patreon. The World Wide Web was introduced some three decades ago. Describing in 2019 the hopes that had been projected onto the internet at its ...

The consortium running the European Space Agency's (ESA) Euclid mission has published the most extensive simulation of the cosmos to date. The modeling was based on algorithms developed by UZH ...

In this paper, a new mathematical method is used to study the indefinite equations of binary quadratic and binary arbitrary order, the problem of judging and solving these indefinite equations with or ...

Implementation of Diffie-Hellman Key-exchange, RSA algorithm, DSS(Digital Signature Signing and Verification), Extended Euclidean Algo., Fermat's Little Theorem, Fast Modular Exponentiation ...

Finds the greatest common divisor of two integers using a recursive function based on the Euclidean Algorithm. Simple netbeans-generated GUI.

ABSTRACT: In certain computational systems the amount of space required to execute an algorithm is even more restrictive than the corresponding time necessary for solution of a problem. In this paper ...