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: Modular arithmetic is becoming an area of major importance for many modern applications; RNS is widely used in digital signal processing, and most public-key cryptographic algorithms require ...

ABSTRACT: This paper considers a decomposition framework as a mechanism for information hiding for secure communication via open network channels. Two varieties of this framework are provided: one is ...

Montgomery algorithms represent a transformative advancement in the computation of modular arithmetic, specifically designed to bypass the costly division steps inherent in traditional methods. By ...

Abstract: This paper presents an arithmetic module generator based on an arithmetic description language called ARITH. The use of ARITH makes it possible to describe a wide variety of arithmetic ...