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 ...

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

ABSTRACT: Let x and y be two positive real numbers with x y. Consider a traveler, on the interval [0, y/2], departing from 0 and taking steps of length equal to x. Every time a step reaches an ...

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.

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