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 ...

The first piece of the Euclid space telescope's map of the universe is crammed with 14 million galaxies and 100 million sources of light. The mapping project is now 1% done. When you purchase through ...

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: 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 ...