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 ...

Cryptography secures communication in banking, messaging, and blockchain. Good algorithms (AES, RSA, ECC, SHA-2/3, ChaCha20) are secure, efficient, and widely trusted. Bad algorithms (DES, MD5, SHA-1, ...

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 ...

Abstract: Causal information is implicit in the spatial characteristics of non-Euclidean data, and recently some researchers have proposed the Non-Euclidean Causal Model (NECM) to describe causal ...

Add a description, image, and links to the euclidean-algorithm topic page so that developers can more easily learn about it.

This program offers a C++ solution to compute the Greatest Common Divisor (GCD) of two strings, showcasing an application of the Euclidean algorithm for string manipulation.

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 ...