GitHub

kapilpalanisamy/Comparative-Study-of-GCD-Algorithms-in-Multiple-Languages-Euclidean-and-Stein-s-algorithms

Overview: This project benchmarks and compares six methods for computing the greatest common divisor (GCD): Euclidean Iterative, Euclidean Recursive, Stein’s Iterative, Stein’s Recursive, Subtraction ...
IEEE

Diophantine Equation and the Euclidean Algorithm: Methods and Philosophy of the Algebraic Approach to Linear Multivariable Control [Lecture Notes]

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 ...
JSTOR Daily

THE EUCLIDEAN ALGORITHM FOR NUMBER FIELDS AND PRIMITIVE ROOTS

Let K be a number field with unit rank at least four, containing a subfield M such that K/M is Galois of degree at least four. We show that the ring of integers of K is a Euclidean domain if and only ...
IEEE

Reformulated Euclidean Algorithm and Optimized (OREA) Architecture for Reed-Solomon Decoding

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