GitHub

GCD-machine-using-EUCLID-algorithm-in-Verilog

Euclid's algorithm is an ancient and efficient method for finding the GCD of two numbers. The algorithm is based on the observation that the GCD of two numbers does not change if the smaller number is ...
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 ...