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 ...
There’s a rather beautiful algorithm for finding the greatest common divisor of two positive integers. For example, the greatest common divisor of 120 and 105 is 15. It’s clear that 15 is a divisor of ...
Abstract: The extended Greatest Common Divisor (GCD) is an extension of the GCD operation, which computes not only the GCD of integers a and b but also the Bezout's coefficients that are integers x ...
College of Mathematics and Computational Science, Guilin University of Electronic Technology, Guilin, China. Department of Mathematics, Shanghai University, Shanghai, China. The task of determining ...
Abstract: This paper is concerned with a universal guessing codeword decoding (GCD) of linear block codes, referred to as locally constrained GCD (LC-GCD), which does not require the online Gaussian ...