Efficient removal of divisors in the k-ary algorithm

The k-ary algorithm is one of the most efficient methods for finding the greatest common divisor (GCD). To find GCD of u and v, we performed the k-ary reduction t = |au + bv|/k, where 0 < a, |b| ≤ [√ k]: au + bv = 0(mod k). The reduction step is used when and have almost the same size. Otherwis...

Full description

Bibliographic Details
Main Author: R.R. Enikeev
Format: Article
Language:English
Published: Kazan Federal University 2019-09-01
Series:Учёные записки Казанского университета. Серия Физико-математические науки
Subjects:
Online Access:https://kpfu.ru/uz-eng-phm-2019-3-6.html