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Improvements on the accelerated integer GCD algorithm

Published in arXiv (Cornell University) • Feb 10, 2014
NobleIDNI6P97W26R92S70
Authors:
Sidi Mohamed Sedjelmaci
,
Christian Lavault

Abstract

The present paper analyses and presents several improvements to the algorithm for finding the $(a,b)$-pairs of integers used in the $k$-ary reduction of the right-shift $k$-ary integer GCD algorithm. While the worst-case complexity of Weber's "Accelerated integer GCD algorithm" is $\cOł(\log_ϕ(k)^2\...

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