Calculation of extended gcd by normalization

Volume 3, Issue 3, June 2018     |     PP. 118-131      |     PDF (269 K)    |     Pub. Date: August 2, 2018
DOI:    440 Downloads     7759 Views  

Author(s)

WOLF Marc, Independent researchers.
WOLF François, Independent researchers.
LE COZ Corentin, Independent researchers.

Abstract
We propose a new algorithm solving the extended gcd problem, which provides a solution minimizing one of the two coordinates. The algorithm relies on elementary arithmetic properties.

Keywords
extended gcd; normalizer; co-normalizer; minimizing one of the two coordinates; normal solution; linear diophantine equation; mixed Euclid algorithm

Cite this paper
WOLF Marc, WOLF François, LE COZ Corentin, Calculation of extended gcd by normalization , SCIREA Journal of Mathematics. Volume 3, Issue 3, June 2018 | PP. 118-131.

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