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An approximating k-ary GCD algorithm


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Abstract

In our paper we elaborate a new version of the k-ary GCD algorithm. Our algorithm is based on the Farey Series and surpasses all existing realizations of the k-ary algorithm. It can have practical applications inMathematics and Cryptography.

About the authors

Sh. Ishmukhametov

Institute of Computational Mathematics and Information Technologies

Author for correspondence.
Email: ishm@nextmail.ru
Russian Federation, Kremlevskaya ul. 18, Kazan, Tatrstan, 420008

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