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International Journal of Intelligent Systems and Applications(IJISA)

ISSN: 2074-904X (Print), ISSN: 2074-9058 (Online)

Published By: MECS Press

IJISA Vol.8, No.11, Nov. 2016

The Analysis and Investigation of Multiplicative Inverse Searching Methods in the Ring of Integers Modulo M

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Author(s)

Zhengbing Hu, I. A. Dychka, Onai Mykola, Bartkoviak Andrii

Index Terms

Integers modulo m;Error control coding;Data security;Euclidean algorithm

Abstract

In this article an investigation into search operations for the multiplicative inverse in the ring of integers modulo m for Error Control Coding tasks and for data security is shown. The classification of the searching operation of the multiplicative inverse in the ring of integers modulo m is provided. The best values of parameters for Joye-Paillier method and Lehmer algorithm were also found. The improved Bradley modification for the extended Euclidean algorithm is also offered, which gives the operating speed improvement for 10-15%. The integrated experimental research of basic classes of searching methods for multiplicative inverse in the ring of integers modulo m is conducted for the first time and the analytical formulas for these calculations of random access memory necessary space when operated at k-ary RS-algorithms and their modifications are shown.

Cite This Paper

Zhengbing Hu, I. A. Dychka, Onai Mykola, Bartkoviak Andrii,"The Analysis and Investigation of Multiplicative Inverse Searching Methods in the Ring of Integers Modulo M", International Journal of Intelligent Systems and Applications(IJISA), Vol.8, No.11, pp.9-18, 2016. DOI: 10.5815/ijisa.2016.11.02

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