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Reseach Article

An Algorithm for Magnitude Comparison in RNS based on Mixed-Radix Conversion II

by Konstantin Isupov
International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 141 - Number 5
Year of Publication: 2016
Authors: Konstantin Isupov
10.5120/ijca2016909626

Konstantin Isupov . An Algorithm for Magnitude Comparison in RNS based on Mixed-Radix Conversion II. International Journal of Computer Applications. 141, 5 ( May 2016), 1-4. DOI=10.5120/ijca2016909626

@article{ 10.5120/ijca2016909626,
author = { Konstantin Isupov },
title = { An Algorithm for Magnitude Comparison in RNS based on Mixed-Radix Conversion II },
journal = { International Journal of Computer Applications },
issue_date = { May 2016 },
volume = { 141 },
number = { 5 },
month = { May },
year = { 2016 },
issn = { 0975-8887 },
pages = { 1-4 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume141/number5/24777-2016909626/ },
doi = { 10.5120/ijca2016909626 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T23:42:37.802080+05:30
%A Konstantin Isupov
%T An Algorithm for Magnitude Comparison in RNS based on Mixed-Radix Conversion II
%J International Journal of Computer Applications
%@ 0975-8887
%V 141
%N 5
%P 1-4
%D 2016
%I Foundation of Computer Science (FCS), NY, USA
Abstract

The residue number system (RNS) has computational advantages for large integer arithmetic because of its parallel carry free, and high-speed arithmetic nature. However, magnitude comparison is a very complex operation for RNS. This paper presents a new comparison algorithm based on the modification of Mixed-Radix Conversion II technique. The new algorithm uses small modulo operations only and has a linear time complexity in terms of the size of the moduli set.

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Index Terms

Computer Science
Information Sciences

Keywords

Residue number system magnitude comparison mixed-radix conversion MRC-II