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