A New Algorithm to Compare the Magnitude of Two RNS Numbers
December 29, 2016 Β· Declared Dead Β· π arXiv.org
"No code URL or promise found in abstract"
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Authors
Parham Ghayour
arXiv ID
1612.09168
Category
cs.DS: Data Structures & Algorithms
Cross-listed
math.NT
Citations
0
Venue
arXiv.org
Last Checked
5 months ago
Abstract
Comparison of two numbers in RNS systems is a challenging task. In this paper, a new algorithm to compare the magnitude of two RNS numbers, using a clustering method has been proposed. In the clustering process, each inputted number is assigned to a cluster. To compare the magnitude of two numbers, first the clusters of these numbers and their differences are obtained. Then by comparing these clusters, the relative magnitude of two numbers is determined. All of these processes are performed in RNS system without converting numbers to the binary system.
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