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Revisiting Sum of Residues Modular Multiplication
Joint Authors
Source
Journal of Electrical and Computer Engineering
Issue
Vol. 2010, Issue 2010 (31 Dec. 2010), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2010-11-30
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Engineering Sciences and Information Technology
Information Technology and Computer Science
Abstract EN
In the 1980s, when the introduction of public key cryptography spurred interest in modular multiplication, many implementations performed modular multiplication using a sum of residues.
As the field matured, sum of residues modular multiplication lost favor to the extent that all recent surveys have either overlooked it or incorporated it within a larger class of reduction algorithms.
In this paper, we present a new taxonomy of modular multiplication algorithms.
We include sum of residues as one of four classes and argue why it should be considered different to the other, now more common, algorithms.
We then apply techniques developed for other algorithms to reinvigorate sum of residues modular multiplication.
We compare FPGA implementations of modular multiplication up to 24 bits wide.
The sum of residues multipliers demonstrate reduced latency at nearly 50% compared to Montgomery architectures at the cost of nearly doubled circuit area.
The new multipliers are useful for systems based on the Residue Number System (RNS).
American Psychological Association (APA)
Kong, Yinan& Phillips, Braden. 2010. Revisiting Sum of Residues Modular Multiplication. Journal of Electrical and Computer Engineering،Vol. 2010, no. 2010, pp.1-9.
https://search.emarefa.net/detail/BIM-488766
Modern Language Association (MLA)
Kong, Yinan& Phillips, Braden. Revisiting Sum of Residues Modular Multiplication. Journal of Electrical and Computer Engineering No. 2010 (2010), pp.1-9.
https://search.emarefa.net/detail/BIM-488766
American Medical Association (AMA)
Kong, Yinan& Phillips, Braden. Revisiting Sum of Residues Modular Multiplication. Journal of Electrical and Computer Engineering. 2010. Vol. 2010, no. 2010, pp.1-9.
https://search.emarefa.net/detail/BIM-488766
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-488766