Architectures for fast modular multiplication

Ahmet Aris*, Berna Ors, Gokay Saldamli

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

4 Citations (Scopus)

Abstract

Modular multiplication is the key ingredient needed to realize most public-key cryptographic primitives. In a modular setting, multiplications are carried in two steps: namely a usual integer arithmetic followed by a reduction step. Progress in any of these steps naturally improves the modular multiplication but it is not possible to interleave the best algorithms of these stages. In this study, we propose architectures for recently proposed method of interleaving the Karatsuba-Ofman multiplier and bipartite modular reduction on the upper most layer of Karatsuba-Ofman's recursion. We manage to come up with a high performance modular multiplication architecture by taking the advantage of a fast multiplication and a parallel reduction method."

Original languageEnglish
Title of host publicationProceedings - 2011 14th Euromicro Conference on Digital System Design
Subtitle of host publicationArchitectures, Methods and Tools, DSD 2011
Pages434-437
Number of pages4
DOIs
Publication statusPublished - 2011
Event2011 14th Euromicro Conference on Digital System Design: Architectures, Methods and Tools, DSD 2011 - Oulu, Finland
Duration: 31 Aug 20112 Sept 2011

Publication series

NameProceedings - 2011 14th Euromicro Conference on Digital System Design: Architectures, Methods and Tools, DSD 2011

Conference

Conference2011 14th Euromicro Conference on Digital System Design: Architectures, Methods and Tools, DSD 2011
Country/TerritoryFinland
CityOulu
Period31/08/112/09/11

Keywords

  • Bipartite modular multiplication
  • Interleaved multiplication
  • Karatsuba-Ofman algorithm
  • Modular arithmetic

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