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Architectures for Fast Modular Multiplication

Authors: Ahmet Aris; Siddika Berna Örs; Gökay Saldamli;

Architectures for Fast Modular Multiplication

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.

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
1
Average
Average
Average
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