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Efficient SIMD Arithmetic Modulo a Mersenne Number

descriptionPublicationkeyboard_double_arrow_right Article , Conference object 01 Jul 2011Publisher:IEEEJournal:2011 IEEE 20th Symposium on Computer Arithmetic
Authors: Joppe W. Bos; Thorsten Kleinjung; Arjen K. Lenstra; Peter L. Montgomery;

doi: 10.1109/arith.2011.37

Efficient SIMD Arithmetic Modulo a Mersenne Number

Abstract

This paper describes carry-less arithmetic operations modulo an integer 2^M-1 in the thousand-bit range, targeted at single instruction multiple data platforms and applications where overall throughput is the main performance criterion. Using an implementation on a cluster of PlayStation 3 game consoles a new record was set for the elliptic curve method for integer factorization.

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    popularity
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    influence
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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!
7
Average
Top 10%
Average
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