Fast Modular Arithmetic on the Kalray MPPA-256 Processor for an Energy-Efficient Implementation of ECM

The Kalray MPPA-256 processor is based on a recent low-energy manycore architecture. In this article, we investigate its performance in multiprecision arithmetic for number-theoretic applications. We have developed a library for modular arithmetic that takes full advantage of the particularities of...

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Veröffentlicht in:IEEE Transactions on Computers Jg. 66; H. 12; S. 2019 - 2030
Hauptverfasser: Ishii, Masahiro, Detrey, Jeremie, Gaudry, Pierrick, Inomata, Atsuo, Fujikawa, Kazutoshi
Format: Journal Article
Sprache:Englisch
Veröffentlicht: New York IEEE 01.12.2017
Institute of Electrical and Electronics Engineers (IEEE)
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Institute of Electrical and Electronics Engineers
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ISSN:0018-9340, 1557-9956
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Zusammenfassung:The Kalray MPPA-256 processor is based on a recent low-energy manycore architecture. In this article, we investigate its performance in multiprecision arithmetic for number-theoretic applications. We have developed a library for modular arithmetic that takes full advantage of the particularities of this architecture. This is in turn used in an implementation of the ECM, an algorithm for integer factorization using elliptic curves. For parameters corresponding to a cryptanalytic context, our implementation compares well to state-of-the-art implementations on GPU, while using much less energy.
Bibliographie:ObjectType-Article-1
SourceType-Scholarly Journals-1
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ISSN:0018-9340
1557-9956
DOI:10.1109/TC.2017.2704082