Fast Modular Arithmetic on the Kalray MPPA-256 Processor for an Energy-Efficient Implementation of ECM
Identifieur interne : 000045 ( Main/Exploration ); précédent : 000044; suivant : 000046Fast Modular Arithmetic on the Kalray MPPA-256 Processor for an Energy-Efficient Implementation of ECM
Auteurs : Masahiro Ishii [Japon] ; Jérémie Detrey [France] ; Pierrick Gaudry [France] ; Atsuo Inomata [Japon] ; Kazutoshi Fujikawa [Japon]Source :
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Abstract
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 el-liptic curves. For parameters corresponding to a crypt-analytic context, our implementation compares well to state-of-the-art implementations on GPU, while using much less energy.
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type="acronym">ITC</orgName><desc><address><country key="JP"></country></address><ref type="url">http://itcw3.naist.jp/mandara.en.html</ref></desc><listRelation><relation active="#struct-367789" type="direct"></relation></listRelation><tutelles><tutelle active="#struct-367789" type="direct"><org type="institution" xml:id="struct-367789" status="INCOMING"><orgName>Nara Institute of Science and Technology</orgName><desc><address><country key="FR"></country></address></desc></org></tutelle></tutelles></hal:affiliation><country>Japon</country></affiliation></author><author><name sortKey="Fujikawa, Kazutoshi" sort="Fujikawa, Kazutoshi" uniqKey="Fujikawa K" first="Kazutoshi" last="Fujikawa">Kazutoshi Fujikawa</name><affiliation wicri:level="1"><hal:affiliation type="laboratory" xml:id="struct-193374" status="VALID"><orgName>Information iniTiative Center</orgName><orgName type="acronym">ITC</orgName><desc><address><country key="JP"></country></address><ref type="url">http://itcw3.naist.jp/mandara.en.html</ref></desc><listRelation><relation active="#struct-367789" type="direct"></relation></listRelation><tutelles><tutelle active="#struct-367789" type="direct"><org type="institution" xml:id="struct-367789" status="INCOMING"><orgName>Nara Institute of Science and Technology</orgName><desc><address><country key="FR"></country></address></desc></org></tutelle></tutelles></hal:affiliation><country>Japon</country></affiliation></author></analytic></biblStruct></sourceDesc></fileDesc><profileDesc><textClass><keywords scheme="mix" xml:lang="en"><term> Elliptic curve method</term><term> Integer factorization</term><term> Multiprecision modular arithmetic</term><term>Kalray MPPA-256 manycore processor</term></keywords></textClass></profileDesc></teiHeader><front><div type="abstract" xml:lang="en">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 el-liptic curves. For parameters corresponding to a crypt-analytic context, our implementation compares well to state-of-the-art implementations on GPU, while using much less energy.</div></front></TEI><affiliations><list><country><li>France</li><li>Japon</li></country><region><li>Grand Est</li><li>Lorraine (région)</li></region><settlement><li>Metz</li><li>Nancy</li></settlement><orgName><li>Université de Lorraine</li></orgName></list><tree><country name="Japon"><noRegion><name sortKey="Ishii, Masahiro" sort="Ishii, Masahiro" uniqKey="Ishii M" first="Masahiro" last="Ishii">Masahiro Ishii</name></noRegion><name sortKey="Fujikawa, Kazutoshi" sort="Fujikawa, Kazutoshi" uniqKey="Fujikawa K" first="Kazutoshi" last="Fujikawa">Kazutoshi Fujikawa</name><name sortKey="Inomata, Atsuo" sort="Inomata, Atsuo" uniqKey="Inomata A" first="Atsuo" last="Inomata">Atsuo Inomata</name></country><country name="France"><region name="Grand Est"><name sortKey="Detrey, Jeremie" sort="Detrey, Jeremie" uniqKey="Detrey J" first="Jérémie" last="Detrey">Jérémie Detrey</name></region><name sortKey="Gaudry, Pierrick" sort="Gaudry, Pierrick" uniqKey="Gaudry P" first="Pierrick" last="Gaudry">Pierrick Gaudry</name></country></tree></affiliations></record>Pour manipuler ce document sous Unix (Dilib)
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