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Implementing cryptographic pairings at standard security levels

hal.structure.identifierLithe and fast algorithmic number theory [LFANT]
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorENGE, Andreas
hal.structure.identifierKoDe Software
dc.contributor.authorMILAN, Jérôme
dc.contributor.editorRajat Subhra Chakraborty
dc.contributor.editorVashek Matyas
dc.contributor.editorPatrick Schaumont
dc.date.accessioned2024-04-04T03:21:17Z
dc.date.available2024-04-04T03:21:17Z
dc.date.created2014
dc.date.conference2014-10-18
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/194645
dc.description.abstractEnThis study reports on an implementation of cryptographic pairings in a general purpose computer algebra system. For security levels equivalent to the different AES flavours, we exhibit suitable curves in parametric families and show that optimal ate and twisted ate pairings exist and can be efficiently evaluated. We provide a correct description of Miller's algorithm for signed binary expansions such as the NAF and extend a recent variant due to Boxall et al. to addition-subtraction chains. We analyse and compare several algorithms proposed in the literature for the final exponentiation. Finally, we give recommendations on which curve and pairing to choose at each security level.
dc.language.isoen
dc.publisherSpringer
dc.subject.enpairings
dc.subject.enimplementation
dc.subject.enelliptic curve cryptology
dc.title.enImplementing cryptographic pairings at standard security levels
dc.typeCommunication dans un congrès
dc.identifier.doi10.1007/978-3-319-12060-7_3
dc.subject.halMathématiques [math]/Théorie des nombres [math.NT]
dc.subject.halInformatique [cs]/Cryptographie et sécurité [cs.CR]
dc.subject.halInformatique [cs]/Logiciel mathématique [cs.MS]
dc.identifier.arxiv1407.5953
dc.description.sponsorshipEuropeAlgorithmic Number Theory in Computer Science
bordeaux.page28-46
bordeaux.volume8804
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.conference.titleSecurity, Privacy, and Applied Cryptography Engineering
bordeaux.countryIN
bordeaux.conference.cityPune
bordeaux.peerReviewedoui
hal.identifierhal-01034213
hal.version1
hal.invitednon
hal.proceedingsoui
hal.conference.end2014-10-22
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-01034213v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.volume=8804&rft.spage=28-46&rft.epage=28-46&rft.au=ENGE,%20Andreas&MILAN,%20J%C3%A9r%C3%B4me&rft.genre=unknown


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