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hal.structure.identifierInstitut de Recherche Mathématique de Rennes [IRMAR]
hal.structure.identifierLithe and fast algorithmic number theory [LFANT]
dc.contributor.authorEID, Elie
dc.date.accessioned2024-04-04T02:49:25Z
dc.date.available2024-04-04T02:49:25Z
dc.date.issued2021
dc.date.conference2021-07-18
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/191823
dc.description.abstractEnLet p be an odd prime number and g ≥ 2 be an integer. We present an algorithm for computing explicit rational representations of isogenies between Jacobians of hyperelliptic curves of genus g over an extension K of the field of p-adic numbers Qp. It relies on an efficient resolution, with a logarithmic loss of p-adic precision, of a first order system of differential equations.
dc.description.sponsorshipCentre de Mathématiques Henri Lebesgue : fondements, interactions, applications et Formation - ANR-11-LABX-0020
dc.language.isoen
dc.publisherACM
dc.title.enFast computation of hyperelliptic curve isogenies in odd characteristic
dc.typeCommunication dans un congrès
dc.subject.halMathématiques [math]/Géométrie algébrique [math.AG]
dc.subject.halMathématiques [math]/Théorie des nombres [math.NT]
bordeaux.page131-138
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.conference.titleInternational Symposium on Symbolic and Algebraic Computation — ISSAC 2021
bordeaux.countryRU
bordeaux.conference.cityVirtual event
bordeaux.peerReviewedoui
hal.identifierhal-02948514
hal.version1
hal.invitednon
hal.proceedingsoui
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-02948514v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.date=2021&rft.spage=131-138&rft.epage=131-138&rft.au=EID,%20Elie&rft.genre=unknown


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