Fast computation of hyperelliptic curve isogenies in odd characteristic
hal.structure.identifier | Institut de Recherche Mathématique de Rennes [IRMAR] | |
hal.structure.identifier | Lithe and fast algorithmic number theory [LFANT] | |
dc.contributor.author | EID, Elie | |
dc.date.accessioned | 2024-04-04T02:49:25Z | |
dc.date.available | 2024-04-04T02:49:25Z | |
dc.date.issued | 2021 | |
dc.date.conference | 2021-07-18 | |
dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/191823 | |
dc.description.abstractEn | Let 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.sponsorship | Centre de Mathématiques Henri Lebesgue : fondements, interactions, applications et Formation - ANR-11-LABX-0020 | |
dc.language.iso | en | |
dc.publisher | ACM | |
dc.title.en | Fast computation of hyperelliptic curve isogenies in odd characteristic | |
dc.type | Communication dans un congrès | |
dc.subject.hal | Mathématiques [math]/Géométrie algébrique [math.AG] | |
dc.subject.hal | Mathématiques [math]/Théorie des nombres [math.NT] | |
bordeaux.page | 131-138 | |
bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
bordeaux.institution | Université de Bordeaux | |
bordeaux.institution | Bordeaux INP | |
bordeaux.institution | CNRS | |
bordeaux.conference.title | International Symposium on Symbolic and Algebraic Computation — ISSAC 2021 | |
bordeaux.country | RU | |
bordeaux.conference.city | Virtual event | |
bordeaux.peerReviewed | oui | |
hal.identifier | hal-02948514 | |
hal.version | 1 | |
hal.invited | non | |
hal.proceedings | oui | |
hal.popular | non | |
hal.audience | Internationale | |
hal.origin.link | https://hal.archives-ouvertes.fr//hal-02948514v1 | |
bordeaux.COinS | ctx_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 |
Files in this item
Files | Size | Format | View |
---|---|---|---|
There are no files associated with this item. |