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dc.contributor.authorFouquet, Mireille
dc.contributor.authorMiret, Josep M. (Josep Maria)
dc.contributor.authorValera Martín, Javier
dc.date.accessioned2018-02-16T11:20:45Z
dc.date.available2018-02-16T11:20:45Z
dc.date.issued2015
dc.identifier.issn0302-9743
dc.identifier.urihttp://hdl.handle.net/10459.1/62667
dc.descriptionInternational Conference on Cryptology and Information Security in Latin America LATINCRYPT 2014: Progress in Cryptology - LATINCRYPT 2014 pp 162-175ca_ES
dc.description.abstractGiven an ordinary elliptic curve over a finite field located in the floor of its volcano of ℓ-isogenies, we present an efficient procedure to take an ascending path from the floor to the level of stability and back to the floor. As an application for regular volcanoes, we give an algorithm to compute all the vertices of their craters. In order to do this, we make use of the structure and generators of the ℓ-Sylow subgroups of the elliptic curves in the volcanoes.ca_ES
dc.description.sponsorshipThe authors thank the reviewers for their valuable comments and specially Sorina Ionica for her suggestions which have improved this article. Research of the second and third authors was supported in part by grants MTM2013-46949-P (Spanish MINECO) and 2014 SGR1666 (Generalitat de Catalunya).ca_ES
dc.language.isoengca_ES
dc.publisherSpringer International Publishing Switzerlandca_ES
dc.relationMINECO/PN2013-2016/MTM2013-46949-Pca_ES
dc.relation.isformatofVersió postprint del document publicat a https://doi.org/10.1007/978-3-319-16295-9_9ca_ES
dc.relation.ispartofLecture Notes in Computer Science, 2015, vol. 8895ca_ES
dc.rights(c) Springer International Publishing Switzerland, 2015ca_ES
dc.subjectElliptic curvesca_ES
dc.subjectIsogeny volcanoesca_ES
dc.subjectSylow subgroupsca_ES
dc.subjectFinite fieldsca_ES
dc.titleIsogeny volcanoes of elliptic curves and sylow subgroupsca_ES
dc.typearticleca_ES
dc.identifier.idgrec022552
dc.type.versionacceptedVersionca_ES
dc.rights.accessRightsinfo:eu-repo/semantics/openAccessca_ES
dc.identifier.doihttps://doi.org/10.1007/978-3-319-16295-9_9


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