Distorting the volcano

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dc.contributor.authorFouquet, Mireille
dc.contributor.authorMiret, Josep M. (Josep Maria)
dc.contributor.authorValera Martín, Javier
dc.date.accessioned2018-02-16T12:22:05Z
dc.date.available2019-09-28T22:21:33Z
dc.date.issued2018
dc.description.abstractVolcanoes of ℓ–isogenies of elliptic curves are a special case of graphs with a cycle called crater. In this paper, given an elliptic curve E of a volcano of ℓ–isogenies, we present a condition over an endomorphism ϕ of E in order to determine which ℓ–isogenies of E are non-descending. The endomorphism ϕ is defined as the crater cycle of an m–volcano where E is located, with m 6= ℓ. The condition is feasible when ϕ is a distortion map for a subgroup of order ℓ of E. We also provide some relationships among the crater sizes of volcanoes of m–isogenies whose elliptic curves belong to a volcano of ℓ–isogenies.ca_ES
dc.description.sponsorshipResearch of the authors was partially supported by grants MTM2013-46949-P (Spanish MINECO) and 2014 SGR1666 (Generalitat de Catalunya).ca_ES
dc.identifier.doihttps://doi.org/10.1016/j.ffa.2017.09.006
dc.identifier.idgrec026172
dc.identifier.issn1071-5797
dc.identifier.urihttp://hdl.handle.net/10459.1/62669
dc.language.isoengca_ES
dc.publisherElsevierca_ES
dc.relationinfo:eu-repo/grantAgreement/MINECO//MTM2013-46949-P/ES/CRIPTOGRAFIA CON CURVAS ALGEBRAICAS PARA LA E-SOCIEDAD/ca_ES
dc.relation.isformatofVersió postprint del document publicat a https://doi.org/10.1016/j.ffa.2017.09.006ca_ES
dc.relation.ispartofFinite Fields and Their Applications, 2018, vol. 49, núm. C, p. 108-125ca_ES
dc.rightscc-by-nc-nd (c) Elsevier, 2018ca_ES
dc.rights.accessRightsinfo:eu-repo/semantics/openAccessca_ES
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/*
dc.subjectFinite fieldca_ES
dc.subjectElliptic curveca_ES
dc.subjectIsogenyca_ES
dc.subjectVolcanoca_ES
dc.subjectDistortion mapca_ES
dc.titleDistorting the volcanoca_ES
dc.typearticleca_ES
dc.type.versionacceptedVersionca_ES
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