Halving in some genus 2 curves over binary fields

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dc.contributor.authorGarra Oronich, Ricard
dc.contributor.authorMiret, Josep M. (Josep Maria)
dc.contributor.authorPujolàs Boix, Jordi
dc.date.accessioned2017-04-04T16:18:11Z
dc.date.embargoEndDate2025-01-01
dc.date.issued2016-06
dc.date.updated2017-04-04T16:18:11Z
dc.description.abstractWe give a method to compute the halving of a divisor in the Jacobian variety of a genus 2 curve in characteristic 2. We present explicit halving formulae for each possible divisor class for some curves (those with h (x)= x), detailing all the process to obtain them. We improve the fastest known formulae for some divisor classes in the studied type of curves.
dc.description.sponsorshipLa investigación de los autores fue financiada parcialmente por los proyectos MTM2013-46949-P y MTM2015-69138-REDT (Ministerio de Economía y Competitividad de España) y 2014SGR-1666 (Generalitat de Catalunya)
dc.format.mimetypeapplication/pdf
dc.identifier.idgrec025071
dc.identifier.issn1548-0992
dc.identifier.urihttp://hdl.handle.net/10459.1/59440
dc.language.isoeng
dc.publisherInstitute of Electrical and Electronics Engineers (IEEE)
dc.relationMINECO/PN2013-2016/MTM2013-46949-P
dc.relationMINECO/PN2013-2016/MTM2015-69138-REDT
dc.relation.isformatofReproducció del document publicat a: http://www.ewh.ieee.org/reg/9/etrans/esp/publicaciones.php
dc.relation.ispartofIEEE Latin America Transactions, 2016, vol. 14, núm. 6, p. 2885-2889
dc.rights(c) Institute of Electrical and Electronics Engineers (IEEE), 2016
dc.rights.accessRightsinfo:eu-repo/semantics/restrictedAccess
dc.subjectCryptography
dc.subjectHalving
dc.subjectGenus 2 curves
dc.subjectBinary fields
dc.subject.classificationCriptografia
dc.subject.otherCryptography
dc.titleHalving in some genus 2 curves over binary fields
dc.title.alternativeHalving en algunas curvas de género 2 sobre cuerpos binarios
dc.typeinfo:eu-repo/semantics/article
dc.type.versionpublishedVersion
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