Distortion maps for genus two curves

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dc.creatorGalbraith, Steven D.
dc.creatorPujolàs, Jordi
dc.creatorRitzenthaler, Christophe
dc.creatorSmith, Benjamin
dc.date2006-11-15
dc.date.accessioned2026-07-07T07:32:58Z
dc.date.available2026-07-07T07:32:58Z
dc.descriptionDistortion maps are a useful tool for pairing based cryptography. Compared with elliptic curves, the case of hyperelliptic curves of genus g > 1 is more complicated since the full torsion subgroup has rank 2g. In this paper we prove that distortion maps always exist for supersingular curves of genus g>1 and we construct distortion maps in genus 2 (for embedding degrees 4,5,6 and 12).
dc.description16 pages
dc.identifierhttps://arxiv.org/abs/math/0611471
dc.identifierhttp://arxiv.org/abs/math/0611471
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/119299
dc.subjectNumber Theory
dc.subject11G20
dc.titleDistortion maps for genus two curves
dc.typetext

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