LIX - Laboratoire d'informatique de l'École polytechnique [Palaiseau], Inria Saclay - Ile de France, X - École polytechnique, CNRS - Centre National de la Recherche Scientifique : UMR7161
1Department of Mathematics [Auckland] (Department of Mathematics University of Auckland Private Bag 92019 Auckland Mail Centre Auckland 1142 NEW ZEALAND - Nouvelle-Zélande)
Abstract : Distortion 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 give several examples in genus 2.
Type de document :
Article dans une revue
Journal of Mathematical Cryptology, De Gruyter, 2009, 3 (1), pp.1-18. 〈10.1515/JMC.2009.001〉
https://hal.inria.fr/inria-00537877
Contributeur : Benjamin Smith
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Soumis le : vendredi 19 novembre 2010 - 15:45:14
Dernière modification le : jeudi 10 mai 2018 - 02:06:09
Steven Galbraith, Christophe Ritzenthaler, Jordi Pujolas, Benjamin Smith. Distortion maps for supersingular genus two curves. Journal of Mathematical Cryptology, De Gruyter, 2009, 3 (1), pp.1-18. 〈10.1515/JMC.2009.001〉. 〈inria-00537877〉
