Distortion maps for supersingular genus two curves

Steven Galbraith 1 Christophe Ritzenthaler 2 Jordi Pujolas 3 Benjamin Smith 4
4 TANC - Algorithmic number theory for cryptology
LIX - Laboratoire d'informatique de l'École polytechnique [Palaiseau], Inria Saclay - Ile de France, Polytechnique - X, CNRS - Centre National de la Recherche Scientifique : UMR7161
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.
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Article dans une revue
Journal of Mathematical Cryptology, De Gruyter, 2009, 3 (1), pp.1-18. 〈10.1515/JMC.2009.001〉
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https://hal.inria.fr/inria-00537877
Contributeur : Benjamin Smith <>
Soumis le : vendredi 19 novembre 2010 - 15:45:14
Dernière modification le : jeudi 18 janvier 2018 - 02:01:01

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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〉

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