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Title:
Distortion maps for genus two curves
Authors: Steven D. Galbraith, Jordi Pujolàs, Christophe Ritzenthaler, Benjamin Smith
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.
ePrint: https://eprint.iacr.org/2006/375
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