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Distortion maps for genus two curves
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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 $2$. |
BibTeX
@misc{eprint-2006-21866, title={Distortion maps for genus two curves}, booktitle={IACR Eprint archive}, keywords={public-key cryptography / hyperelliptic curves, pairings}, url={http://eprint.iacr.org/2006/375}, note={ Steven.Galbraith@rhul.ac.uk 13457 received 29 Oct 2006, last revised 5 Nov 2006}, author={Steven D. Galbraith and Jordi Pujol\`as and Christophe Ritzenthaler and Benjamin Smith}, year=2006 }