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Paper: Distortion maps for genus two curves

Authors:
Steven D. Galbraith
Jordi Pujol\`as
Christophe Ritzenthaler
Benjamin Smith
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URL: http://eprint.iacr.org/2006/375
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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
}