International Association for Cryptologic Research

International Association
for Cryptologic Research

CryptoDB

Jordi Pujol\`as

Publications

Year
Venue
Title
2006
EPRINT
Distortion maps for genus two curves
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 $2$.