## CryptoDB

### Jordi Pujol\`as

#### Publications

Year
Venue
Title
2006
EPRINT
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 $2$.

#### Coauthors

Steven D. Galbraith (1)
Christophe Ritzenthaler (1)
Benjamin Smith (1)