## CryptoDB

### Mahoro Shimura

#### Publications

Year
Venue
Title
2004
EPRINT
This paper shows that many of elliptic curve cryptosystems over quartic extension fields of odd characteristics are reduced to genus two hyperelliptic curve cryptosystems over quadratic extension fields. Moreover, it shows that almost all of the genus two hyperelliptic curve cryptosystems over quadratic extension fields of odd characteristics come under Weil descent attack. This means that many of elliptic curve cryptosystems over quartic extension fields of odd characteristics can be attacked by Weil descent uniformly.

#### Coauthors

Seigo Arita (1)
Kazuto Matsuo (1)
Koh-ichi Nagao (1)