International Association for Cryptologic Research

International Association
for Cryptologic Research

CryptoDB

Kazuto Matsuo

Affiliation: Kanagawa Univ.

Publications

Year
Venue
Title
2004
EPRINT
A Weil Descent Attack against Elliptic Curve Cryptosystems over Quartic Extension Fields
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.
2000
ASIACRYPT