Welcome to the resource topic for 2004/240
Title:
A Weil Descent Attack against Elliptic Curve Cryptosystems over Quartic Extension Fields
Authors: Seigo Arita, Kazuto Matsuo, Koh-ichi Nagao, Mahoro Shimura
Abstract: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.
ePrint: https://eprint.iacr.org/2004/240
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