Paper 2004/240 Original: eprint.iacr.org/2004/240 ↗
A Weil Descent Attack against Elliptic Curve Cryptosystems over Quartic Extension Fields
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.
Metadata
- Available format(s)
PDF- Category
- Public-key cryptography
- Publication info
- Preprint.
- History
- 2004-09-16: last updated
- 2004-09-16: published
- Short URL
- https://ia.cr/2004/240
- License
- https://creativecommons.org/licenses/by/4.0/
BibTeX
@misc{cryptoeprint:2004/240,
author = {Seigo Arita and Kazuto Matsuo and Koh-ichi Nagao and Mahoro Shimura},
title = {A Weil Descent Attack against Elliptic Curve Cryptosystems over Quartic Extension Fields},
howpublished = {Cryptology {ePrint} Archive, Paper 2004/240},
year = {2004},
url = {https://eprint.iacr.org/2004/240}
}