Paper 2006/248 Original: eprint.iacr.org/2006/248 ↗
Disguising tori and elliptic curves
Abstract
Frey proposed the idea of `disguising' an elliptic curve. This is a method to obtain a `black box' representation of a group. We adapt this notion to finite fields and tori and study the question of whether such systems are secure. Our main result is an algebraic attack which shows that it is not secure to disguise the torus $T_2$. We also show that some methods for disguising an elliptic curve are not secure. Finally, we present a method to disguise an elliptic curve which seems to resist our algebraic attack.
Metadata
- Available format(s)
PDF- Category
- Public-key cryptography
- Publication info
- Preprint.
- History
- 2006-07-21: last updated
- 2006-07-21: published
- Short URL
- https://ia.cr/2006/248
- License
- https://creativecommons.org/licenses/by/4.0/
BibTeX
@misc{cryptoeprint:2006/248,
author = {Steven D. Galbraith},
title = {Disguising tori and elliptic curves},
howpublished = {Cryptology {ePrint} Archive, Paper 2006/248},
year = {2006},
url = {https://eprint.iacr.org/2006/248}
}