Paper 2009/483 Original: eprint.iacr.org/2009/483 ↗
On the Security of UOV
Abstract
In this short note, we investigate the security of the Unbalanced Oil and Vinegar Scheme \cite{uov}. To do so, we use a hybrid approach for solving the algebraic systems naturally arising when mounting a signature-forgery attack. The basic idea is to compute Gröbner bases of several modified systems rather than a Gröbner basis of the initial system. It turns out that our approach is efficient in practice. We have obtained a complexity bounded from above by $2^{40.3}$ (or $9$ hours of computation) to forge a signature on a set of parameters proposed by the designers of UOV.
Metadata
- Available format(s)
PDF- Category
- Public-key cryptography
- Publication info
- Preprint.
- History
- 2009-10-05: last updated
- 2009-10-05: published
- Short URL
- https://ia.cr/2009/483
- License
- https://creativecommons.org/licenses/by/4.0/
BibTeX
@misc{cryptoeprint:2009/483,
author = {Jean-Charles Faugère and Ludovic Perret},
title = {On the Security of UOV},
howpublished = {Cryptology {ePrint} Archive, Paper 2009/483},
year = {2009},
url = {https://eprint.iacr.org/2009/483}
}