On the Security of UOV

Jean-Charles Faugère; Ludovic Perret

Paper 2009/483

On the Security of UOV

Jean-Charles Faugère and Ludovic Perret

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: Published elsewhere. Unknown where it was published
Keywords: public-key cryptography Cryptanalysis Multivariate Cryptography Gröbner basis F5
Contact author(s): ludovic perret @ lip6 fr
History: 2009-10-05: received
Short URL: https://ia.cr/2009/483
License: CC BY

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}
}