Paper 2004/361
Superfluous Keys in Multivariate Quadratic Asymmetric Systems
Christopher Wolf and Bart Preneel
Abstract
In this article, we show that public key schemes based on multivariate quadratic equations allow many equivalent, and hence superfluous private keys. We achieve this result by investigating several transformations to identify these keys and show their application to Hidden Field Equations (HFE), C$^*$, and Unbalanced Oil and Vinegar schemes (UOV). In all cases, we are able to reduce the size of the private --- and hence the public --- key space by at least one order of magnitude. We see applications of our technique both in cryptanalysis of these schemes and in memory efficient implementations.
Metadata
- Available format(s)
-
PDF
PS
- Category
- Public-key cryptography
- Publication info
- Published elsewhere. Unknown where it was published
- Keywords
- Multivariate Quadratic EquationsPublic Key SchemesEquivalent Keys
- Contact author(s)
- christopher wolf @ esat kuleuven ac be
- History
- 2005-01-28: revised
- 2004-12-16: received
- See all versions
- Short URL
- https://ia.cr/2004/361
- License
-
CC BY
BibTeX
@misc{cryptoeprint:2004/361,
author = {Christopher Wolf and Bart Preneel},
title = {Superfluous Keys in Multivariate Quadratic Asymmetric Systems},
howpublished = {Cryptology {ePrint} Archive, Paper 2004/361},
year = {2004},
url = {https://eprint.iacr.org/2004/361}
}
