Block-Anti-Circulant Unbalanced Oil and Vinegar

Alan Szepieniec; Bart Preneel

Paper 2019/046

Block-Anti-Circulant Unbalanced Oil and Vinegar

Alan Szepieniec and Bart Preneel

Abstract

We introduce a new technique for compressing the public keys of the UOV signature scheme that makes use of block-anti-circulant matrices. These matrices admit a compact representation as for every block, the remaining elements can be inferred from the first row. This space saving translates to the public key, which as a result of this technique can be shrunk by a small integer factor. We propose parameters sets that take into account several important attacks.

Metadata

Available format(s): PDF
Category: Public-key cryptography
Publication info: Published elsewhere. SAC 2019
Keywords: multivariate quadratic post-quantum unbalanced oil and vinegar
Contact author(s): alan @ nervos org
History: 2019-06-20: last of 2 revisions; 2019-01-25: received; See all versions
Short URL: https://ia.cr/2019/046
License: CC BY

BibTeX

@misc{cryptoeprint:2019/046,
      author = {Alan Szepieniec and Bart Preneel},
      title = {Block-Anti-Circulant Unbalanced Oil and Vinegar},
      howpublished = {Cryptology ePrint Archive, Paper 2019/046},
      year = {2019},
      note = {\url{https://eprint.iacr.org/2019/046}},
      url = {https://eprint.iacr.org/2019/046}
}