Paper 2022/665

NOVA, a Noncommutative-ring Based Unbalanced Oil and Vinegar Signature Scheme with Key-randomness Alignment

Lih-Chung Wang, National Donghwa University
Po-En Tseng, National Donghwa University
Yen-Liang Kuan, National Donghwa University
Chun-Yen Chou, National Donghwa University
Abstract

In this paper, we propose a noncommutative-ring based unbalanced oil and vinegar signature scheme with key-randomness alignment: NOVA (Noncommutative Oil and Vinegar with Alignment). Instead of fields or even commutative rings, we show that noncommutative rings can be used for algebraic cryptosystems. At the same or better level of security requirement, NOVA has a much smaller public key than UOV (Unbalanced Oil and Vinegar), which makes NOVA practical in most situations. We use Magma to actually implement and give a detailed security analysis against known major attacks.

Note: Fix a typo

Metadata
Available format(s)
PDF
Category
Public-key cryptography
Publication info
Preprint.
Keywords
multivariate cryptosystemsignature schemenoncommutative ring
Contact author(s)
lcwang @ gms ndhu edu tw
briantseng0320 @ gmail com
ylkuan @ gms ndhu edu tw
choucy @ gms ndhu edu tw
History
2023-08-16: last of 4 revisions
2022-05-28: received
See all versions
Short URL
https://ia.cr/2022/665
License
Creative Commons Attribution
CC BY

BibTeX

@misc{cryptoeprint:2022/665,
      author = {Lih-Chung Wang and Po-En Tseng and Yen-Liang Kuan and Chun-Yen Chou},
      title = {NOVA, a Noncommutative-ring Based Unbalanced Oil and Vinegar Signature Scheme with Key-randomness Alignment},
      howpublished = {Cryptology ePrint Archive, Paper 2022/665},
      year = {2022},
      note = {\url{https://eprint.iacr.org/2022/665}},
      url = {https://eprint.iacr.org/2022/665}
}
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