Paper 2022/665 Original: eprint.iacr.org/2022/665 ↗

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

Lih-Chung Wang
Po-En Tseng
Yen-Liang Kuan
Chun-Yen Chou
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.

Metadata
Available format(s)
PDF
Category
Public-key cryptography
Publication info
Preprint.
History
2023-08-16: last updated
2022-05-28: published
Short URL
https://ia.cr/2022/665
License
https://creativecommons.org/licenses/by/4.0/

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},
      url = {https://eprint.iacr.org/2022/665}
}
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