Revisiting the Security of Salted UOV Signature

Chatterjee, S and Das, MPL and Pandit, T (2022) Revisiting the Security of Salted UOV Signature. In: 23rd International Conference on Cryptology, INDOCRYPT 2022, 11 December - 14 December 2022, Kolkata, pp. 697-719.

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Abstract

Due to the recent attack of Beullens on Rainbow, the crypto community looks back again at the unbalanced oil-and-vinegar (UOV) signature. The original UOV does not have any formal security reduction. It was Sakumoto et al. who added a random salt to the original UOV signature to give a reduction under the UOV-inversion (UOVI) problem in the classical random oracle model (CROM). In this paper, we revisit the security of salted UOV signature. We start by identifying some issues related to programming the random oracle and the distribution of the salt. Then provide a security reduction of the salted UOV signature in the CROM that clearly addresses these issues. One crucial requirement of our reduction is that the field size needs to be asymptotically superpolynomial in the security parameter. We also give a security reduction of the salted UOV under the UOVI problem in the quantum random oracle model. This work is hoped to aid further concrete security analysis and thereby guide parameter choice of UOV-based schemes in the context of future standardization of post-quantum signature. © 2022, The Author(s), under exclusive license to Springer Nature Switzerland AG.

Item Type:	Conference Paper
Publication:	Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Publisher:	Springer Science and Business Media Deutschland GmbH
Additional Information:	The copyright for this article belongs to Springer Science and Business Media Deutschland GmbH.
Keywords:	reductions; Formal security; Inversion problems; Multivariate cryptography; Oil and Vinegar; Post-quantum securities; QROM; Random Oracle model; Security reduction; Unbalanced oil-and-vinegar, Electronic document identification systems
Department/Centre:	Division of Electrical Sciences > Computer Science & Automation
Date Deposited:	25 Feb 2023 08:30
Last Modified:	28 Feb 2023 07:25
URI:	https://eprints.iisc.ac.in/id/eprint/80704

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