Cryptology ePrint Archive: Report 2016/788

On the security of Cubic UOV and its variants

Yasufumi Hashimoto

Abstract: The unbalanced oil and vinegar signature scheme (UOV) is one of signature schemes whose public key is a set of multivariate quadratic forms. Recently, a new variant of UOV called Cubic UOV was proposed at Inscrypt 2015. It was claimed that the cubic UOV was more efficient than the original UOV and its security was enough. However, an equivalent secret key of the cubic UOV can be recovered easily. In this note, we describe how to recover it. After we posted the first version of this note, Duong et al. proposed two variants of Cubic UOV at ICISC 2016. We also explain their weakness in the second version.

Category / Keywords: public-key cryptography / multivariate public-key cryptosystems, UOV, Cubic UOV

Date: received 17 Aug 2016, last revised 22 May 2017

Contact author: hashimoto at math u-ryukyu ac jp

Available format(s): PDF | BibTeX Citation

Note: We add comments on several variants of Cubic UOV proposed after the first version was posted.

Version: 20170523:033428 (All versions of this report)

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