Cryptology ePrint Archive: Report 2016/1079

Revisiting the Cubic UOV Signature Scheme

Dung Hoang Duong and Takanori Yasuda and Albrecht Petzoldt and Yacheng Wang and Tsuyoshi Takagi

Abstract: As recently been emphasized by NSA and NIST, there is an increasing need for cryptographic schemes being secure against quantum computer attacks. Especially in the area of digital signature schemes, multivariate cryptography is one of the main candidates for this. At Inscrypt 2015, Nie et al. proposed a new multivariate signature scheme called CUOV, whose public key consists both of quadratic and cubic polynomials. However, the scheme was broken by an attack of Hashimoto. In this paper we take a closer look on the CUOV scheme and its attack and propose two new multivariate signature schemes called CSSv and SVSv2, which are secure against Hashimoto's attack and all other known attacks on multivariate schemes. Especially our schemes are more efficient than CUOV and UOV and highly comparable to Rainbow.

Category / Keywords: Post-Quantum Cryptography, Multivariate Cryptography, Signature Schemes

Original Publication (with minor differences): ICISC 2016

Date: received 17 Nov 2016, last revised 13 Feb 2017

Contact author: duong at imi kyushu-u ac jp

Available format(s): PDF | BibTeX Citation

Note: The previous version was published at ICISC 2016. In this version, we revisit the security of SVSv scheme and find that SVSv scheme is vulnerable to the HighRank attack. We then propose a way to fix it.

Version: 20170214:002836 (All versions of this report)

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