Cryptology ePrint Archive: Report 2017/1149

Improved Cryptanalysis of HFEv- via Projection

Jintai Ding and Ray Perlner and Albrecht Petzoldt and Daniel Smith-Tone

Abstract: The HFEv- signature scheme is one of the most studied multivariate schemes and one of the major candidates for the upcoming standardization of post-quantum digital signature schemes. In this paper, we propose three new attack strategies against HFEv-, each of them using the idea of projection. Especially our third attack is very effective and is, for some parameter sets, the most efficient known attack against HFEv-. Furthermore, our attack requires much less memory than direct and rank attacks. By our work, we therefore give new insights in the security of the HFEv- signature scheme and restrictions for the parameter choice of a possible future standardized HFEv- instance.

Category / Keywords: public-key cryptography / Multivariate Cryptography, HFEv-, MinRank, Groebner Basis, Projection

Date: received 27 Nov 2017

Contact author: albrecht petzoldt at googlemail com

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Version: 20171127:154044 (All versions of this report)

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