Cryptology ePrint Archive: Report 2012/244

Cryptography from tensor problems

Leonard J. Schulman

Abstract: This manuscript describes a proposal for a new trap-door one-way function of the multivariate-quadratic type. It was first posted to the IACR preprint server in May 2012. Subsequently, Enrico Thomae and Christopher Wolf were able to to determine that a small-minors MinRank attack works against this scheme. I would like to thank them for their close study of the proposal. The manuscript follows as originally posted, with the addition of a few references and a brief description of the successful attack (end of Section 4.1).

Category / Keywords: public-key cryptography / Multivariate quadratic cryptosystem, MinRank, tensor rank, post-quantum cryptography.

Date: received 1 May 2012, last revised 23 Aug 2012

Contact author: schulman at caltech edu

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Version: 20120823:180105 (All versions of this report)

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