Cryptography from tensor problems

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)