Cryptanalysis of an authentication scheme using truncated polynomials

Authors:
Markus Grassl;Rainer Steinwandt
Affiliations:
Centre for Quantum Technologies (CQT), National University of Singapore, S15 #03-11, 3 Science Drive 2, Singapore 117543, Singapore;Department of Mathematical Sciences, Florida Atlantic University, 777 Glades Road, Boca Raton, FL 33431, USA
Venue:
Information Processing Letters
Year:
2009

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Abstract

An attack on a recently proposed authentication scheme of Shpilrain and Ushakov is presented. The public information allows the derivation of a system of polynomial equations for the secret key bits. Our attack uses simple elimination techniques to distill linear equations. For the proposed parameter choice, the attack often finds secret keys or alternative secret keys within minutes with moderate resources.