Cryptology ePrint Archive: Report 2010/377

Key Agreement Protocols Based on Multivariate Algebraic Equations on Quaternion Ring

Masahiro Yagisawa

Abstract: In this paper we propose new key agreement protocols based on multivariate algebraic equations. We choose the multivariate function F(X) of high degree on non-commutative quaternion ring H over finite field Fq. Common keys are generated by using the public-key F(X). Our system is immune from the Gröbner bases attacks because obtaining parameters of F(X) to be secret keys arrives at solving the multivariate algebraic equations that is one of NP complete problems .Our protocols are also thought to be immune from the differential attacks and the rank attacks.

Category / Keywords: public-key cryptography / key agreement protocol, multivariate algebraic equation, Gröbner bases, NP complete problems, quaternion

Date: received 4 Jul 2010, last revised 15 Aug 2010

Contact author: tfktyagi2 at c3-net ne jp

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Version: 20100815:094201 (All versions of this report)

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