Abstract
In this paper, we present an efficient attack on the multivariate Quadratic Quasigroups (MQQ) public key cryptosystem. Our cryptanalysis breaks the MQQ cryptosystem by solving a system of multivariate quadratic polynomial equations using both the MutantXL algorithm and the F4 algorithm. We present the experimental results that show that MQQ systems is broken up to size n equal to 300. Based on these results we show also that MutantXL solves MQQ systems with much less memory than the F4 algorithm implemented in Magma.
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Mohamed, M.S.E., Ding, J., Buchmann, J., Werner, F. (2009). Algebraic Attack on the MQQ Public Key Cryptosystem. In: Garay, J.A., Miyaji, A., Otsuka, A. (eds) Cryptology and Network Security. CANS 2009. Lecture Notes in Computer Science, vol 5888. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-10433-6_26
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DOI: https://doi.org/10.1007/978-3-642-10433-6_26
Publisher Name: Springer, Berlin, Heidelberg
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