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A New System of Multivariate Quadratic Equations for Rijndael |
Li Na; Chen Wei-hong |
Dept of Appl. Math.,Info. Eng. Inst.,Info. Eng. Univ., Zhengzhou 450002 China |
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Abstract Because the algebraic expression of Rijndael S box is a composition of the converse function with a q-polynomial over GF(28), in this paper the variables of S box are supposed rationally and the relations between these variables are analyzed, then a new system of multivariate quadratic equations over GF(28) are used to describe completely Rijndael, the cryptanalysis of Rijndael can be written as a problem of solving the system of multivariate quadratic equations. This system is simpler than Murphy and Robshaw’s, and has a lower complexity while applying XSL technique.
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Received: 25 July 2003
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