The Performance Analysis of the S-Box Based on Matrix Power Multiplication

Xiao Zhuan Yuan, Fan Zhang, Hui Shao, Chuan Da Qi · Applied Mechanics and Materials · 2014

In this paper, we investigate the S-box structure of matrix power functions; discuss the equations nature of this S-box in the low-dimensional. We give the specific form of S-box in GF(4). we discuss the equation describing the ciphers input/output variables and the round key of S-box and the number of equations and find out We find the max number and the min number of the S-box equation. We also find the number of the equations of the matrix power S-box describing the ciphers input/output variables and the round key and the distributing of the order of the equations.

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