Abstract
As the only nonlinear component, S-Box plays an important role in cryptography. To overcome the problems in some 1D chaotic maps such as poor randomness and lacking ergodicity, we constructed a 2D exponential quadratic chaotic map (2D-EQCM), and analyzed its dynamic behavior through phase diagram, Lyapunov exponent, Kolmogorov entropy, correlation dimension and randomness testing. The results demonstrated that the 2D-EQCM with ergodicity and better randomness can be served as pseudo-random number generator (PRNG). Furthermore, to generate a large number of S-Boxes with higher nonlinearity, we designed a keyed strong S-Box construction algorithm using the 2D-EQCM and algebraic operation based on seed S-Boxes. Experimental results verified the effectiveness of the proposed keyed strong S-Box construction algorithm.
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