The use of chaotic maps to construct dynamic S-Box has been increasingly studied. The aim of this paper is to propose a new design of dynamic chaotic S-Box that enhances the security criteria of the block ciphers. In fact, our S-Box is based on the combination of two chaotic maps: one and three dimensional piecewise linear maps. The randomness of these maps was verified by using the NIST test package. However, the conversion method seems to be crucial to keep the randomness and the uniformity of the binary sequences. The security analysis shows that the dynamic S-Boxes based on two chaotic maps have the lowest linear approximation probability (Lp= 0.0625), the closest value to 0.5 of the strict avalanche criteria (SAC=0.4998) and also an equiprobable input/output distribution (DF=10/256).
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机译：越来越多地研究了使用混沌图来构造动态S-Box。本文的目的是提出一种动态混沌S-Box的新设计，以提高分组密码的安全性标准。实际上，我们的S-Box基于两个混沌图的组合：一维和三维分段线性图。这些地图的随机性通过使用NIST测试包进行了验证。但是，转换方法对于保持二进制序列的随机性和均匀性似乎至关重要。安全分析表明，基于两个混沌图的动态S-Boxs的线性近似概率最低（L p = 0.0625），最接近严格雪崩准则的0.5（SAC = 0.4998）以及相等的输入/输出分布（DF = 10/256）。
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