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刘国强和金晨辉给出了动态S盒差分概率的定义,分析了其不可能差分的特性、最大差分概率的上界及可达性,这是首个从动态S盒的概念和性质方面的研究。沿着这个方向,本文给出动态线性概率、动态非线性度、动态代数次数、动态代数免疫阶等定义,分析了这些动态性能指标的界及可达性,并用仿真模拟的方法验证了定义的合理性和定理的正确性,同时还分析了动态S盒的性能随规模变化的规律。
Liu Guoqiang and Jin Chenhui give the definition of dynamic S-box differential probability, analyze the characteristics of impossible differential and the upper bound and reachability of maximum differential probability. This is the first study on the concept and nature of dynamic S-box. Along this direction, the definition of dynamic linear probability, dynamic nonlinearity, number of dynamic algebra, dynamic algebraic immune order and so on are given in this paper. The boundary and reachability of these dynamic performance indices are analyzed and the results of simulation and simulation are verified. Rationality and the correctness of the theorem. At the same time, the regularity of dynamic S-box performance with the change of scale is also analyzed.