动态S盒的密码性质

Cryptographic Property of Dynamic S-box

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 Guo-qiang and JIN Chen-hui gives the definition of differential probability for dynamic S- box, analyze the charicteristics of impossible difference and the upper-bound and accessibility of maximum differential probability for dynamic S-box. This is the first try on the research of dynamic S-box＇ s defini- tion and properties. In light of this, the definitions of dynamic linear probability, dynamic nonlinearity, dy- namic algebraic degree and dynamic algebraic immunity are proposed, and the bounds of these cryptograph- ic criterions and the accessibility of these bounds analyzed. Simulation experiments verify the rationality and validity of the definitions. Meanwhile, the rule of dynamic property with the change of dynamic S- box＇s size is also given.