布尔函数相关免疫性与平衡性关系的研究

Study of relationships between correlation-immunity and balanceness based on Boolean functions

以布尔函数的e导数及已有的导数一起作工具,深入到布尔函数内部不同结构中,分析布尔函数的密码学性质的方法,这在密码学领域是一个新的研究课题。利用这种方法,重点讨论了对密码系统的安全性有重要影响的布尔函数的平衡性和相关免疫性的关系,得出一些以往从布尔函数整体结构上分析布尔函数性质难以得出的有用结论,为平衡H布尔函数的相关免疫性增添了新的内容并找到一种新的研究方法,进而提高了密码系统的抗攻击性。

E-derivative and derivative were introduced to deeply study internal structure of Boolean function,and analyzed the cryptographic properties of Boolean function,which was a new subject in cryptology.The relationships between correlation-immunity and balanceness was analyzed,and obtain some important results which could not be obtained by analyzing the exterior structure of Boolean function at all.Beyond that,for researching on the correlation immunity of balanced H-Boolean function which play a important role in cryptology,here also give a new research methods to improve the anti-attack ability of cryptosystem.