基于两类重要函数的非线性组合函数

Nonlinear combining functions based on two classes of important functions

Bent函数和不重复齐次k次函数是两类重要的布尔函数 ,研究了这两类函数的密码特性 ,介绍了Bent函数的构造 ;并以Bent函数和不重复齐次 k次函数为基础 。

Bent functions and non repeated homogeneous functions with k degree are two classes of important functions. Their cryptographic properties are studied and constructions of Bent functions are introduced in this paper. Finally, a family of functions which have higher non linearity and balancedness & correlation immunity is given.