关于Bent函数的构造与分类

Construction and Qassification on Bent Functions

本文提出了一种构造Bent函数的新方法,依此可定出大量在实用中很重要的Bent函数;本文还对2次Bent函数进行仿射分类,证明了2次Bent函数仅有2类,并定出了其每一类中的代表函数;最后,本文研究了Bent函数的一阶广义相关免疫性。

This paper presents a new method to construct Bent functions. By means of this method, a lot of Bent functions which are very important in practice can be constructed. Then in this paper, the quadratic Bent functions are classified according to the affine classification. We prove drat there are only two classes of quadratic Bent functions and give out the represait element of each class. At last , this paper presents the extended Correlation-Immune of Bent functions.