关于一类Bent函数的研究

Research on a Bent Functions

在Bent函数和半Bent函数的理论基础上证明了四分Bent函数的概念,并给出了半Bent函数的一种构造办法。求出了F62上全部3次齐次Bent函数。

This paper proves the concept of quarter Bent functions based on the Bent functions and semi-Bent functions, and gives a method to construct semi-Bent functions. A method to find all 3 homogeneous Bent functions of degree 2 in 6 Boolean variables is derived.