一类k阶拟Bent函数的构造

Constructions of a class of k-quasi Bent functions

通过映射构造了一类布尔函数,利用布尔函数循环Walsh谱的方法给出了该类布尔函数是k阶拟Bent函数的充分必要条件,并利用集合性质给出了满足该条件的方法.另外,给出了一类k阶拟Bent函数的递归构造.

A class of Boolean functions are constructed by mapping, a necessary and sufficient condition is for them to be k-quasi Bent functions using cyclic Walsh spectrum of Boolean functions, and some methods satisfying the condition by using properties of the coset are given. Besides, recursive constructions of a class of k-quasi Bent functions are given.