m值逻辑函数的谱分解式及广义Bent函数的递归构造

A Spectrum Decomposition Formula of m -ary Logical Functions and Recursive Constructions of Generalize Bent Funtctions

本文用概率方法得到ｍ值逻辑函数Ｃｈｒｅｓｔｅｎｓｏｎ循环谱的分解式，据此考察了ｍ值广义Ｂｅｎｔ函数一些新的性质，给出了递归构造ｍ（ｍ≠２ｍｏｄ４）值广义Ｂｅｎｔ函数的一般方法．

With probability method,a decomposition formula of Chrestenson spectrum of m ary logical functions is given in this paper.On the basis of this,some new properties of generalized bent functions are examined and a general way to recursively construct m ary generalized bent functions is presented.