几类新的广义零差分平衡函数

Several new classes of generalized zero-difference balanced functions

零差分平衡(ZDB)函数的概念是丁存生在构造最佳常组合码与最佳完备差分系统中引入的,基于这类函数人们构造出了最佳组成权重码和最优跳频序列.这里将零差分平衡函数的定义推广到一般的广义零差分平衡函数(G-ZDB),并利用p分圆陪集构造了几类新的广义零差分平衡函数,由此也可构造出新的常组合码和差分系统.

Zero-difference balanced(ZDB) functions were introduced by Ding in connection with construction of optimal constant composition codes and optimal and perfect difference systems of sets.Based on such functions,people have been constructed optimal constant weight codes and optimal frequency hopping sequences.Here the zero-difference balanced function was generalized to the generalized zero-difference balanced(G-ZDB) function,and based on properties of p-cyclotomic cosets,several new classes of generalized zero-difference balanced functions were constructed.