二元m序列的五值互相关函数

本文证明了当n=2m（m≥3，m是奇数）、采样因子d=2^m＋3时，二元m序列与其采样序列的互相关函数Cd（t）必取集合{-1，3·2^m-1，2^m＋1-1，2^m-1，-2^m-1}中的每一个值，并给出了它们各自的分布。

The Five-Valued Crosscorrelation Functions for Binary m-Sequences

In this paper we prove the crosscorrelation function Ca （t） of binary m-sequences and their d-decimation sequence must take every value of the set （- 1,3 · 2^m- 1,-2^m＋1 - 1,2^m - 1, - 2^m- 1 } , when n= 2m and odd m ≥ 3 with the decimation factor d= 2^m ＋ 3, and present the respective distrib  utions of these crosscorrelation values.