关于本原M序列的一些自相关函数取值

Some Self correlation Values on Primitive M Sequences

本文讨论了由ｍ序列叠加小项ｘ２…ｘｎ构成的Ｍ序列的自相关性能，获得了ｃ（ｎ＋１）＝－４或０或４，ｃ（τ１）＝－４，ｃ（τ２－１）＝０或４（τ１和τ２意义见定理１）的新结果，同时并给出了ｃ（ｎ＋ｋ）（ｋ≥２）的可能取值范围。

In this paper, autocorrelation functions of M sequences constructed by adding term x 2…x n in m sequences,are discussed,Some new results are obtained as c(n+1)=-4 or 0 or 4,c(τ 1)=-4 and τ(τ 2)=0 or 4 (See theorem 1 for τ 1 and τ 2 meanings); meanwhile,potential values for c(n+k) (k≥2)are presented as well. The paper greatly improves those results obtained in many years ago.