不同周期的P元m序列之间的互相关性质

Properties of cross-correlation between two P-ary m-sequences of different periods

基于Ness和Helleseth等人对二元不同周期的m序列之间的互相关函数的研究,研究了不同周期的p元m序列之间的互相关性质,给出了周期为p2 m-1和pm-1的m序列之间的互相关函数所满足的方程,同时证明了当p等于3时,互相关函数至少是3个值的。

Recently, Ness and Helleseth initiated studies on the cross-correlation between two binary m-sequences of different periods. Based on their results, we analyse the properties of the cross-correlation between two p-ary msequences of different periods, and give the equations for the cross-correlation values to be met. Finally, for p= 3, it is proved that the cross-correlation values takes on at least three different values.