Galois环上极大周期序列的平移等价

The Shift Equivalent of Maximal Period Sequences Over a Galois Ring

本文给出了Galois环上两个具有相同特征多项式的极大周期序列是否平移等价的一个判定方法,以及在两个序列平移等价的情况下,利用模p方幂提升技术,给出了一个计算它们的平移距离的方法.

In this paper, we study the condition of shift equivalence of two maximal periodic sequences which have the same characteristic polynomial over a Galois rings, and give an algorithm to decide the shift distance between these two sequences when they are shift equivalent.