基于分圆类方法差集偶和几乎差集偶的构造

Construction of Difference Set Pairs and Almost Difference Set Pairs Based on Cyclotomic Class Method

在通信系统研究中,性能良好的信号序列具有较强的应用价值。利用差集偶和几乎差集偶理论,设计理想序列是一种有效的数学方式。本文利用有限域Fq中8阶经典分圆类的方法,构造出新的差集偶和几乎差集偶。

In the research of communication system, signal sequences with good performances have strong application value. Using the theory of difference set pair and almost difference set pair to design the ideal sequence is an effective mathematical method. In this paper, we construct new difference set pairs and almost difference set pairs by using the method of classical cyclotomic class of order eight in finite fields.