Author:
Li Zhen,Fan Cuiling,Su Wei,Qi Yanfeng
Abstract
<p style='text-indent:20px;'>Aperodic (or called Golay)/Periodic complementary pairs (GCPs/ PCPs) are pairs of sequences whose aperiodic/periodic autocorrelation sums are zero everywhere, except at the zero shift. In this paper, we introduce GCPs/PCPs over the quaternion group <inline-formula><tex-math id="M1">\begin{document}$ Q_8 $\end{document}</tex-math></inline-formula>, which is a generalization of quaternary GCPs/PCPs. Some basic properties of autocorrelations of <inline-formula><tex-math id="M2">\begin{document}$ Q_8 $\end{document}</tex-math></inline-formula>-sequences are also obtained. We present three types of constructions for GCPs and PCPs over <inline-formula><tex-math id="M3">\begin{document}$ Q_8 $\end{document}</tex-math></inline-formula>. The main ideas of these constructions are to consider pairs of a <inline-formula><tex-math id="M4">\begin{document}$ Q_8 $\end{document}</tex-math></inline-formula>-sequence and its reverse, pairs of interleaving of sequence, or pairs of Kronecker product of sequences. By choosing suitable sequences in these constructions, we obtain new parameters for GCPs and PCPs, which have not been reported before.</p>
Publisher
American Institute of Mathematical Sciences (AIMS)
Subject
Applied Mathematics,Discrete Mathematics and Combinatorics,Computer Networks and Communications,Algebra and Number Theory,Applied Mathematics,Discrete Mathematics and Combinatorics,Computer Networks and Communications,Algebra and Number Theory
Cited by
1 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献
1. New Constructions of Quadriphase Periodic Almost-Complementary Pairs;IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences;2022-08-01