Open AccessAlmost balanced and uncorrelated quaternary sequence pairs of even length
Author(s) -
Yu Ouyang,
Sen Wang,
Xianhong Xie
Publication year - 2022
Publication title -
zhongguo kexue jishu daxue xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.13
H-Index - 10
ISSN - 0253-2778
DOI - 10.52396/justc-2021-0234
Subject(s) - mathematics , combinatorics , uncorrelated , sequence (biology) , partition (number theory) , arithmetic , discrete mathematics , biology , statistics , genetics
Given a partition of \begin{document}$ \mathbb{Z}_N^* $\end{document}into four subsets, we present a generic construction of uncorrelated quaternary sequence pairs of length \begin{document}$ 2N $\end{document}using the interleaved technique based on this partition. By choosing partitions arising from cyclotomic classes of order 4 and 8 over \begin{document}$ \mathbb{Z}_p $\end{document}, we construct uncorrelated quaternary sequence pairs of length \begin{document}$ 2p $\end{document}, which are almost balanced and have low autocorrelation, except at a few positions.