Z-complementary pairs with flexible lengths and large zero odd-periodic correlation zones

<p style='text-indent:20px;'>Z-complementary pairs (ZCPs) have been widely used in different communication systems. In this paper, we first investigate the odd-periodic correlation property of ZCPs, and propose a new class of ZCPs, called ZOC-ZCPs with zero correlation zone (ZCZ) width <inline-formula><tex-math id="M1">\begin{document}$ Z $\end{document}</tex-math></inline-formula> and zero odd-period correlation zone (ZOCZ) width <inline-formula><tex-math id="M2">\begin{document}$ Z_{odd} = Z $\end{document}</tex-math></inline-formula> by horizontal concatenation of a certain combination of some known ZCPs. Particularly, based on any known Golay pair, we can generate a class of GCPs of more flexible length whose ZOCZ width is larger than a quarter of the sequence length.</p>