Constructions of optimal Z-periodic complementary sequence sets with large zero correlation zone

Z-periodic complementary sequence sets (ZPCSSs) have potential applications in multi-carrier code-division multiple access (MC-CDMA) communication systems and MIMO channel estimation due to their favourable correlation properties. In this paper, we explore several methods to design optimal ZPCSSs. More specifically, combining complete complementary code (CCC) and optimal ZPCSS, we design optimal ZPCSSs with flexible parameters, using the Kronecker product. Besides, using product sequences, we obtain the optimal ZPCSS with a large zero correlation zone (ZCZ) and optimal ZPCSSs with flexible flock sizes, respectively. Finally, we can obtain more optimal ZPCSSs using the left shift operator. In particular, some lengths of the resultant sequence sets have not been reported before.