New constructions of Z-complementary code sets and mutually orthogonal complementary sequence sets

Due to their zero nontrivial aperiodic correlation property, complete complementary codes (CCCs) have been used in asynchronous multi carrier code division multiple access communication systems to provide zero interference performance. However, the existing CCCs length is limited. In such cases, mutually orthogonal complementary sequence sets (MOCSSs) and Z-complementary code sets (ZCCSs) can replace CCCs. In this paper, we first propose a direct construction of q -ary ( q v + 1 , q , q m , q m - v ) -ZCCSs, and then propose a new construction of MOCSSs and CCCs based on known CCCs. Notably, our constructions fill the gaps in some parameters of sequence sets mentioned above.