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Due to the zero nontrivial aperiodic correlation of complete complementarycode (CCCs), it is used in asynchronous multi carrier code division multipleaccess (MC-CDMA) communication to provide zero interference performance.However, there is no CCC for some lengths. In this case, if the system paysmore attention to the correlation, it can use mutually orthogonal complementarysequence sets (MOCSSs), and if the system pays more attention to the set size,it can use Z-complementary code sets (ZCCSs). In this paper, we propose adirect construction of $q$-ary $(q^{v+1},q,q^m,q^{m-v})$-ZCCS. In addition,based on the known CCCs, we propose a new construction of MOCSSs and CCCsrespectively.

New Construction of Z-Complementary Code Sets and Mutually Orthogonal Complementary Sequence Sets