Constructions of quaternary periodic complementary sequence sets with zero correlation zone

Based on binary periodic complementary sequence set and binary Zero-Correlation Zone (ZCZ) sequence set, constructions of quaternary periodic complementary sequence sets with zero-correlation zone are proposed by using the inverse Gray mapping. If the initial sequence set is optimal, then the resultant quaternary ZCZ periodic complementary set is optimal or almost optimal with respect to the theoretical bound. ZCZ periodic complementary sets have larger set size compared with the conventional complementary sets, and can support more users in communication systems.