A New and Direct Construction of Asymptotically Optimal Multiple Sets of Multiple Zero-Correlation Zone Sequence Sets

Multiple sets of multiple zero correlation zone (MZCZ) sequence sets are suitable for a quasi-synchronous code division multiple access (QS-CDMA) system in multi-user, multi-cluster and multi-cell environments to eliminate the interferences. In this paper, we present a two-folded direct construction of asymptotically optimal multiple sets of MZCZ sequence sets with inter-set zero-cross correlation zone (ZCCZ) from multivariable functions (MVFs). Each MZCZ sequence set forms a ZCZ sequence set after taking the union of elements in the MZCZ sequence set. Therefore, multiple sets of MZCZ sequence sets will form a new MZCZ sequence set, which is referred to as fold one. Further, this newly formed MZCZ sequence set again generates a ZCZ sequence set in the same manner, which is referred to as fold two. Also, for the first time in the literature, we are presenting multiple sets of MZCZ sequence sets. In this paper, many new lengths of MZCZ sequence sets are covered. Finally, the construction is compared with the existing state-of-the-art.