In this paper, for the first time, we present a direct and new construction of multiple zero-correlation zone (ZCZ) sequence sets with inter-set zero-cross correlation zone (ZCCZ) from generalised Boolean function. Tang \emph{et al.} in their 2010 paper, proposed an open problem to construct $N$ binary ZCZ sequence sets such that each of these ZCZ sequence sets is optimal and if the union of these $N$ sets is taken then that union is again an optimal ZCZ sequence set. The proposed construction partially settles this open problem by presenting a construction of optimal ZCZ sequence sets such that their union is a near-optimal ZCZ sequence set. Further, the performance parameter of each binary ZCZ sequence set in the proposed construction is $1$ and tends to $1$ for their union. The proposed construction is presented by a two-layer graphical representation and compared with the existing state-of-the-art. Finally, novel multi-cluster quasi synchronous-code division multiple access (QS-CDMA) system model is provided by using the proposed multiple ZCZ sequence sets.

翻译：本文首次提出了一种基于广义布尔函数的直接且新型的多零相关区(ZCZ)序列集构造方法，该方法可实现集间零互相关区(ZCCZ)。Tang等人于2010年提出了一个开放问题：构造N个二进制ZCZ序列集，使得每个序列集均为最优，且这N个序列集的并集同样构成最优ZCZ序列集。本文提出的构造通过给出最优ZCZ序列集（其并集为近最优ZCZ序列集），部分解决了该开放问题。此外，该构造中每个二进制ZCZ序列集的性能参数为1，其并集的性能参数趋近于1。本文采用双层图形化表示呈现所提构造，并与现有最新技术进行了比较。最后，利用所提出的多ZCZ序列集，构建了一种新型多簇准同步码分多址(QS-CDMA)系统模型。