In this paper, for the first time, we present a direct construction of multiple zero-correlation zone (ZCZ) sequence sets with inter-set zero-cross correlation zone (ZCCZ) from generalised Boolean function. The presented ZCZ sequence sets are optimal and their union is near-optimal ZCZ sequence set. This work partially settles the open problem introduced by Tang \emph{et al.} in their 2010 paper using direct construction. The proposed construction is presented by two layer graphical representation. Finally, the construction is compared with existing state-of-the-art.
翻译:在本文中,我们首次从一般布林函数中直接构造了多个零相互关系区(ZCZ)序列,由通用的布林函数中设定的零相互关系区(ZCCZ)组成。介绍的ZCZ序列是最佳的,它们的结合是接近最佳的ZCZ序列。这项工作部分解决了2010年Tang \emph{et al.}在其文件中采用直接建造方式提出的未决问题。提议的建筑由两层图形代表提出。最后,将建筑与现有最新技术进行比较。