Sequence families with zero correlation zone (ZCZ) have been extensively studied in recent years due to their important applications in quasi-synchronous code-division multiple-access (QS-CDMA) systems. To accommodate multiuser environments, multiple ZCZ sequence sets with low inter-set cross-correlation are expected. In this paper, we propose a construction of polyphase ZCZ sequences based on generalised bent functions. Moreover, multiple polyphase ZCZ sequence sets with good inter-set cross-correlation are presented. Each generated ZCZ sequence set is optimal with respect to the Tang-Fan-Matsufuji bound.

中文翻译：

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广义弯曲函数的多相零相关带序列

零相关区（ZCZ）序列族由于在准同步码分多址（QS-CDMA）系统中的重要应用，近年来已得到广泛研究。为了适应多用户环境，期望具有低组间互相关的多个ZCZ序列集。在本文中，我们提出了基于广义弯曲函数的多相ZCZ序列的构造。此外，提出了具有良好的组间互相关的多个多相ZCZ序列集。相对于Tang-Fan-Matsufuji界限，每个生成的ZCZ序列集都是最佳的。