This paper presents a construction of multiple Z-complementary code sets (ZCCSs) of prime power length with low inter-set cross-correlation values using extended generalized Boolean functions (EGBFs). By collecting the proposed multiple Z-complementary code sets (ZCCSs), a low correlation zone complementary sequence set (LCZ-CSS) with new parameters is also achieved as a byproduct of this construction. Furthermore, we propose a new multi-cell multi-carrier code-division multiple-access (MC-CDMA) system for the downlink scenario, which has the ability to reduce multiple access interference (MAI) completely and decrease inter-cell interference (ICI) to a very low level in quasi-synchronous (QS) scenarios. Similarly, the proposed code can also be used for uplink MC-CDMA system. We provide the bit error rate (BER) performance of the proposed system and compared with the traditional system model. Moreover, we demonstrate that some of the existing constructions are special cases of the proposed construction.

中文翻译：

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组间低相关性的多个Z互补码集的构造

本文提出了使用扩展广义布尔函数（EGBF）构建具有低组间互相关值的质数幂长度的多个 Z 互补码集（ZCCS）。通过收集所提出的多个 Z 互补码集 (ZCCS)，还获得了具有新参数的低相关区互补序列集 (LCZ-CSS)，作为该构造的副产品。此外，我们针对下行链路场景提出了一种新的多小区多载波码分多址（MC-CDMA）系统，该系统能够完全降低多址干扰（MAI）并降低小区间干扰（ICI） ）在准同步（QS）场景中降低到非常低的水平。类似地，所提出的代码也可用于上行链路MC-CDMA系统。我们提供了所提出系统的误码率（BER）性能，并与传统系统模型进行了比较。此外，我们证明了一些现有的建筑是拟议建筑的特例。