This paper presents a direct construction of novel type cross Z-complementary sequence sets (CZCSSs), whose aperiodic correlation sums exhibit zero correlation zones at both the front-end and tail-end shifts. CZCSS can be regarded as an extension of the symmetrical Z-complementary code set (SZCCS). The available construction of SZCCS has a limitation on the set size, with a maximum set size of 8. The proposed generalized Boolean function-based construction can generate CZCSS/SZCCS of length in the form of a non-power-of-two with variable set size \(2^{n+1}\), where each code has \(2^{n+1}\) constituent sequences. The proposed construction also yields cross Z-complementary pairs and cross Z-complementary sets with a larger number of constituent sequences compared to the existing work.

本文提出了一种新型交叉Z互补序列集（CZCSS）的直接构造，其非周期相关和在前端和尾端移位处均表现出零相关区。 CZCSS可以看作是对称Z补码集（SZCCS）的扩展。 SZCCS 的可用构造对集合大小有限制，最大集合大小为 8。所提出的基于广义布尔函数的构造可以生成具有变量的非 2 幂形式的长度 CZCSS/SZCCS设置大小\(2^{n+1}\)，其中每个代码都有\(2^{n+1}\) 个组成序列。与现有工作相比，所提出的结构还产生了具有更多组成序列的交叉 Z 互补对和交叉 Z 互补集。