The zero correlation zone (ZCZ) ratio, i.e., the ratio of the width of the ZCZ and the length of the sequence plays a major role in reducing interference in an asynchronous environment of communication systems. However, to the best of the authors knowledge, for $q=\text{2}$, the highest ZCZ ratio for even-length Z-complementary pairs which are directly constructed using generalized Boolean functions (GBFs), is $\text{2}/\text{3}$. In this letter, we present a direct construction of $q$-ary even-length Z-complementary pairs through GBFs, which can achieve a ZCZ ratio of $\text{3}/\text{4}$. In general, the constructed $q$-ary even-length Z-complementary pairs are of length $\text{2}^{m-\text{1}}+\text{2}$ ($m \in \mathbb {Z}^+$), having a ZCZ width of $\text{2}^{m-\text{2}}+\text{2}^{\pi (m-\text{3})}+\text{1}$ where $\pi$ is a permutation over $m-\text{2}$ variables.

中文翻译：

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使用广义布尔函数直接构造 $q$-ary 偶数长度 Z-互补对

零相关区(ZCZ)比，即ZCZ的宽度与序列的长度之比，在通信系统的异步环境中对降低干扰起主要作用。然而，据作者所知，对于$q=\text{2}$，使用广义布尔函数 (GBF) 直接构造的偶数长度 Z 互补对的最高 ZCZ 比率为 $\text{2}/\text{3}$. 在这封信中，我们提出了一个直接的构建$q$-ary 偶数长度 Z-互补对通过 GBFs，可以实现 ZCZ 比率 $\text{3}/\text{4}$. 一般来说，构造$q$-ary 偶数长度 Z-互补对的长度 $\text{2}^{m-\text{1}}+\text{2}$ ($m \in \mathbb {Z}^+$)，ZCZ 宽度为 $\text{2}^{m-\text{2}}+\text{2}^{\pi (m-\text{3})}+\text{1}$ 在哪里 $\pi$ 是一个排列 $m-\text{2}$ 变量。