<p style='text-indent:20px;'>This paper constructs several classes of three-weight ternary linear codes from non-weakly regular dual-bent functions based on a generic construction method. Instead of the whole space, we use the subspaces <inline-formula><tex-math id="M1">\begin{document}$ B_{\pm}(f) $\end{document}</tex-math></inline-formula> associated with a ternary non-weakly regular dual-bent function <inline-formula><tex-math id="M2">\begin{document}$ f $\end{document}</tex-math></inline-formula>. Unusually, we use the pre-image sets of the dual function <inline-formula><tex-math id="M3">\begin{document}$ f^* $\end{document}</tex-math></inline-formula> in <inline-formula><tex-math id="M4">\begin{document}$ B_{\pm}(f) $\end{document}</tex-math></inline-formula> as the defining sets of the corresponding codes. Since the size of the defining sets of the constructed codes is flexible, it enables us to construct several codes with different parameters for a fixed dimension. We represent the weight distribution of the constructed codes, and we also give several examples.</p>

中文翻译：

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来自非弱规则弯曲函数的三个权重三元线性码

<p style='text-indent:20px;'>本文基于一种通用的构造方法，从非弱正则双弯函数构造了几类三权三元线性码。而不是整个空间，我们使用子空间 <inline-formula><tex-math id="M1">\begin{document}$ B_{\pm}(f) $\end{document}</tex-math ></inline-formula> 与三元非弱正则双弯函数相关联 <inline-formula><tex-math id="M2">\begin{document}$ f $\end{document}</tex -math></inline-formula>。不同寻常的是，我们使用对偶函数 <inline-formula><tex-math id="M3">\begin{document}$ f^* $\end{document}</tex-math>< /inline-formula> 在 <inline-formula><tex-math id="M4"> \begin{document}$ B_{\pm}(f) $\end{document}</tex-math></inline-formula> 作为相应代码的定义集。由于构建代码的定义集的大小是灵活的，它使我们能够为固定维度构建具有不同参数的多个代码。我们表示了构造代码的权重分布，也给出了几个例子。</p>