论文标题
来自非常规弯曲功能的三个重量三元线性代码
Three Weight Ternary Linear Codes from Non-Weakly Regular Bent Functions
论文作者
论文摘要
在本文中，基于通用构造方法构建了来自非定期双弯曲功能的几类三重三元线性代码。我们使用的子空间$ b _+（f）$或$ b _-（f）$而不是整个空间，而是与三元普通的双键函数$ f $相关。不寻常的是，我们将双函数的前图像集$ f^*$在$ b _+（f）$或$ b _-（f）$中用作相应代码的定义集。由于构造代码的定义集的大小是灵活的，因此它使我们能够构造具有不同参数的多个代码以固定尺寸。我们表示构造代码的重量分布。我们还举了几个例子。
In this paper, several classes of three-weight ternary linear codes from non-weakly regular dual-bent functions are constructed based on a generic construction method. Instead of the whole space, we use the subspaces $B_+(f)$ or $B_-(f)$ associated with a ternary non-weakly regular dual-bent function $f$. Unusually, we use the pre-image sets of the dual function $f^*$ in $B_+(f)$ or $B_-(f)$ 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. We also give several examples.
