论文标题
具有四到五个重量的一类线性代码的完整重量枚举者
Complete weight enumerators of a class of linear codes with four or five weights
论文作者
论文摘要
在本文中，基于定义集的理论，构建了一类四重量或五重量线性代码，而构建了FP上的五个重量线性代码。线性代码的完整重量枚举器由Weil总和确定。在某些情况下，关于Griesmer Bound的代码几乎是最佳的代码，根据在线代码表，这也是最佳代码。这是张等人（2020）提出的结果的扩展。
In this paper, based on the theory of defining sets, a class of four-weight or five-weight linear codes over Fp is constructed. The complete weight enumerators of the linear codes are determined by means of Weil sums. In some case, there is an almost optimal code with respect to Griesmer bound, which is also an optimal one according to the online code table. This is an extension of the results raised by Zhang et al.(2020).
