论文标题
两类线性代码的重量分布
Weight distributions of two classes of linear codes
论文作者
论文摘要
在本文中，基于定义集的理论，构建了两种六个重量线性代码，构建了$ \ mathbb {f} _p $上的六个重量线性代码。线性代码的重量分布是通过高斯时期和Weil总和确定的。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。线性代码也可以用于获得秘密共享方案。
In this paper, based on the theory of defining sets, two classes of at most six-weight linear codes over $\mathbb{F}_p$ are constructed. The weight distributions of the linear codes are determined by means of Gaussian period and 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. The linear codes can also be employed to get secret sharing schemes.
