论文标题
$ p $ - ary线性代码家族的重量层次结构和重量分布
Weight hierarchies and weight distributions of a familiy of $p$-ary linear codes
论文作者
论文摘要
线性代码的重量分布和权重层次结构是编码理论中的两个重要研究主题。在本文中，通过从$ \ mathbb {f} _ {q}^{2}上选择适当的定义集，我们构建了一个$ 3 $ - w $ p $ p $ p $ - y-ary linearearecores的家族，并确定其重量分布和重量层次。大多数代码可用于秘密共享方案。
The weight distribution and weight hierarchy of linear codes are two important research topics in coding theory. In this paper, by choosing proper defining sets from inhomogeneous quadratic functions over $\mathbb{F}_{q}^{2},$ we construct a family of $3$-weight $p$-ary linear codes and determine their weight distributions and weight hierarchies. Most of the codes can be used in secret sharing schemes.
