Weight distributions and weight hierarchies of a family of p-ary linear codes
Weight distributions and weight hierarchies of a family of p-ary linear codes
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DOI：
10.1007/s10623-021-00962-9
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发表时间：
2020-03
期刊：
影响因子：
--
通讯作者：
Fei Li;Xiumei Li
中科院分区：
文献类型：
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作者：
Fei Li;Xiumei Li
线性码的重量分布和重量等级是编码理论中的两个重要研究课题。本文通过从非齐次二次函数中选择合适的定义集，构造了一族三重p元线性码，并确定了它们的重量分布和重量谱系。大多数代码可以用于秘密共享方案中。
The weight distribution and weight hierarchy of a linear code are two important research topics in coding theory. In this paper, by choosing proper defining sets from inhomogeneous quadratic functions over, we construct a family of three-weightp-ary linear codes and determine their weight distributions and weight hierarchies. Most of the codes can be used in secret sharing schemes.