A Class of Linear Codes with Three and Five Weights

被引：0
|
作者：
DU Xiaoni [1 ]
LI Xiaodan [1 ]
WAN Yunqi [1 ]
机构：
[1] College of Mathematics and Statistics, Northwest Normal University
来源：
Chinese Journal of Electronics | 2019年 / 28卷 / 03期
基金：
中国国家自然科学基金;
关键词：
Linear codes; Weight distributions; Secret sharing schemes; Optimal codes;
D O I：
暂无
中图分类号：
O157.4 [编码理论（代数码理论）];
学科分类号：
070104 ;
摘要：
Linear codes have been an interesting topic in both theory and practice for many years. Based on the theory of defining set, a class of three-weight and five-weight linear codes over prime field Fp are constructed, which is an extension of Wang et al.’s construction. Our construction include some optimal codes and almost optimal codes with respect to the Singleton bounds. We employ exponential sums to investigate the weight distributions of these linear codes. The results show that these codes can be used to construct secret sharing schemes.
引用
收藏
页码：457 / 461
页数：5
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