摘要
运用定义集合及指数和的理论,选取合适的二变量函数构造少重量码,得到一类三元域上的三重量线性码,并确定线性码的具体参数和重量分布,最后通过Magma程序验证了结果的正确性。
Using the theory of defining sets and exponential sums,appropriate bivariate function is selected to construct linear codes with few weights,a class of three-weight ternary linear codes is obtained and their specific parameters and weight distribution are determined.Finally,the correctness of the results is verified by the Magma program.
作者
方凯俊
韩广国
FANG Kaijun;HAN Guangguo(School of Sciences,Hangzhou Dianzi University,Hangzhou Zhejiang 310018,China)
出处
《杭州电子科技大学学报（自然科学版）》
2023年第4期83-89,共7页
Journal of Hangzhou Dianzi University：Natural Sciences
基金
浙江省自然科学基金资助项目(LY18A010012)。
关键词
定义集合
线性码
指数和
重量分布
defining set
linear code
exponential sums
weight distribution
