一类三重量三元线性码的构造  

The construction of a class of three-weight ternary linear codes

作　　者：方凯俊 韩广国[1] FANG Kaijun;HAN Guangguo(School of Sciences,Hangzhou Dianzi University,Hangzhou Zhejiang 310018,China)

机构地区：[1]杭州电子科技大学理学院,浙江杭州310018

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)。

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.

关 键 词：定义集合 线性码 指数和 重量分布 

分 类 号：O157.4[理学—数学]