摘要
有限域上线性互补对偶码(linear codes with complementary duals,LCD)具有良好的结构和性质,并在双用户加法器信道中得到广泛的应用。文章构造四元厄米特LCD常循环码,分析它们的参数,并确定其维数,给出它们最小距离的下界。
Linear codes with complementary duals(LCD)over finite fields have good structure and properties,and are widely used in two-user adder channels.In this paper,the quaternary Hermitian LCD constacyclic codes are constructed and their parameters are analyzed.The dimensions of these codes are settled and the lower bounds on their minimum distances are presented.
作者
孙世林
刘丽
SUN Shilin;LIU Li(School of Mathematics,Hefei University of Technology,Hefei 230601,China)
出处
《合肥工业大学学报（自然科学版）》
CAS
北大核心
2023年第1期136-140,共5页
Journal of Hefei University of Technology：Natural Science
基金
国家自然科学基金资助项目(61972126)
中央高校基本科研业务费专项资金资助项目(PA2019GDZC0097)。
关键词
线性互补对偶码
常循环码
生成多项式
linear codes with complementary duals(LCD)
constacyclic codes
generator polynomial
