循环码的一种构造方法研究  

A study on the construction method of cyclic codes

作　　者：游龙 王成东 YOU Long;WANG Cheng-dong(Chongqing Jiaotong University,400074 China)

机构地区：[1]重庆交通大学数学与统计学院,重庆400074

出　　处：《新余学院学报》2024年第2期93-97,共5页Journal of Xinyu University

摘　　要：运用循环码生成多项式的性质与定义,对循环码新的构造方法进行研究,确定了构造出的循环码的重量分布、重量谱、最小距离和自同构群。新的构造方法在一定条件下比现有文献中的构造方法更易得出循环码的自同构群等性质。By using the properties and definitions of generating polynomials for cyclic codes,a new construction method for cyclic codes is studied.The weight distribution,weight spectrum,minimum distance and automorphism group of the constructed cyclic codes are determined.The new construction method are easier to obtain properties such as automorphism groups of cyclic codes than existing construction methods in literature under certain conditions.

关 键 词：循环码 重量谱 最小距离 自同构群 

分 类 号：O175.4[理学—数学]