循环码的一种构造方法研究
A study on the construction method of cyclic codes
游龙 1王成东1
作者信息
- 1. 重庆交通大学 数学与统计学院,重庆 400074
- 折叠
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.
Abstract
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 condi-tions.
关键词
循环码/重量谱/最小距离/自同构群Key words
cyclic codes/weight spectrum/minimum distance/automorphism groups引用本文复制引用
出版年
2024
NETL
NSTL
维普
万方数据