分圆数与一类二元循环码的最小距离

分圆数与一类二元循环码的最小距离

孙广人¹, 胡万宝²

1. 安庆师范学院数学系, 安徽安庆 246011; 2. 东南大学移动通信国家重点实验室, 南京 210096

收稿日期:2008-07-24 修回日期:1900-01-01 出版日期:2009-05-26 发布日期:2009-06-23
通讯作者: 胡万宝

Cyclotomic Number and the Minimum Distance of a Class of Binary Cyclic Codes

SUN Guangren¹, HU Wanbao²

1. Department of Mathematics, Anqing Teachers College, Anqing 246011, Anhui Province, China; 2. National Mobile Communications Research Laboratory, Southeast University, Nanjing 210096, China

Received:2008-07-24 Revised:1900-01-01 Online:2009-05-26 Published:2009-06-23
Contact: HU Wanbao

摘要/Abstract

摘要： 使用分圆数讨论一类二元循环码重量为4的码字数的取值, 给出了某些情况下有关最小距离猜测的3个初等判别准则及一个码字数A₄只含有分圆数的计算公式.

关键词: 分圆数, 二元循环码, 最小距离

Abstract: The number of codewords with weight 4 in one open problem on a class of binary cyclic codes is discussed by means of cyclotomic numbers, three elementary rules of criterion on the open problem and a formula to compute A₄ with only cyclotomic numbers involved is given under certain conditions.

Key words: cyclotomic numbers, binary cyclic codes, the minimum distance

中图分类号:

O157.4

孙广人, 胡万宝. 分圆数与一类二元循环码的最小距离[J]. J4, 2009, 47(03): 469-475.

SUN Guangren, HU Wanbao. Cyclotomic Number and the Minimum Distance of a Class of Binary Cyclic Codes[J]. J4, 2009, 47(03): 469-475.

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