一类循环码的完全重量分布

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英文篇名：The Complete Weight Distribution of a Class of Cyclic Codes 作者：于龙 ; 胡鹏 ; 刘修生 ; 刘宏伟 英文作者：YU Long;HU Peng;LIU Xiusheng;LIU Hongwei;School of Mathematics and Physics, Hubei Polytechnic University;Hubei Key Laboratory of Applied Mathematics, Hubei University;School of Mathematics and Statistics, Central China Normal University; 关键词：循环码 ; 高斯和 ; 重量分布 ; 完全重量分布 英文关键词：Cyclic code;;Gauss sum;;weight distribution;;complete weight distribution 中文刊名：STYS 英文刊名：Journal of Systems Science and Mathematical Sciences 机构：湖北理工学院数理学院;应用数学湖北省重点实验室(湖北大学);华中师范大学数学与统计学学院; 出版日期：2018-10-15 出版单位：系统科学与数学 年：2018 期：v.38 基金：湖北省教育厅科学技术研究项目(Q20174503);; 应用数学湖北省重点实验室(湖北大学)开放课题基金;; 湖北理工学院校级科研项目(17xjz04R,17xjz03A)资助课题 语种：中文; 页：STYS201810010 页数：7 CN：10 ISSN：11-2019/O1 分类号：108-114

摘要

我们利用有限域上的高斯和工具,确定了一类循环码的完全重量分布.进一步,利用文章的主要结果还可以得到一类线性码的重量分布.
        In this paper, by using Gauss sums, we determine the complete weight distribution of a class of cyclic codes over the finite field. Furthermore, based on the main result, the weight distribution of a class of linear codes is obtained.

引文

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