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二元相对等重码的分离性

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二元相对等重码的分离性 

The separation of a binary relative constant-weight code

发布时间:2016-12-02  浏览量:243  收藏数:0  评论数:0

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刘义伟1,, 廖大见2,, 高莹3,, 刘子辉1,*
(  1、北京理工大学数学与统计学院,北京 100081;       2、淮海工学院理学院,连云港 222005 ;       3、北京航空航天大学数学与系统科学学院,北京 100191 ;  )
摘要: 本文给出了二元线性码的码字集的分离坐标位最小值的计算法则,用上述法则,基于码的参数,本文确定了二元相对等重码的任意码字集的分离性。本文还给出了构造二元$(2,1)-$分离码和二元$(2,2)-$分离码的方法。
关键词: 应用数学; 分离性; 分离坐标位; 相对等重码; 支撑重; 可行集
LIU Yi-Wei1,, LIAO Da-Jian2,, GAO Ying3,, LIU Zi-Hui4,*
(  1、Department of Mathematics, Beijing Institute of Technology, Beijing 100081 ;       2、Department of Mathematics, Huaihai Institute of Technology, Lianyungang 222005 ;       3、School of Mathematics and Systems Science, Beihang University, Beijing 100191 ;       4、Department of Mathematics, Beijing Institute of Technology, Beijing 100081;  )
Abstract: Certain formula for computing the minimumvalues of the cardinality of separating coordinate position of thecodeword sets are presented for any binary linear code. With theabove formula, this paper have determined the separation of any codewordsets of a binary relative constant-weight code in terms of codeparameters. A method of constructing binary $(2,1)$-separating and$(2,2)$-separating codes is presented.
Keywords: applied mathematics; separating property; separatingcoordinate position; relative constant-weight code; supportweight; feasible set

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作者简介: LIU Yi-Wei, male, graduate student, major research direction: error correting code
通信联系人: LIU Zi-Hui, male, associate professor, major research direction: error correcting code
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中国科技论文在线:刘义伟,廖大见,高莹等. 二元相对等重码的分离性[EB/OL]

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