The separation of a binary relative constant-weight code

LIU Yi-Wei; LIAO Da-Jian; GAO Ying; LIU Zi-Hui

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The separation of a binary relative constant-weight code

LIU Yi-Wei 1 #,LIAO Da-Jian 2,GAO Ying 3,LIU Zi-Hui 4 *

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

*Correspondence author

#Submitted by

Subject:

Funding: National Natural Science Foundation of China（No.11171366）

Opened online: 2 December 2016

Accepted by: none

Citation: LIU Yi-Wei,LIAO Da-Jian,GAO Ying.The separation of a binary relative constant-weight code[OL]. [ 2 December 2016] http://en.paper.edu.cn/en_releasepaper/content/4711868

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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