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二元等重码的一个简单构作及其检错性
引用本文:李艳,张拥萍,胡海燕.二元等重码的一个简单构作及其检错性[J].数学的实践与认识,2017(4):292-296.
作者姓名:李艳  张拥萍  胡海燕
作者单位:1. 张家口学院理学系,河北张家口,075000;2. 张家口学院初等教育系,河北张家口,075000
摘    要:对于自然数s,k,t,0
关 键 词:二元等重码  最佳等重码  最佳检错码

A Simiple Construction and Error-detecting Properties of a Binary Constant Weight Code
LI Yan,ZHANG Yong-ping,HU Hai-yan.A Simiple Construction and Error-detecting Properties of a Binary Constant Weight Code[J].Mathematics in Practice and Theory,2017(4):292-296.
Authors:LI Yan  ZHANG Yong-ping  HU Hai-yan
Abstract:For natural numbers s,k,t,0 < s < k < t,s,k ∈ t]={1,2,...,t},((ts)) denotes the family of s-subsets of t].A relation matrix is constructed by inclusion relation of subsets in two different family of subsets ((ts)) and ((tk).Proved that this relation matrix is a binary constant weight code and obtained conditions of optimal constant weight code and studied its error-detecting properties.
Keywords:binary constant weight codes  optimal constant weight codes  optimal error-detecting codes
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