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基于二元叠加码M_q(n,k,d)的随机Pooling设计

Random Pooling Designs Under the Binary Superposition Code M_q(n,k,d)
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摘要 以2002年Ngo Hung Q.和DU Ding-Zhu构作的二元叠加码M_q(n,k,d)为基础生成一个随机Pooling设计,研究了这个随机Pooling设计的参数和性质. A random pooling design is generated from binary superimposed code M_q(n,k,d)constructed by Ngo Hung Q.and DU Ding-Zhu in 2002.Afterwards,parameters and properties of the random pooling design are studied.
作者 李艳 王少英 柳洁冰 LI Yan;WANG Shao-ying;LUI Jie-bing(School of Mathematics and Information Science,Zhangjiakou University,Zhangjiakou 075000,China;Department of Mathematics and Physics,Handan College,Handan,056005,China)
机构地区 张家口学院数学和信息科学学院 邯郸学院数理学院
出处 《数学的实践与认识》 北大核心 2019年第5期310-314,共5页 Mathematics in Practice and Theory
关键词 二元叠加码M_q(n k d) α-almost d-析取矩阵 α-almost(d r z]-析取矩阵 binary superposition code M_q(n,k,d) α-almost d-disjunct matrix α-almost(d,r,z]-disjunct matrix
分类号 O151.21 [理学—基础数学]
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  • 1Ngo H Q,Du Dingzhu.New constructions of non-adaptive and error-tolerance pooling designs[J].Discrete Mathematics,2002,243:161-170.
  • 2Kautz W H,Singleton R C.Nonrandom binary superimposed codes[J].IEEE Trans.Inform.Theory,1964,10:363-377.
  • 3Macula A J.Nonadaptive group testing with error resistant d-disjunct matrices[J].Discrete Applied Mathematics,1998,80:217-282.
  • 4Huang Tayuan,Weng Chihwen.Pooling spaces and non-adaptive pooling designs[J].Discrete Mathematics,2004,282:163-169.
  • 5Hwang F K.Note On Macula's error-correcting pooling designs[J].Discrete Mathematics,2003,268:311-314.
  • 6Du Dingzhu,Hwang F K.Pooling Designs and Nonadaptive Group Testing[M].Word Scientific,Singepore,2006.
  • 7Du Dingzhu,Hwang F K.Combinatorial Group Testing and Its Applications[M].World Scientific,Singapore,2000.
  • 8Perter Damaschke,Azam Sheikh Muhammad,Gabor Wiener.Strict group testing and the set basis problem[J].Journal of Combinatorial Theory Series A,2014,126:70-91.
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  • 10Mahdi Cheraghchi.Noise-resilient group testing:Limitations and constructions[J].Discrete Applied Mathematics,2013,161:81-95.

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数学的实践与认识
2019年 第5期

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