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n维有限射影几何上的Pooling设计 被引量:1

Pooling Designs from the n-dimensional Projective Geometry over Finite Field
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摘要 利用n维有限射影几何的性质,首先研究了Pooling设计的数学模型M_q(m,k,r)矩阵的参数d,e.其次证明了矩阵M_q(m,k,r)的转置矩阵M_q(m,r,k)是一个(d,z)-separable矩阵. The first, with the properties of the n-dimensional projective Geometry over Finite Field, it is studied parameters d, e of the mathematical model Mq(n, k, r) of pooling design. Secondly, it is proved that transposed matrix Mq(n, r, k) of the matrix Mq(n, k, r) is a (d, z) - separable matrix.
出处 《数学的实践与认识》 CSCD 北大核心 2012年第10期265-268,共4页 Mathematics in Practice and Theory
基金 河北省张家口市科技支撑研究项目(1112025B)
关键词 n维有限射影几何 POOLING设计 (d e)-disjunct矩阵 (d z)-separable矩阵 the n-dimensional projective geometry over finite field pooling design (d, e) -disjunct matrix (d, z) - separable matrix
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参考文献5

  • 1Kautz W H, Singleton R C. Nonrandom binary superimposed codes[J]. IEEE Trans. Inform. Theory, 1964, 10:363-377.
  • 2HUANG Ta-yuan, WENG Chih-wen. Pooling spaces and non-adaptive pooling designs[J]. Discrete Mathematics, 2004, 282:163-169.
  • 3DU Ding-zhu, HWANG F K. Pooling Designs and Nonadaptive Group Testing[M]. Word Scientific, Singepore, 2006.
  • 4HUNG Q. Ngo, DU Ding-zhu. New constructions of non-adaptive and error-tolerance pooling design[J]. Discrete Mathematics, 2002, 243: 161-1170.
  • 5DU Ding-zhu, HWANG F K. Combinatorial Group Testing and its Applications[M]. Word Scientific, Singepore, 2000.

同被引文献10

  • 1Dyachkov A G, Rykov V V. A survey of superimposed code theory[J]. Problems of Control Infor- mation Theory, 1983, 12(4): 1-13.
  • 2Huang T Y, Weng C W. Pooling spaces and nonadaptive pooling designs[J]. Discrete Mathematics, 2004 , 282: 163-169.
  • 3Dyachkov A G, Macula A J, Villenkin P A. Noaadaptive and trivial two-stage group testing with error-correcting d -disjunct matrices[J]. Springer Berlin Heidelberg, 2007, 16: 71-83.
  • 4Du D Z, Hwang F K. Pooling designs and nonadaptive group testing[M]. Word Scientific, Singepore, 2006.
  • 5Li Z T, Gao S G, Du H J, et al. Two constructions of new error-correcting poling design from orthogonal spaces over finite field of characteristic 2 [J]. Journal of combinatorial Optimization, 2010, 20(4): 325-334.
  • 6Du D Z, Hwang F K. Combinatorial Group Testing and Its Applications[M]. Word Scientific, Singe- pore, 2000.
  • 7Hung Q N, Du D Z. New constructions of non-adaptive and error-tolerance pooling design[J]. Dis- :rete Mathematics. 2002. 243:161-1170.
  • 8赵燕冰,黄中升.n阶射影平面上d-disjunct矩阵的构作[J].河北师范大学学报(自然科学版),2008,32(3):295-296. 被引量:6
  • 9赵红海,康丽坤.n阶射影平面上可容错的(d,r;z]-disjunct矩阵[J].数学的实践与认识,2012,24(11):261-263. 被引量:2
  • 10赵燕冰.n维射影几何上可检错的d-disjunct矩阵[J].河北北方学院学报(自然科学版),2008,24(A03):10-12. 被引量:1

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