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n阶射影平面上可容错的(d,r;z]-disjunct矩阵 被引量：2

(d,r,z]-disjunct matrices with Error-Tolerance on the Projective Plane with n Order
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摘要 一个(d,r;z]-disjunct矩阵在许多领域有着极为广泛的应用.利用n阶射影平面的性质构作了(d,r;z]-disjunct矩阵,并研究了它的检错性和纠错性. A （d,r, z]-disjunct matrix is widely used in many areas. With the properties of the projective plane with n order , A （d, r, z]-disjunct matrix and A （d, z）-separable matrix are constructed and error-detecting and error-correcting are studied.
作者 赵红海 康丽坤
机构地区 张家口职业技术学院基础部
出处 《数学的实践与认识》 CSCD 北大核心 2012年第11期261-263,共3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阶射影平面 (d z)-separable矩阵 (d r z]-disjunct矩阵 （d, r, z]-disjunct matrix （d,z）-separable matrix the projective Plane with n Order
分类号 O151.21 [理学—基础数学]
  • 相关文献

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.
  • 4DU Ding-zhu, HWANG F K. Combinatorial group testing and its applications[M]. Word Scientific, Singepore, 2000.
  • 5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

二级参考文献6

  • 1YEH H G. d-disjunct Matrices:Bounds and Lovasz Local Lemma [J]. Discrete Mathematics,2002,253:97-107,
  • 2MACULA A J. Nonadaptive Grop Testing with Error Resistant d-disjunct Matrices [ J ]. Discrete Applied Mathematices, 1998, 80.217-282.
  • 3CHEN Hong-bin, HWANG F K. Exploring the Missing Link Among d-separable, d-separable and d-disjunct Matrices [J ]. Discrete Applied Mathematices, 2007,155 : 662-664.
  • 4DU Ding-zhu, HWANG F K. Pooling Designs and Nonadaptive Gromp Testing [ M]. Singepore: Word Scientific ,2006.40-44.
  • 5HUANG Ta-yuan, WENG Chih-wen. Pooling Spaces and Nonadaptive Pooling Designs [ J ]. Discrete Mathematics, 2004,282: 163-169.
  • 6MACULA A J. Error-correcting Nonadaptive Group Testing with (d, e)-disjunct Matrices [J]. Discrete Applied Mathematics, 1997,80: 217-222.

共引文献5

同被引文献19

  • 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.
  • 8Kautz W H, Singleton R C. Nonrandom binary superimposed codes[J]. IEEE Trans. Inform. Theory, 1964, 10:363-377.
  • 9Du D Z, Hwang F K. Pooling Designs and Nonadaptive Group Testing[M]. Word Scientific, Singe- pore, 2006.
  • 10Chen H B, Fu H L. Nonadaptive algorithms for threshold group testing[J]. Discrete Applied Math- ematics, 2009, 157: 1581-1585.

引证文献2

二级引证文献2

数学的实践与认识
2012年 第11期

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