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利用伪辛空间构作的新Pooling设计(英文) 被引量：1

New Pooling Design Constructed with Pseudo-symplectic Space
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摘要 Pooling design is a mathematical tool in many application areas.In this paper, we give a new construction of pooling design with subspaces of the pseudo-symplectic space and discuss its properties.We define the design parameters of a d^z-disjunct matrix.Then we discuss the change law of the design parameters in our construction along with their variables. Pooling design is a mathematical tool in many application areas. In this paper, we give a new construction of pooling design with subspaces of the pseudo-symplectic space and discuss its properties. We define the design parameters of a d^2-disjunct matrix. Then we discuss the change law of the design parameters in our construction along with their variables.
作者 赵向会 徐宁 张更生
机构地区 Institute of Science Mathematics and Information Science College
出处 《Chinese Quarterly Journal of Mathematics》 CSCD 2012年第4期526-534,共9页 数学季刊（英文版）
基金 Supported by the NSF of Hebei Province(A2009000253)
关键词 pooling design d^2-disjunct matrix design parameter pseudo-symplectic space pooling design dZ-disjunct matrix design parameter pseudo-symplectic space
分类号 O157.2 [理学—基础数学]
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参考文献10

  • 1DU Ding-zhu, HWANG F K. Pooling Designs and Nonadaptive Group Testing-important Tools for DNA Sequencing[M], Singapore: World Scientific, 2006.
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同被引文献10

  • 1DONOHOD. Compressed sensing[J]. IEEE Trans InformTheory,2006,52:1289-1306.
  • 2CANDES E,ROMBERG J,TAO T. Robust uncertainty principles:exact signal reconstruction from highly incomplete frequency information[J].IEEE Trans Inform Theory,2006,52:489-509.
  • 3BOURGAIN J,DILWORTH S,FORD K,et al. Explicit constructions of RIP matrices and related problems[J]. Duke Math J,2011,159:145-185.
  • 4CANDES E. The restricted isometry property and its implications for compressed sensing[J]. CR Math Acad Sci Paris,2008,346:589-592.
  • 5DEVORE R. Deterministic constructions of compressed sensing matrices[J]. J Complexity,2007,23:918-925.
  • 6LI SHUXING,GAO FEI,GE GENNIAN,et al. Deterministic construction of compressed sensing matrices via algebraic curves[J]. IEEE Trans. InformTheory,2012,58:5035-5041.
  • 7LI SHUXING,GE GENNIAN. Deterministic construction of sparse sensingmatricesviafinitegeometry[J]. IEEE Trans on Signal Processing,2014,62:2850-2859.
  • 8ZHANG MANLI,JIE CUNLAI. Anzahl theorems of flats in affine singular linear spaces and their applications[J]. Journal of Hebei Normal University(Natural Science Edition),2012,36:560-563.
  • 9WAN ZHEXIAN. Geometry of Classical Groups Over Finite Fields[M].2nd ed. Beijing:Science Press,2002.
  • 10WANG KAISHUN,GUO JUN,LI FENGGAO. Singular linaer space and its application[J]. Finite Fields App,2011,17:395-406.

引证文献1

Chinese Quarterly Journal of Mathematics
2012年 第4期

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