期刊信息
![](/web/statics/zr_qikan_img.jpg)
- 刊名: 河北师范大学学报(自然科学版)Journal of Hebei Normal University (Natural Science)
- 主办: 河北师范大学
- ISSN: 1000-5854
- CN: 13-1061/N
- 中国科技核心期刊
- 中国期刊方阵入选期刊
- 中国高校优秀科技期刊
- 华北优秀期刊
- 河北省优秀科技期刊
利用伪辛子空间构造的一类pooling设计及其纠错能力的紧界分析
-
1. 河北科技大学 理学院, 河北 石家庄 050018;
2. 石家庄市职业财会学校, 河北 石家庄 050010;
3. 河北师范大学 数学与信息科学学院, 河北 石家庄 050016 -
DOI:
10.13763/j.cnki.jhebnu.nse.2015.05.001
A Family of Pooling Designs by Subspaces of a Pseudo-symplectic Space and the Tight Bounds of Their Error-correcting Capability
摘要/Abstract
摘要:
利用伪辛空间上的子空间构造了一类新的dz-析取矩阵,证明了它的析取性,讨论了反映dz-析取矩阵纠错能力z值的紧界.
Abstract:
In this paper,we construct a family of pooling designs by the subspaces of a pseudo-symplectic space.We prove that these designs are disjunctive and derive the tight bounds of z indicating correcting capability.
关键词
Key words:
pooling design
;
dz-disjunct
;
pseudo-symplectic space
;
tighter bounds
参考文献 8
- [1] DU Dingzhu,HWANG F K.Pooling Designs and Nonadaptive Group Testing:Important Tools for DNA Sequencing[M].Singapore:World Scientific,2006.
- [2] DYACHKOV A G,HWANG F K,MACULA A J,et al.Construction of Pooling Designs with Some Happy Surprises[J].Journal of Computational Biology,2005,12:1129-1136.
- [3] NGO H Q.On a Hyperplane Arrangement Problem and Tighter Analysis of an Error-tolerant Pooling Design[J].Journal of Combinatorial Optimal,2008,152:61-76.
- [4] HUANG Tayuan,WANG Kaishun,WENG Chihwen.Pooling Spaces Associated with Finite Geometries[J].European Journal of Combinatorics,2008,29:1483-1491.
- [5] ZHANG Gengsheng,YANG Yuqin,ZHAO Xianghui.A Construction of dz-disjunct Matrices by Orthogonal Space and Discussion on Their Design Parameters[J].Discrete Mathematics,2009,309:6026-6034.
- [6] NAN Jizhu,GUO Jun.New Error-correcting Pooling Designs Associated with Finite Vector Spaces[J].Journal of Combinatorial Optimization,2010,20:96-100.
- [7] WAN Zhexian.Geometry of Classical Groups over Finite Fields[M].Beijing:Science Press,2002.
- [8] 赵向会,李逢霞,张更生.伪辛几何中一类子空间的填充排列[J].河北师范大学学报:自然科学版,2014,38(5):433-438.