A construction of -disjunct matrices in a dual space of symplectic space

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Bibliographic Details
Title: A construction of -disjunct matrices in a dual space of symplectic space
Authors: Zhang, Geng-sheng1 gshzhang@hebtu.edu.cn, Li, Bo-li2, Sun, Xiao-lei1, Li, Feng-xia3
Source: Discrete Applied Mathematics. Jun2008, Vol. 156 Issue 12, p2400-2406. 7p.
Subjects: Matrices (Mathematics), Universal algebra, Symplectic geometry, Cybernetics
Abstract: Abstract: In this paper, we construct a -disjunct matrix with subspaces in a dual space of symplectic space , then give its several properties and a new definition, ratio efficiency . As the smaller the ratio efficiency is, the better the pooling design is. We discuss the ratio efficiency of this construction and compare it with others, such as in [Anthony J. Macula, A simple construction of -disjunct matrices with certain constant weights, Discrete Mathematics 162 (1996) 311–312; A.G. D’yachkov, Frank K. Hwang, Antony J. Macula, Pavel A. Vilenkin, Chih-wenWeng, A construction of pooling designs with some happy surprises, Journal of Computational Biology 12 (2005) 1129–1136]. [Copyright &y& Elsevier]
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Abstract:Abstract: In this paper, we construct a -disjunct matrix with subspaces in a dual space of symplectic space , then give its several properties and a new definition, ratio efficiency . As the smaller the ratio efficiency is, the better the pooling design is. We discuss the ratio efficiency of this construction and compare it with others, such as in [Anthony J. Macula, A simple construction of -disjunct matrices with certain constant weights, Discrete Mathematics 162 (1996) 311–312; A.G. D’yachkov, Frank K. Hwang, Antony J. Macula, Pavel A. Vilenkin, Chih-wenWeng, A construction of pooling designs with some happy surprises, Journal of Computational Biology 12 (2005) 1129–1136]. [Copyright &y& Elsevier]
ISSN:0166218X
DOI:10.1016/j.dam.2007.11.003