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

Authors:
Geng-sheng Zhang;Bo-li Li;Xiao-lei Sun;Feng-xia Li
Affiliations:
Department of Mathematics, Hebei Normal University, Shijiazhuang, 050016, PR China;Department of Mathematics, the Branch of Hengshui College, Hengshui, 053000, PR China;Department of Mathematics, Hebei Normal University, Shijiazhuang, 050016, PR China;Shijiazhuang Information Engineering Vocational College, Shijiazhuang, 050035, PR China
Venue:
Discrete Applied Mathematics
Year:
2008

Citing 4
Cited 2

A simple construction of d-disjunct matrices with certain constant weights

Discrete Mathematics
New constructions of non-adaptive and error-tolerance pooling designs

Discrete Mathematics
On error-tolerant DNA screening

Discrete Applied Mathematics
A novel use of t-packings to construct d-disjunct matrices

Discrete Applied Mathematics

Constructing error-correcting pooling designs with symplectic space

Journal of Combinatorial Optimization
Two constructions of new error-correcting pooling designs from orthogonal spaces over a finite field of characteristic 2

Journal of Combinatorial Optimization

Quantified Score

Hi-index	0.04

Visualization

Abstract

In this paper, we construct a d^z-disjunct matrix with subspaces in a dual space of symplectic space F"q^(^2^@n^), then give its several properties and a new definition, ratio efficiency t/n. 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 d-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].