Constructing error-correcting pooling designs with symplectic space

Jun Guo (), Yuexuan Wang (), Suogang Gao (), Jiangchen Yu and Weili Wu ()
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Jun Guo: Langfang Normal College
Yuexuan Wang: Tsinghua University
Suogang Gao: Hebei Normal University
Jiangchen Yu: University of Texas at Dallas
Weili Wu: University of Texas at Dallas

Journal of Combinatorial Optimization, 2010, vol. 20, issue 4, No 7, 413-421

Abstract: Abstract We construct a family of error-correcting pooling designs with the incidence matrix of two types of subspaces of symplectic spaces over finite fields. We show that the new construction gives better ratio of efficiency compared with previously known three constructions associated with subsets of a set, its analogue over a vector space, and the dual spaces of a symplectic space.

Keywords: Pooling designs; d e -disjunct matrix; Symplectic space; Totally isotropic subspaces; Non-isotropic subspaces (search for similar items in EconPapers)
Date: 2010
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DOI: 10.1007/s10878-009-9217-x

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