Error-correcting pooling designs associated with the dual space of unitary space and ratio efficiency comparison

Geng-sheng Zhang (), Xiao-lei Sun and Bo-li Li
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Geng-sheng Zhang: Hebei Normal University
Xiao-lei Sun: Hebei Normal University
Bo-li Li: The Branch of Hengshui College

Journal of Combinatorial Optimization, 2009, vol. 18, issue 1, No 4, 63 pages

Abstract: Abstract In this paper, we construct a d z -disjunct matrix with subspaces in a dual space of Unitary space $\mathbb{F}_{q^{2}}^{(n)}$ , then give its several properties. As the smaller the ratio efficiency is, the better the pooling design is. We compare the ratio efficiency of this construction with others, such as the ratio efficiency of the construction of set, the general space and the dual space of symplectic space. In addition, we find it smaller under some conditions.

Keywords: Group testing; d-disjunct; d z -disjunct; Ratio efficiency (search for similar items in EconPapers)
Date: 2009
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DOI: 10.1007/s10878-007-9137-6

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