Pooling designs associated with unitary space and ratio efficiency comparison

Jun Guo ()
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Jun Guo: Langfang Teachers’ College

Journal of Combinatorial Optimization, 2010, vol. 19, issue 4, No 5, 492-500

Abstract: Abstract Let $\mathbb{F}^{(2\nu+\delta)}_{q^{2}}$ be a (2ν+δ)-dimensional unitary space of $\mathbb{F}_{q^{2}}$ , where δ=0 or 1. In this paper we construct a family of inclusion matrices associated with subspaces of $\mathbb{F}^{(2\nu+\delta)}_{q^{2}}$ , and exhibit its disjunct property. Moreover, we compare the ratio efficiency of this construction with others, and find it smaller under some conditions.

Keywords: Pooling designs; d e -disjunct matrix; Unitary space; Totally isotropic subspaces; Non-isotropic subspaces (search for similar items in EconPapers)
Date: 2010
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DOI: 10.1007/s10878-008-9185-6

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