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Pooling designs associated with unitary space and ratio efficiency comparison

Author

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  • Jun Guo

    (Langfang Teachers’ College
    Dalian University of Technology)

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.

Suggested Citation

  • Jun Guo, 2010. "Pooling designs associated with unitary space and ratio efficiency comparison," Journal of Combinatorial Optimization, Springer, vol. 19(4), pages 492-500, May.
    • Handle: RePEc:spr:jcomop:v:19:y:2010:i:4:d:10.1007_s10878-008-9185-6
    DOI: 10.1007/s10878-008-9185-6
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    Cited by:

    1. Haixia Guo & Jizhu Nan, 2014. "Construction of error-tolerance pooling designs in symplectic spaces," Journal of Global Optimization, Springer, vol. 58(2), pages 405-410, February.

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