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

Author

Listed:
  • Geng-sheng Zhang

    (Hebei Normal University)

  • Xiao-lei Sun

    (Hebei Normal University)

  • Bo-li Li

    (The Branch of Hengshui College)

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.

Suggested Citation

  • Geng-sheng Zhang & Xiao-lei Sun & Bo-li Li, 2009. "Error-correcting pooling designs associated with the dual space of unitary space and ratio efficiency comparison," Journal of Combinatorial Optimization, Springer, vol. 18(1), pages 51-63, July.
    • Handle: RePEc:spr:jcomop:v:18:y:2009:i:1:d:10.1007_s10878-007-9137-6
    DOI: 10.1007/s10878-007-9137-6
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