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New construction of error-correcting pooling designs from singular linear spaces over finite fields

Author

Listed:
  • Gang Wang

    (Tianjin Normal University)

  • You Gao

    (Civil Aviation University of China)

Abstract

The group testing problem is that we are asked to identify all the defects with the minimum number of tests when given a set of n items with at most d defects. In this paper, as a generalization of Liu et al.’s construction in the paper (Liu and Gao in Discret Math 338:857–862, 2015), new pooling designs are constructed from singular linear spaces over finite fields. Then we make comparisons with Liu et al.’s construction in the aspects of parameters of pooling designs. By choosing appropriate parameters in our pooling designs, the performance of test efficiency in our pooling designs is better than that given by Liu et al. Finally, the analysis of parameters in our pooling designs is provided.

Suggested Citation

  • Gang Wang & You Gao, 2021. "New construction of error-correcting pooling designs from singular linear spaces over finite fields," Journal of Combinatorial Optimization, Springer, vol. 41(1), pages 197-212, January.
    • Handle: RePEc:spr:jcomop:v:41:y:2021:i:1:d:10.1007_s10878-020-00675-0
    DOI: 10.1007/s10878-020-00675-0
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    References listed on IDEAS

    as
    1. Zengti Li & Suogang Gao & Hongjie Du & Feng Zou & Weili Wu, 2010. "Two constructions of new error-correcting pooling designs from orthogonal spaces over a finite field of characteristic 2," Journal of Combinatorial Optimization, Springer, vol. 20(4), pages 325-334, November.
    2. Suogang Gao & Zengti Li & Hongjie Du & Yan Shi & Weili Wu, 2011. "Approaching pooling design with smaller efficient ratio," Journal of Global Optimization, Springer, vol. 49(1), pages 125-135, January.
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