• Corpus ID: 238856851

Improved Lower Bounds for Strongly Separable Matrices and Related Combinatorial Structures

  title={Improved Lower Bounds for Strongly Separable Matrices and Related Combinatorial Structures},
  author={Bingchen Qian and Xin Wang and Gennian Ge},
In nonadaptive group testing, the main research objective is to design an efficient algorithm to identify a set of up to t positive elements among n samples with as few tests as possible. Disjunct matrices and separable matrices are two classical combinatorial structures while one provides a more efficient decoding algorithm and the other needs fewer tests, i.e., larger rate. Recently, a notion of strongly separable matrix has been introduced, which has the same identifying ability as a… 


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  • 2012
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A family of subsets of an n-set is 4-locally thin if for every quadruple of its members the ground set has at least one element contained in exactly 1 of them. We show that such a family has at most
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  • Mathematics, Computer Science
    IEEE Trans. Inf. Theory
  • 2000
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  • J. Shearer
  • Mathematics, Computer Science
    Electron. J. Comb.
  • 1996
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