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Optimal Randomized Group Testing Algorithm to Determine the Number of Defectives

Information Theory 2020-01-03 v1 math.IT

Abstract

We study the problem of determining exactly the number of defective items in an adaptive Group testing by using a minimum number of tests. We improve the existing algorithm and prove a lower bound that shows that the number of tests in our algorithm is optimal up to small additive terms.

Keywords

Cite

@article{arxiv.2001.00441,
  title  = {Optimal Randomized Group Testing Algorithm to Determine the Number of Defectives},
  author = {Nader H. Bshouty and Catherine A. Haddad-Zaknoon and Raghd Boulos and Foad Moalem and Jalal Nada and Elias Noufi and Yara Zaknoon},
  journal= {arXiv preprint arXiv:2001.00441},
  year   = {2020}
}

Comments

arXiv admin note: substantial text overlap with arXiv:1712.00615

R2 v1 2026-06-23T13:01:23.083Z