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Problemy Peredachi Informatsii, 2012, Volume 48, Issue 2, Pages 100–109
(Mi ppi2077)
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This article is cited in 6 scientific papers (total in 6 papers)
Large Systems
Finding one of $D$ defective elements in some group testing models
R. Ahlswedea, C. Deppea, V. S. Lebedevb a University of Bielefeld, Germany
b Kharkevich Institute for Information Transmission Problems, Russian Academy of Sciences, Moscow
Abstract:
In contrast to the classical goal of group testing, we consider the problem of finding m defective elements out of $D$ ($m\le D$). We analyze two different test functions. We give adaptive strategies and present lower bounds for the number of tests and show that our strategy is optimal for $m=1$.
Received: 10.05.2011
Citation:
R. Ahlswede, C. Deppe, V. S. Lebedev, “Finding one of $D$ defective elements in some group testing models”, Probl. Peredachi Inf., 48:2 (2012), 100–109; Problems Inform. Transmission, 48:2 (2012), 173–181
Linking options:
https://www.mathnet.ru/eng/ppi2077 https://www.mathnet.ru/eng/ppi/v48/i2/p100
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