Finding one of D defective elements in some group testing models |
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Authors: | R Ahlswede C Deppe V S Lebedev |
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Affiliation: | 1. Department of Mathematics, University of Bielefeld, Bielefeld, Germany 2. Kharkevich Institute for Information Transmission Problems, Russian Academy of Sciences, Moscow, Russia
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Abstract: | In contrast to the classical goal of group testing, we consider the problem of finding m defective elements out of D (m ?? 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. |
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