Abstract
We consider the classical (2,N) group testing problem, i.e., the problem of finding two defectives among N elements. We propose a new adaptive algorithm such that for \(N = \left\lfloor {2\tfrac{{t + 1}} {2} - t \cdot 2\tfrac{t} {4}} \right\rfloor \) the problem can be solved in t tests.
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Original Russian Text © C. Deppe, V.S. Lebedev, 2013, published in Problemy Peredachi Informatsii, 2013, Vol. 49, No. 4, pp. 87–94.
Supported in part by the German Research Council (DFG), project “General Theory of Information Transfer.”
Supported in part by the Russian Foundation for Basic Research, project no. 12-01-00905-a, and German Research Council (DFG), project “General Theory of Information Transfer.”
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Deppe, C., Lebedev, V.S. Group testing problem with two defectives. Probl Inf Transm 49, 375–381 (2013). https://doi.org/10.1134/S0032946013040078
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DOI: https://doi.org/10.1134/S0032946013040078