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Probl. Peredachi Inf., 2013, Volume 49, Issue 4, Pages 87–94 (Mi ppi2125)  

This article is cited in 1 scientific paper (total in 1 paper)

Large Systems

Group testing problem with two defectives

C. Deppea, V. S. Lebedevb

a Department of Mathematics, University of Bielefeld, Bielefeld, Germany
b Kharkevich Institute for Information Transmission Problems, Russian Academy of Sciences, Moscow, Russia

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 $N=\lfloor 2^{\frac{t+1}2}-t\cdot2^{\frac t4}\rfloor$ the problem can be solved in $t$ tests.

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English version:
Problems of Information Transmission, 2013, 49:4, 375–381

Bibliographic databases:

UDC: 621.391.1+519.1
Received: 19.03.2013
Revised: 14.06.2013

Citation: C. Deppe, V. S. Lebedev, “Group testing problem with two defectives”, Probl. Peredachi Inf., 49:4 (2013), 87–94; Problems Inform. Transmission, 49:4 (2013), 375–381

Citation in format AMSBIB
\Bibitem{DepLeb13}
\by C.~Deppe, V.~S.~Lebedev
\paper Group testing problem with two defectives
\jour Probl. Peredachi Inf.
\yr 2013
\vol 49
\issue 4
\pages 87--94
\mathnet{http://mi.mathnet.ru/ppi2125}
\transl
\jour Problems Inform. Transmission
\yr 2013
\vol 49
\issue 4
\pages 375--381
\crossref{https://doi.org/10.1134/S0032946013040078}
\isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=000330766500007}
\scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84898001503}


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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. V. S. Lebedev, “Adaptive search for one defective in the additive group testing model”, Problems Inform. Transmission, 53:3 (2017), 274–278  mathnet  crossref  isi  elib
  • Проблемы передачи информации Problems of Information Transmission
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