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Problems of Information Transmission

, Volume 48, Issue 2, pp 173–181 | Cite as

Finding one of D defective elements in some group testing models

  • R. Ahlswede
  • C. DeppeEmail author
  • V. S. Lebedev
Large Systems

Abstract

In contrast to the classical goal of group testing, we consider the problem of finding m defective elements out of D (mD). 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.

Keywords

Group Testing Information Transmission Threshold Group Classical Goal Defective Element 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Pleiades Publishing, Ltd. 2012

Authors and Affiliations

  1. 1.Department of MathematicsUniversity of BielefeldBielefeldGermany
  2. 2.Kharkevich Institute for Information Transmission ProblemsRussian Academy of SciencesMoscowRussia

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