2013 | OriginalPaper | Chapter
Superimposed Codes and Threshold Group Testing
Authors : Arkadii D’yachkov, Vyacheslav Rykov, Christian Deppe, Vladimir Lebedev
Published in: Information Theory, Combinatorics, and Search Theory
Publisher: Springer Berlin Heidelberg
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We will discuss superimposed codes and non-adaptive group testing designs arising from the potentialities of compressed genotyping models in molecular biology. The given paper was motivated by the 30th anniversary of D’yachkov-Rykov recurrent upper bound on the rate of superimposed codes published in 1982. We were also inspired by recent results obtained for non-adaptive threshold group testing which develop the theory of superimposed codes.