License: Creative Commons Attribution 4.0 International license (CC BY 4.0)
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DOI: 10.4230/DagSemProc.09281.2
URN: urn:nbn:de:0030-drops-22414
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Porat, Ely ; Rotschild, Amir

Explicit Non-Adaptive Combinatorial Group Testing Schemes

09281.PoratEly.ExtAbstract.2241.pdf (0.2 MB)


Group testing is a long studied problem in combinatorics: A small set of r ill people should be identified out of the whole (n people) by using only queries (tests) of the form "Does set X contain an ill human?". In this paper we provide an explicit construction of a testing scheme which is better (smaller) than any known explicit construction. This scheme has \Theta(min[r2 log n, n])tests which is as many as the best non-explicit schemes have. In our construction we use a fact that may have a value by its own right: Linear error-correction codes with parameters [m, k, \delta m]q meeting the Gilbert-Varshamov bound may be constructed quite efficiently, in \Theta[q^{k}m) time.

BibTeX - Entry

  author =	{Porat, Ely and Rotschild, Amir},
  title =	{{Explicit Non-Adaptive Combinatorial Group Testing Schemes}},
  booktitle =	{Search Methodologies},
  pages =	{1--13},
  series =	{Dagstuhl Seminar Proceedings (DagSemProc)},
  ISSN =	{1862-4405},
  year =	{2009},
  volume =	{9281},
  editor =	{Rudolf Ahlswede and Ferdinando Cicalese and Ugo Vaccaro},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{},
  URN =		{urn:nbn:de:0030-drops-22414},
  doi =		{10.4230/DagSemProc.09281.2},
  annote =	{Keywords: Prime Numbers, Group Testing, Streaming, Pattern Matching}

Keywords: Prime Numbers, Group Testing, Streaming, Pattern Matching
Collection: 09281 - Search Methodologies
Issue Date: 2009
Date of publication: 10.11.2009

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