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Problemy Peredachi Informatsii, 2004, Volume 40, Issue 3, Pages 13–20 (Mi ppi139)  

This article is cited in 4 scientific papers (total in 4 papers)

Coding Theory

On the Optimality of Trivial $(w,r)$ Cover-Free Codes

H. K. Kima, V. S. Lebedevb

a Pohang University of Science and Technology
b Institute for Information Transmission Problems, Russian Academy of Sciences
Full-text PDF (717 kB) Citations (4)
References:
Abstract: A $(w,r)$-cover-free code is the incidence matrix of a family of sets where no intersection of $w$ members of the family is covered by the union of $r$ others. We obtain a new condition in view of which $(w,r)$-cover-free codes with a simple structure are optimal. We also introduce $(w,r)$-cover-free codes with a constraint set.
Received: 23.12.2003
Revised: 24.05.2004
English version:
Problems of Information Transmission, 2004, Volume 40, Issue 3, Pages 195–201
DOI: https://doi.org/10.1023/B:PRIT.0000044255.42299.4f
Bibliographic databases:
Document Type: Article
UDC: 621.391.15
Language: Russian
Citation: H. K. Kim, V. S. Lebedev, “On the Optimality of Trivial $(w,r)$ Cover-Free Codes”, Probl. Peredachi Inf., 40:3 (2004), 13–20; Problems Inform. Transmission, 40:3 (2004), 195–201
Citation in format AMSBIB
\Bibitem{KimLeb04}
\by H.~K.~Kim, V.~S.~Lebedev
\paper On the Optimality of Trivial $(w,r)$ Cover-Free Codes
\jour Probl. Peredachi Inf.
\yr 2004
\vol 40
\issue 3
\pages 13--20
\mathnet{http://mi.mathnet.ru/ppi139}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2102724}
\zmath{https://zbmath.org/?q=an:1088.94028}
\transl
\jour Problems Inform. Transmission
\yr 2004
\vol 40
\issue 3
\pages 195--201
\crossref{https://doi.org/10.1023/B:PRIT.0000044255.42299.4f}
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  • https://www.mathnet.ru/eng/ppi139
  • https://www.mathnet.ru/eng/ppi/v40/i3/p13
  • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Проблемы передачи информации Problems of Information Transmission
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    Full-text PDF :144
    References:62
     
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