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Probl. Peredachi Inf., 2003, Volume 39, Issue 2, Pages 3–14 (Mi ppi212)  

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

Information Theory and Coding Theory

Codes in the Vandermonde $\mathcal F$-Metric and Their Applications

È. M. Gabidulin, V. A. Obernikhin


Abstract: $\mathcal F$-metrics are metrics based on projective sets. In this paper, construction of optimal codes for a special $\mathcal F$-metric associated with a generalized Vandermonde matrix is given. Encoding and fast decoding algorithms are described. A public-key cryptosystem is considered as an example of a possible application of codes constructed.

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English version:
Problems of Information Transmission, 2003, 39:2, 159–169

Bibliographic databases:

Received: 19.03.2002
Revised: 19.02.2003

Citation: È. M. Gabidulin, V. A. Obernikhin, “Codes in the Vandermonde $\mathcal F$-Metric and Their Applications”, Probl. Peredachi Inf., 39:2 (2003), 3–14; Problems Inform. Transmission, 39:2 (2003), 159–169

Citation in format AMSBIB
\Bibitem{GabObe03}
\by \`E.~M.~Gabidulin, V.~A.~Obernikhin
\paper Codes in the Vandermonde $\mathcal F$-Metric and Their Applications
\jour Probl. Peredachi Inf.
\yr 2003
\vol 39
\issue 2
\pages 3--14
\mathnet{http://mi.mathnet.ru/ppi212}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=2105856}
\zmath{https://zbmath.org/?q=an:1162.94414}
\transl
\jour Problems Inform. Transmission
\yr 2003
\vol 39
\issue 2
\pages 159--169
\crossref{https://doi.org/10.1023/A:1025165820188}


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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. Ochola C., Moo-Young H.K., “Pulp and paper”, Water Environment Research, 77:6 (2005), 1928–1979  crossref  isi
    2. Gadouleau M., Yan Zh., “Decoder error probability of MRD codes”, Proceedings of 2006 IEEE Information Theory Workshop, 2006, 264–268  crossref  isi
    3. Catterall N., Gabidulin E.M., Honary B., Obernikhin V.A., “Public key cryptosystem based metrics associated with GRS codes”, 2006 IEEE International Symposium on Information Theory, 2006, 729–733  crossref  isi
    4. V. M. Deundyak, Yu. V. Kosolapov, “O stoikosti kodovogo zashumleniya k statisticheskomu analizu nablyudaemykh dannykh mnogokratnogo povtoreniya”, Model. i analiz inform. sistem, 19:4 (2012), 110–127  mathnet  elib
  • Проблемы передачи информации Problems of Information Transmission
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