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Problemy Peredachi Informatsii, 2003, Volume 39, Issue 2, Pages 3–14 (Mi ppi212)  
This article is cited in 5 scientific papers (total in 5 papers)

Information Theory and Coding Theory

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

È. M. Gabidulin, V. A. Obernikhin
Full-text PDF (945 kB) Citations (5)
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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.
Received: 19.03.2002
Revised: 19.02.2003
English version:
Problems of Information Transmission, 2003, Volume 39, Issue 2, Pages 159–169
DOI: https://doi.org/10.1023/A:1025165820188
Bibliographic databases:
Document Type: Article
Language: Russian
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://mathscinet.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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  • https://www.mathnet.ru/eng/ppi/v39/i2/p3
    • This publication is cited in the following 5 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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