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Problemy Peredachi Informatsii, 1997, Volume 33, Issue 1, Pages 55–63 (Mi ppi359)  

This article is cited in 111 scientific papers (total in 111 papers)

Coding Theory

Codes for the $m$-Metric

M. Yu. Rosenbloom, M. A. Tsfasman
Abstract: We introduce a new series of metrics on $\mathbb F_q^n$ generalizing the usual Hamming metric. We give some upper and lower bounds for the parameters of codes in these metrics, as well as simple constructions, including the algebraic geometry one.
Received: 16.11.1995
Revised: 16.01.1996
Bibliographic databases:
Document Type: Article
UDC: 621.391.15
Language: Russian
Citation: M. Yu. Rosenbloom, M. A. Tsfasman, “Codes for the $m$-Metric”, Probl. Peredachi Inf., 33:1 (1997), 55–63; Problems Inform. Transmission, 33:1 (1997), 45–52
Citation in format AMSBIB
\Bibitem{RosTsf97}
\by M.~Yu.~Rosenbloom, M.~A.~Tsfasman
\paper Codes for the $m$-Metric
\jour Probl. Peredachi Inf.
\yr 1997
\vol 33
\issue 1
\pages 55--63
\mathnet{http://mi.mathnet.ru/ppi359}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1441528}
\zmath{https://zbmath.org/?q=an:1037.94545}
\transl
\jour Problems Inform. Transmission
\yr 1997
\vol 33
\issue 1
\pages 45--52
Linking options:
  • https://www.mathnet.ru/eng/ppi359
  • https://www.mathnet.ru/eng/ppi/v33/i1/p55
  • This publication is cited in the following 111 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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