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Problemy Peredachi Informatsii, 2005, Volume 41, Issue 4, Pages 3–22 (Mi ppi112)  

This article is cited in 14 scientific papers (total in 14 papers)

Information Theory

Sharpening of the Upper Bound for the Reliability Function of a Binary Symmetric Channel

M. V. Burnashev

Institute for Information Transmission Problems, Russian Academy of Sciences
References:
Abstract: An upper bound for the reliability function of a binary symmetric channel is improved.
Received: 17.05.2005
Revised: 18.08.2005
English version:
Problems of Information Transmission, 2005, Volume 41, Issue 4, Pages 301–318
DOI: https://doi.org/10.1007/s11122-006-0001-6
Bibliographic databases:
Document Type: Article
UDC: 621.391.1
Language: Russian
Citation: M. V. Burnashev, “Sharpening of the Upper Bound for the Reliability Function of a Binary Symmetric Channel”, Probl. Peredachi Inf., 41:4 (2005), 3–22; Problems Inform. Transmission, 41:4 (2005), 301–318
Citation in format AMSBIB
\Bibitem{Bur05}
\by M.~V.~Burnashev
\paper Sharpening of the Upper Bound for the Reliability Function of a Binary
Symmetric Channel
\jour Probl. Peredachi Inf.
\yr 2005
\vol 41
\issue 4
\pages 3--22
\mathnet{http://mi.mathnet.ru/ppi112}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2198224}
\zmath{https://zbmath.org/?q=an:1104.94009}
\transl
\jour Problems Inform. Transmission
\yr 2005
\vol 41
\issue 4
\pages 301--318
\crossref{https://doi.org/10.1007/s11122-006-0001-6}
Linking options:
  • https://www.mathnet.ru/eng/ppi112
  • https://www.mathnet.ru/eng/ppi/v41/i4/p3
  • This publication is cited in the following 14 articles:
    1. Anelia Somekh-Baruch, “An Upper Bound on the Reliability Function of Discrete Memoryless Channels”, IEEE Trans. Inform. Theory, 70:5 (2024), 3059  crossref
    2. M. V. Burnashev, “New upper bounds in the hypothesis testing problem with information constraints”, Problems Inform. Transmission, 56:2 (2020), 157–172  mathnet  crossref  crossref  isi  elib
    3. M. V. Burnashev, “On lower bounds on the spectrum of a binary code”, Problems Inform. Transmission, 55:4 (2019), 366–375  mathnet  crossref  crossref  isi  elib
    4. Zinoviev V.A., “on Classical Kloosterman Sums”, Cryptogr. Commun., 11:3, SI (2019), 461–496  crossref  mathscinet  zmath  isi  scopus
    5. M. V. Burnashev, “On the BSC reliability function: expanding the region where it is known exactly”, Problems Inform. Transmission, 51:4 (2015), 307–325  mathnet  crossref  isi  elib
    6. Kabashima Y., “How could the replica method improve accuracy of performance assessment of channel coding? - art. no. 012018”, International Workshop on Statistical-Mechanical Informatics 2008 (Iw-Smi 2008), Journal of Physics Conference Series, 143, 2009, 12018–12018  crossref  isi
    7. Pascale Charpin, Tor Helleseth, Victor Zinoviev, 2008 IEEE International Symposium on Information Theory, 2008, 2608  crossref
    8. Yael Ben-Haim, Simon Litsyn, “Improved Upper Bounds on the Reliability Function of the Gaussian Channel”, IEEE Trans. Inform. Theory, 54:1 (2008), 5  crossref
    9. M. V. Burnashev, “Addendum to the Paper “Code Spectrum and the Reliability Function: Binary Symmetric Channel””, Problems Inform. Transmission, 43:1 (2007), 23–25  mathnet  crossref  mathscinet  isi
    10. M. V. Burnashev, “Code Spectrum and the Reliability Function: Gaussian Channel”, Problems Inform. Transmission, 43:2 (2007), 69–88  mathnet  crossref  mathscinet  zmath  isi
    11. Burnashev M.V., “New results on the reliability function of the Gaussian channel”, 2007 IEEE International Symposium on Information Theory Proceedings, 2007, 471–474  crossref  mathscinet  isi
    12. M. V. Burnashev, “Code Spectrum and the Reliability Function: Binary Symmetric Channel”, Problems Inform. Transmission, 42:4 (2006), 263–281  mathnet  crossref  mathscinet
    13. Yael Ben-Haim, Simon Litsyn, 2006 IEEE International Symposium on Information Theory, 2006, 709  crossref
    14. P. Charpin, T. Helleseth, V.A. Zinoviev, “The coset distribution of triple-error-correcting binary primitive BCH codes”, IEEE Trans. Inform. Theory, 52:4 (2006), 1727  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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