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Problemy Peredachi Informatsii, 2022, Volume 58, Issue 3, Pages 3–17
DOI: https://doi.org/10.31857/S0555292322030019 (Mi ppi2371) 		 
Information Theory

On the reliability function for a BSC with noiseless feedback at zero rate

M. V. Burnashev

Kharkevich Institute for Information Transmission Problems, Russian Academy of Sciences, Moscow, Russia
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DOI: https://doi.org/10.31857/S0555292322030019
Abstract: We consider the transmission of nonexponentially many messages through a binary symmetric channel with noiseless feedback. We obtain an upper bound for the best decoding error exponent. Combined with the corresponding known lower bound, this allows us to find the reliability function for this channel at zero rate.
Keywords: reliability function, noiseless feedback.
Funding agency Grant number
Russian Foundation for Basic Research 19-01-00364
Supported in part by the Russian Foundation for Basic Research, project no. 19-01-00364.
Received: 07.05.2022
Revised: 14.06.2022
Accepted: 21.06.2022
English version:
Problems of Information Transmission, 2022, Volume 58, Issue 3, Pages 203–216
DOI: https://doi.org/10.1134/S0032946022030012
Bibliographic databases:
Document Type: Article
UDC: 621.391 : 519.724
Language: Russian
Citation: M. V. Burnashev, “On the reliability function for a BSC with noiseless feedback at zero rate”, Probl. Peredachi Inf., 58:3 (2022), 3–17; Problems Inform. Transmission, 58:3 (2022), 203–216
Citation in format AMSBIB
\Bibitem{Bur22}
\by M.~V.~Burnashev
\paper On the reliability function for a BSC with noiseless feedback at zero rate
\jour Probl. Peredachi Inf.
\yr 2022
\vol 58
\issue 3
\pages 3--17
\mathnet{http://mi.mathnet.ru/ppi2371}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=820704}
\edn{https://elibrary.ru/DZTOVB}
\transl
\jour Problems Inform. Transmission
\yr 2022
\vol 58
\issue 3
\pages 203--216
\crossref{https://doi.org/10.1134/S0032946022030012}
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