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Problemy Peredachi Informatsii, 2024, Volume 60, Issue 1, Pages 26–32
DOI: https://doi.org/10.31857/S0555292324010042
(Mi ppi2409)
 

Coding Theory

Correcting a single error in an asymmetric feedback channel

I. V. Vorobyeva, A. V. Lebedevb, V. S. Lebedevb

a Chair of Theoretical Information Technology, Technical University of Munich, Munich, Germany
b Kharkevich Institute for Information Transmission Problems of the Russian Academy of Sciences, Moscow, Russia
References:
Abstract: We prove a new lower bound on the size of a code with complete feedback correcting a single error in a binary asymmetric channel. We also present an upper bound on the size of the code, which is close to the new lower bound.
Keywords: asymmetric channel, feedback, code construction.
Funding agency Grant number
Russian Science Foundation 22-41-02028
The research of the first author was supported in part by the Russian Science Foundation, project no. 22-41-02028. The research of the second and third authors was supported by ongoing institutional funding.
Received: 28.12.2023
Revised: 03.04.2024
Accepted: 03.04.2024
English version:
Problems of Information Transmission, 2024, Volume 60, Issue 1, Pages 21–27
DOI: https://doi.org/10.1134/S0032946024010034
Bibliographic databases:
Document Type: Article
UDC: 621.391 : 519.725
Language: Russian
Citation: I. V. Vorobyev, A. V. Lebedev, V. S. Lebedev, “Correcting a single error in an asymmetric feedback channel”, Probl. Peredachi Inf., 60:1 (2024), 26–32; Problems Inform. Transmission, 60:1 (2024), 21–27
Citation in format AMSBIB
\Bibitem{VorLebLeb24}
\by I.~V.~Vorobyev, A.~V.~Lebedev, V.~S.~Lebedev
\paper Correcting a single error in an asymmetric feedback channel
\jour Probl. Peredachi Inf.
\yr 2024
\vol 60
\issue 1
\pages 26--32
\mathnet{http://mi.mathnet.ru/ppi2409}
\crossref{https://doi.org/10.31857/S0555292324010042}
\edn{https://elibrary.ru/EUSSZN}
\transl
\jour Problems Inform. Transmission
\yr 2024
\vol 60
\issue 1
\pages 21--27
\crossref{https://doi.org/10.1134/S0032946024010034}
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