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Problemy Peredachi Informatsii, 2022, Volume 58, Issue 4, Pages 38–49
DOI: https://doi.org/10.31857/S0555292322040040 (Mi ppi2382) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Coding Theory

Correcting a single error in feedback channels

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

a Technische Universität München, Munich, Germany
b Kharkevich Institute for Information Transmission Problems, Russian Academy of Sciences, Moscow, Russia
Full-text PDF (224 kB) First page Citations (4)
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DOI: https://doi.org/10.31857/S0555292322040040
Abstract: We address the problem of correcting a single error in an arbitrary discrete memoryless channel with error-free instantaneous feedback. For the case of a one-time feedback, we propose a method for constructing optimal transmission strategies. The obtained result allows us to prove that for a binary channel, two feedbacks are sufficient to transmit the same number of messages as in the case of complete feedback. We also apply the developed techniques to a binary asymmetric channel to construct transmission strategies for small lengths.
Keywords: coding with feedback, symmetric channel, asymmetric channel, Hamming bound, linear programming problem.
Funding agency Grant number
Russian Foundation for Basic Research 20-51-18002
20-01-00559
Federal Ministry of Education and Research (Germany) 16KIS1005
16KISK002
The research of I.V. Vorobyev was partially supported by the joint grant of the Russian Foundation for Basic Research and the National Science Foundation of Bulgaria, project no. 20-51-18002, Russian Foundation for Basic Research, project no. 20-01-00559, and BMBF-NEWCOM, grant no. 16KIS1005. The research of C. Deppe was partially supported by BMBF-NEWCOM, grant no. 16KIS1005, and BMBF-6G-life, grant no. 16KISK002. The research of A.V. Lebedev and V.S. Lebedev was partially supported by the joint grant of the Russian Foundation for Basic Research and the National Science Foundation of Bulgaria, project no. 20-51-18002.
Received: 20.09.2022
Revised: 28.11.2022
Accepted: 28.11.2022
English version:
Problems of Information Transmission, 2022, Volume 58, Issue 4, Pages 329–340
DOI: https://doi.org/10.1134/S0032946022040044
Bibliographic databases:
Document Type: Article
UDC: 621.391 : 519.72
Language: Russian
Citation: I. V. Vorobyev, C. Deppe, A. V. Lebedev, V. S. Lebedev, “Correcting a single error in feedback channels”, Probl. Peredachi Inf., 58:4 (2022), 38–49; Problems Inform. Transmission, 58:4 (2022), 329–340
Citation in format AMSBIB
\Bibitem{VorDepLeb22}
\by I.~V.~Vorobyev, C.~Deppe, A.~V.~Lebedev, V.~S.~Lebedev
\paper Correcting a single error in feedback channels
\jour Probl. Peredachi Inf.
\yr 2022
\vol 58
\issue 4
\pages 38--49
\mathnet{http://mi.mathnet.ru/ppi2382}
\crossref{https://doi.org/10.31857/S0555292322040040}
\edn{https://elibrary.ru/EBRKNL}
\transl
\jour Problems Inform. Transmission
\yr 2022
\vol 58
\issue 4
\pages 329--340
\crossref{https://doi.org/10.1134/S0032946022040044}
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Проблемы передачи информации Problems of Information Transmission
     
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