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Problemy Peredachi Informatsii, 1974, Volume 10, Issue 1, Pages 15–28 (Mi ppi1015)  
This article is cited in 3 scientific papers (total in 3 papers)

Coding Theory

Decoding Complexity of Low-Density Codes For Transmission in a Channel with Erasures

V. V. Zyablov, M. S. Pinsker
Full-text PDF (1243 kB) Citations (3)
Abstract: It is proved that low density codes of length $n$ exist with a decoding that corrects all erasures up to multiplicity on with a complexity of order $n\ln n$. It is shown that the ratio of $\alpha n$ to the code distance corresponding to the Varshamov–Gilbert bound has a lower bound varying from 0.33 to 0.66 as the transmission rate is increased from 0 to 1.
Received: 28.09.1972
Revised: 20.08.1973
Bibliographic databases:
Document Type: Article
UDC: 621.391.15
Language: Russian
Citation: V. V. Zyablov, M. S. Pinsker, “Decoding Complexity of Low-Density Codes For Transmission in a Channel with Erasures”, Probl. Peredachi Inf., 10:1 (1974), 15–28; Problems Inform. Transmission, 10:1 (1974), 10–21
Citation in format AMSBIB
\Bibitem{ZyaPin74}
\by V.~V.~Zyablov, M.~S.~Pinsker
\paper Decoding Complexity of Low-Density Codes For Transmission in a Channel with Erasures
\jour Probl. Peredachi Inf.
\yr 1974
\vol 10
\issue 1
\pages 15--28
\mathnet{http://mi.mathnet.ru/ppi1015}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=354157}
\zmath{https://zbmath.org/?q=an:0326.94011}
\transl
\jour Problems Inform. Transmission
\yr 1974
\vol 10
\issue 1
\pages 10--21
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  • https://www.mathnet.ru/eng/ppi/v10/i1/p15
    • This publication is cited in the following 3 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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