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Problemy Peredachi Informatsii, 2006, Volume 42, Issue 2, Pages 26–43 (Mi ppi41)  
This article is cited in 6 scientific papers (total in 6 papers)

Coding Theory

Two-Dimensional Array Codes Correcting Rectangular Burst Errors

I. M. Boyarinov

Institute of Systems Analysis, Russian Academy of Sciences
Full-text PDF (1904 kB) Citations (6)
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Abstract: Two-dimensional array codes correcting rectangular burst errors are considered. We give a construction and examples of linear two-dimensional array codes correcting rectangular burst errors of size $b_1\times b_2$ with minimum redundancy $r=2b_1b_2$. We present constructions of cyclic two-dimensional array codes correcting phased and arbitrary rectangular burst errors; their encoding and decoding algorithms are also given. A class of cyclic two-dimensional array codes correcting rectangular burst errors with asymptotically minimal redundancy is described. We construct a class of linear two-dimensional array codes correcting cyclic rectangular $b_1\times b_2$ burst errors with asymptotic excess redundancy $\tilde r_C(b_1,b_2)=2b_1b_2-3$.
Received: 22.09.2005
Revised: 22.03.2006
English version:
Problems of Information Transmission, 2006, Volume 42, Issue 2, Pages 90–105
DOI: https://doi.org/10.1134/S0032946006020037
Bibliographic databases:
Document Type: Article
UDC: 621.391.15
Language: Russian
Citation: I. M. Boyarinov, “Two-Dimensional Array Codes Correcting Rectangular Burst Errors”, Probl. Peredachi Inf., 42:2 (2006), 26–43; Problems Inform. Transmission, 42:2 (2006), 90–105
Citation in format AMSBIB
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\by I.~M.~Boyarinov
\paper Two-Dimensional Array Codes Correcting Rectangular Burst Errors
\jour Probl. Peredachi Inf.
\yr 2006
\vol 42
\issue 2
\pages 26--43
\mathnet{http://mi.mathnet.ru/ppi41}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2232887}
\transl
\jour Problems Inform. Transmission
\yr 2006
\vol 42
\issue 2
\pages 90--105
\crossref{https://doi.org/10.1134/S0032946006020037}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33745844388}
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    • This publication is cited in the following 6 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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