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Diskretnyi Analiz i Issledovanie Operatsii, Ser. 1, 2006, Volume 13, Issue 4, Pages 60–88 (Mi da12)  
This article is cited in 5 scientific papers (total in 5 papers)

A survey of methods for constructing nonlinear perfect binary codes

A. M. Romanov

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
Full-text PDF (358 kB) Citations (5)
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Abstract: The theory of perfect codes is an area at the juncture of coding theory and design theory which is rather hard to explore. Linear perfect codes were constructed by M. Golay and R. Hamming in the end of the 1940s. Nonlinear perfect codes were discovered by Yu. L. Vasil'ev in 1961. At present, many different methods are known for constructing perfect codes. This article presents a survey of the methods for constructing nonlinear perfect binary codes alongside some open questions of the theory of perfect codes.
English version:
Journal of Applied and Industrial Mathematics, 2008, Volume 2, Issue 2, Pages 252–269
DOI: https://doi.org/10.1134/S1990478908020105
Bibliographic databases:
Language: Russian
Citation: A. M. Romanov, “A survey of methods for constructing nonlinear perfect binary codes”, Diskretn. Anal. Issled. Oper., Ser. 1, 13:4 (2006), 60–88; J. Appl. Industr. Math., 2:2 (2008), 252–269
Citation in format AMSBIB
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\by A.~M.~Romanov
\paper A survey of methods for constructing nonlinear perfect binary codes
\jour Diskretn. Anal. Issled. Oper., Ser.~1
\yr 2006
\vol 13
\issue 4
\pages 60--88
\mathnet{http://mi.mathnet.ru/da12}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2289379}
\zmath{https://zbmath.org/?q=an:1249.94051}
\transl
\jour J. Appl. Industr. Math.
\yr 2008
\vol 2
\issue 2
\pages 252--269
\crossref{https://doi.org/10.1134/S1990478908020105}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-44949201467}
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Дискретный анализ и исследование операций
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    Full-text PDF :261
    References:57
     
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