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Diskretnyi Analiz i Issledovanie Operatsii, 2012, Volume 19, Issue 6, Pages 3–8 (Mi da707)  
On reconstruction of a binary code from dimensions of its subcodes

S. V. Avgustinovichab, E. V. Gorkunovab

a S. L. Sobolev Institute of Mathematics, SB RAS, Novosibirsk, Russia
b Novosibirsk State University, Novosibirsk, Russia
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Abstract: Regarding $q$-ary codes, we generalize the theorem on reconstructing of a binary code from dimensions of its subcodes. The new reconstruction theorem involves arbitrary positive integer $q$. We propose he term of a correlation coefficient for a set of subcodes of a code. Here correlation coefficient of subcodes is a $q$-ary analog for dimension of a subcode of a binary code. Bibliogr. 6.
Keywords: code, strong isometry, reconstruction, equivalent codes.
Received: 27.03.2012
Revised: 17.10.2012
English version:
Journal of Applied and Industrial Mathematics, 2013, Volume 7, Issue 2, Pages 127–130
DOI: https://doi.org/10.1134/S1990478913020014
Bibliographic databases:
Document Type: Article
UDC: 519.725
Language: Russian
Citation: S. V. Avgustinovich, E. V. Gorkunov, “On reconstruction of a binary code from dimensions of its subcodes”, Diskretn. Anal. Issled. Oper., 19:6 (2012), 3–8; J. Appl. Industr. Math., 7:2 (2013), 127–130
Citation in format AMSBIB
\Bibitem{AvgGor12}
\by S.~V.~Avgustinovich, E.~V.~Gorkunov
\paper On reconstruction of a~binary code from dimensions of its subcodes
\jour Diskretn. Anal. Issled. Oper.
\yr 2012
\vol 19
\issue 6
\pages 3--8
\mathnet{http://mi.mathnet.ru/da707}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3076909}
\transl
\jour J. Appl. Industr. Math.
\yr 2013
\vol 7
\issue 2
\pages 127--130
\crossref{https://doi.org/10.1134/S1990478913020014}
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    		Дискретный анализ и исследование операций
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