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Diskretnaya Matematika, 2006, Volume 18, Issue 4, Pages 137–147
DOI: https://doi.org/10.4213/dm78 (Mi dm78) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Nonlinear codes from modified Butson–Hadamard matrices

S. A. Stepanov
Full-text PDF (766 kB) Citations (2)
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DOI: https://doi.org/10.4213/dm78
Abstract: Let $p\geq 3$ be a prime number. In this paper we construct two families of nonlinear $p$-ary codes derived from the corresponding families of modified Butson–Hadamard matrices. These codes have the minimal distances close to the Plotkin bound and very easy construction and decoding procedures. Moreover, for some of these codes the Plotkin bound is attained.
Received: 22.06.2005
Revised: 13.06.2006
English version:
Discrete Mathematics and Applications, 2006, Volume 16, Issue 6, Pages 429–438
DOI: https://doi.org/10.1515/156939206779238463
Bibliographic databases:
UDC: 519.72
Language: Russian
Citation: S. A. Stepanov, “Nonlinear codes from modified Butson–Hadamard matrices”, Diskr. Mat., 18:4 (2006), 137–147; Discrete Math. Appl., 16:6 (2006), 429–438
Citation in format AMSBIB
\Bibitem{Ste06}
\by S.~A.~Stepanov
\paper Nonlinear codes from modified Butson--Hadamard matrices
\jour Diskr. Mat.
\yr 2006
\vol 18
\issue 4
\pages 137--147
\mathnet{http://mi.mathnet.ru/dm78}
\crossref{https://doi.org/10.4213/dm78}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2310099}
\zmath{https://zbmath.org/?q=an:1133.94019}
\elib{https://elibrary.ru/item.asp?id=9450355}
\transl
\jour Discrete Math. Appl.
\yr 2006
\vol 16
\issue 6
\pages 429--438
\crossref{https://doi.org/10.1515/156939206779238463}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Дискретная математика
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