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Problemy Peredachi Informatsii, 2006, Volume 42, Issue 2, Pages 12–25 (Mi ppi40)  
This article is cited in 8 scientific papers (total in 8 papers)

Coding Theory

Spectral Approach to Linear Programming Bounds on Codes

A. M. Bargab, D. Yu. Nogina

a Institute for Information Transmission Problems, Russian Academy of Sciences
b University of Maryland
Full-text PDF (1191 kB) Citations (8)
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Abstract: We give new proofs of asymptotic upper bounds of coding theory obtained within the frame of Delsarte?s linear programming method. The proofs rely on the analysis of eigenvectors of some finite-dimensional operators related to orthogonal polynomials. Examples of the method considered in the paper include binary codes, binary constant-weight codes, spherical codes, and codes in projective spaces.
Received: 09.12.2005
Revised: 01.03.2006
English version:
Problems of Information Transmission, 2006, Volume 42, Issue 2, Pages 77–89
DOI: https://doi.org/10.1134/S0032946006020025
Bibliographic databases:
Document Type: Article
UDC: 621.391.15:681
Language: Russian
Citation: A. M. Barg, D. Yu. Nogin, “Spectral Approach to Linear Programming Bounds on Codes”, Probl. Peredachi Inf., 42:2 (2006), 12–25; Problems Inform. Transmission, 42:2 (2006), 77–89
Citation in format AMSBIB
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\by A.~M.~Barg, D.~Yu.~Nogin
\paper Spectral Approach to Linear Programming Bounds on
Codes
\jour Probl. Peredachi Inf.
\yr 2006
\vol 42
\issue 2
\pages 12--25
\mathnet{http://mi.mathnet.ru/ppi40}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2232886}
\transl
\jour Problems Inform. Transmission
\yr 2006
\vol 42
\issue 2
\pages 77--89
\crossref{https://doi.org/10.1134/S0032946006020025}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33745850459}
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    • This publication is cited in the following 8 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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    References:84
    First page:6
     
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