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Problemy Peredachi Informatsii, 2009, Volume 45, Issue 2, Pages 84–90 (Mi ppi1980)  

This article is cited in 10 scientific papers (total in 10 papers)

Coding Theory

Local and interweight spectra of completely regular codes and of perfect colorings

A. Yu. Vasil'eva

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
References:
Abstract: We introduce notions of local and interweight spectra of an arbitrary coloring of a Boolean cube, which generalize the notion of a weight spectrum. The main objects of our research are colorings that are called perfect. We establish an interrelation of local spectra of such a coloring in two orthogonal faces of a Boolean cube and study properties of the interweight spectrum. Based on this, we prove a new metric property of perfect colorings, namely, their strong distance invariance. As a consequence, we obtain an analogous property of an arbitrary completely regular code, which, together with his neighborhoods, forms a perfect coloring.
Received: 29.12.2008
English version:
Problems of Information Transmission, 2009, Volume 45, Issue 2, Pages 151–157
DOI: https://doi.org/10.1134/S0032946009020069
Bibliographic databases:
Document Type: Article
UDC: 621.391.15
Language: Russian
Citation: A. Yu. Vasil'eva, “Local and interweight spectra of completely regular codes and of perfect colorings”, Probl. Peredachi Inf., 45:2 (2009), 84–90; Problems Inform. Transmission, 45:2 (2009), 151–157
Citation in format AMSBIB
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\jour Probl. Peredachi Inf.
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\jour Problems Inform. Transmission
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\pages 151--157
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  • This publication is cited in the following 10 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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