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Problemy Peredachi Informatsii, 2019, Volume 55, Issue 1, Pages 3–50
DOI: https://doi.org/10.1134/S0134347519010017 (Mi ppi2283) 		 
This article is cited in 23 scientific papers (total in 23 papers)

Coding Theory

On completely regular codes

J. Borgesa, J. Rifàa, V. A. Zinovievb

a Department of Information and Communications Engineering, School of Engineering, Universitat Autonoma de Barcelona, Bellaterra, Barcelona, Spain
b Kharkevich Institute for Information Transmission Problems, Russian Academy of Sciences, Moscow, Russia
Full-text PDF (496 kB) Citations (23)
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DOI: https://doi.org/10.1134/S0134347519010017
Abstract: This work is a survey on completely regular codes. Known properties, relations with other combinatorial structures, and construction methods are considered. The existence problem is also discussed, and known results for some particular cases are established. In addition, we present several new results on completely regular codes with covering radius $\rho=2$ and on extended completely regular codes.
Funding agency Grant number
Russian Foundation for Basic Research 19-01-00364
Federación Española de Enfermedades Raras TIN2016-77918-P
Received: 22.12.2018
Revised: 06.02.2019
Accepted: 11.02.2019
English version:
Problems of Information Transmission, 2019, Volume 55, Issue 1, Pages 1–45
DOI: https://doi.org/10.1134/S0032946019010010
Bibliographic databases:
Document Type: Article
UDC: 621.391.15
Language: Russian
Citation: J. Borges, J. Rifà, V. A. Zinoviev, “On completely regular codes”, Probl. Peredachi Inf., 55:1 (2019), 3–50; Problems Inform. Transmission, 55:1 (2019), 1–45
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/ppi/v55/i1/p3
    Erratum
    This publication is cited in the following 23 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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    Abstract page:348
    Full-text PDF :82
    References:36
    First page:17
     
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