On Completely Regular Codes
- Autores: Borges J.1, Rifà J.1, Zinoviev V.A.2
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Afiliações:
- Department of Information and Communications Engineering, School of Engineering
- Kharkevich Institute for Information Transmission Problems
- Edição: Volume 55, Nº 1 (2019)
- Páginas: 1-45
- Seção: Coding Theory
- URL: https://journal-vniispk.ru/0032-9460/article/view/166569
- DOI: https://doi.org/10.1134/S0032946019010010
- ID: 166569
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Resumo
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 ρ = 2 and on extended completely regular codes.
Sobre autores
J. Borges
Department of Information and Communications Engineering, School of Engineering
Autor responsável pela correspondência
Email: joaquim.borges@uab.cat
Espanha, Barcelona
J. Rifà
Department of Information and Communications Engineering, School of Engineering
Autor responsável pela correspondência
Email: josep.rifa@uab.cat
Espanha, Barcelona
V. Zinoviev
Kharkevich Institute for Information Transmission Problems
Autor responsável pela correspondência
Email: zinov@iitp.ru
Rússia, Moscow
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