Email this article On Completely Regular Codes
- Authors: Borges J.1, Rifà J.1, Zinoviev V.A.2
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Affiliations:
- Department of Information and Communications Engineering, School of Engineering
- Kharkevich Institute for Information Transmission Problems
- Issue: Vol 55, No 1 (2019)
- Pages: 1-45
- Section: 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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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 ρ = 2 and on extended completely regular codes.
About the authors
J. Borges
Department of Information and Communications Engineering, School of Engineering
Author for correspondence.
Email: joaquim.borges@uab.cat
Spain, Barcelona
J. Rifà
Department of Information and Communications Engineering, School of Engineering
Author for correspondence.
Email: josep.rifa@uab.cat
Spain, Barcelona
V. A. Zinoviev
Kharkevich Institute for Information Transmission Problems
Author for correspondence.
Email: zinov@iitp.ru
Russian Federation, Moscow
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