On Completely Regular Codes
- Авторы: Borges J.1, Rifà J.1, Zinoviev V.A.2
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Учреждения:
- Department of Information and Communications Engineering, School of Engineering
- Kharkevich Institute for Information Transmission Problems
- Выпуск: Том 55, № 1 (2019)
- Страницы: 1-45
- Раздел: 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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Аннотация
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.
Об авторах
J. Borges
Department of Information and Communications Engineering, School of Engineering
Автор, ответственный за переписку.
Email: joaquim.borges@uab.cat
Испания, Barcelona
J. Rifà
Department of Information and Communications Engineering, School of Engineering
Автор, ответственный за переписку.
Email: josep.rifa@uab.cat
Испания, Barcelona
V. Zinoviev
Kharkevich Institute for Information Transmission Problems
Автор, ответственный за переписку.
Email: zinov@iitp.ru
Россия, Moscow
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