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Constructions and Invariants of Optimal Codes in the Lee Metric Full article

Journal Problems of Information Transmission
ISSN: 0032-9460 , E-ISSN: 1608-3253
Output data Year: 2023, Volume: 59, Number: 2, Pages: 71-85 Pages count : 15 DOI: 10.1134/s0032946023020011
Tags Lee metric, perfect code, diameter perfect code, Vasil’ev code, Mollard code, concatenation construction
Authors Mogilnykh I.Yu. 1 , Solov’eva F.I. 1
Affiliations
1 Sobolev Institute of Mathematics of the Siberian Branch of the Russian Academy of Sciences

Funding (1)

1 Russian Science Foundation 22-21-00135

Abstract: We propose concatenation and switching methods for the construction of singleerror-correcting perfect and diameter codes in the Lee metric. We analyze ranks and kernels of diameter perfect codes obtained by the switching construction.
Cite: Mogilnykh I.Y. , Solov’eva F.I.
Constructions and Invariants of Optimal Codes in the Lee Metric
Problems of Information Transmission. 2023. V.59. N2. P.71-85. DOI: 10.1134/s0032946023020011 WOS Scopus РИНЦ OpenAlex
Original: Могильных И.Ю. , Соловьева Ф.И.
Конструкции и инварианты оптимальных кодов в метрике Ли
Проблемы передачи информации. 2023. Т.59. №2. С.3-17. DOI: 10.31857/S0555292323020018 РИНЦ OpenAlex
Dates:
Submitted: Jun 7, 2023
Accepted: Oct 23, 2023
Published print: Dec 23, 2023
Published online: Dec 23, 2023
Identifiers:
Web of science: WOS:001129528300001
Scopus: 2-s2.0-85180419581
Elibrary: 64752513
OpenAlex: W4390148081
Citing: Пока нет цитирований
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