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JOURNALS // Problemy Peredachi Informatsii // Archive
Probl. Peredachi Inf., 2023 Volume 59, Issue 2, Pages 3–17 (Mi ppi2394)
Coding Theory

Constructions and invariants of optimal codes in the Lee metric

I. Yu. Mogilnykha, F. I. Solov'eva

a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk

Abstract: We propose concatenation and switching methods for the construction of single error-correcting perfect and diameter codes in the Lee metric. We analyze ranks and kernels of diameter perfect codes obtained by the switching construction.

Keywords: Lee metric, perfect code, diameter perfect code, Vasil’ev code, Mollard code, concatenation construction.

UDC: 621.291 : 519.725

Received: 07.06.2023
Revised: 20.10.2023
Accepted: 23.10.2023

DOI: 10.31857/S0555292323020018


 English version: Problems of Information Transmission, 2023, 59:2, 71–85

© Steklov Math. Inst. of RAS, 2025