Lee distance of cyclic and (1 + uγ)-constacyclic codes of length 2 over F2m+uF2m

Autor:	Hai Q. Dinh, Nilay Kumar Mondal, Pramod Kumar Kewat
Rok vydání:	2021
Předmět:	Combinatorics Discrete mathematics Trace (linear algebra) Discrete Mathematics and Combinatorics Lee distance Element (category theory) Orthogonal basis Theoretical Computer Science Integer (computer science) Mathematics
Zdroj:	Discrete Mathematics. 344:112551
ISSN:	0012-365X
DOI:	10.1016/j.disc.2021.112551
Popis:	Let m be a positive integer, and γ be a non-zero element of F 2 m . The Lee distance of all cyclic codes and ( 1 + u γ ) -constacyclic codes of length 2 s over F 2 m + u F 2 m is completely determined. In particular, it is shown that the Lee distance of such codes is independent of the choice of a trace orthogonal basis of F 2 m .
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::a1b9a7b7538f5f1379c935451ea96357 https://doi.org/10.1016/j.disc.2021.112551 Zobrazit plný text záznamu Full Text from ScienceDirect