LCD Codes over 𝔽_q + v𝔽_q+ v²𝔽_q+ ⋯ + v^m-1𝔽_q

DOI

10.2991/assehr.k.210508.045How to use a DOI?

Keywords

Dual codes, Gray map, Linear codes, LCD codes

Abstract

In this article, we study linear codes with complementary dual (LCD codes) over the ring 𝔽q + v𝔽q+ v2𝔽q+ ⋯ + vm-1𝔽q, where q = ps; p is an odd prime, s is a positive integer, and vm = v; which generalize the observation of Melakhessou et al. (2018). We give necessary and sufficient conditions on the existence of LCD codes and present a method of construction of LCD codes from a combinatorial object, namely from weighing matrices. Several concrete examples are also provided.

Copyright

© 2021, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - CONF
AU  - Faldy Tita
AU  - Djoko Suprijanto
PY  - 2021
DA  - 2021/05/11
TI  - LCD Codes over 𝔽q + v𝔽q+ v²𝔽q+ ⋯ + vm-¹𝔽q
BT  - Proceedings of the 1st International Conference on Mathematics and Mathematics Education (ICMMEd 2020)
PB  - Atlantis Press
SP  - 78
EP  - 82
SN  - 2352-5398
UR  - https://doi.org/10.2991/assehr.k.210508.045
DO  - 10.2991/assehr.k.210508.045
ID  - Tita2021
ER  -