On Codes over $\mathbb{F}_{q}+v\mathbb{F}_{q}+v^{2}\mathbb{F}_{q}$
Information Theory
2017-04-13 v1 math.IT
Rings and Algebras
Abstract
In this paper we investigate linear codes with complementary dual (LCD) codes and formally self-dual codes over the ring , where , for odd. We give conditions on the existence of LCD codes and present construction of formally self-dual codes over . Further, we give bounds on the minimum distance of LCD codes over and extend these to codes over .
Cite
@article{arxiv.1704.03519,
title = {On Codes over $\mathbb{F}_{q}+v\mathbb{F}_{q}+v^{2}\mathbb{F}_{q}$},
author = {A. Melakhessou and K. Guenda and T. A. Gulliver and M. Shi and P. Solé},
journal= {arXiv preprint arXiv:1704.03519},
year = {2017}
}
Comments
19 pages