New MDS Euclidean Self-orthogonal Codes
Information Theory
2019-10-01 v3 math.IT
Abstract
In this paper, a criterion of MDS Euclidean self-orthogonal codes is presented. New MDS Euclidean self-dual codes and self-orthogonal codes are constructed via this criterion. In particular, among our constructions, for large square , about new MDS Euclidean (almost) self-dual codes over can be produced. Moreover, we can construct about new MDS Euclidean self-orthogonal codes with different even lengths with dimension .
Cite
@article{arxiv.1906.00380,
title = {New MDS Euclidean Self-orthogonal Codes},
author = {Xiaolei Fang and Meiqing Liu and Jinquan Luo},
journal= {arXiv preprint arXiv:1906.00380},
year = {2019}
}