New MDS Self-dual Codes over Finite Fields of Odd Characteristic
Information Theory
2019-09-04 v9 math.IT
Abstract
In this paper, we produce new classes of MDS self-dual codes via (extended) generalized Reed-Solomon codes over finite fields of odd characteristic. Among our constructions, there are many MDS self-dual codes with new parameters which have never been reported. For odd prime power with square, the total number of lengths for MDS self-dual codes over presented in this paper is much more than those in all the previous results.
Cite
@article{arxiv.1811.02802,
title = {New MDS Self-dual Codes over Finite Fields of Odd Characteristic},
author = {Xiaolei Fang and Khawla Lebed and Hongwei Liu and Jinquan Luo},
journal= {arXiv preprint arXiv:1811.02802},
year = {2019}
}