Constructions of MDS Self-dual Codes from Short length
Information Theory
2019-10-24 v3 math.IT
Abstract
Systematic constructions of MDS self-dual codes is widely concerned. In this paper, we consider the constructions of MDS Euclidean self-dual codes from short length. Indeed, the exact constructions of MDS Euclidean self-dual codes from short length () are given. In general, we construct more new of -ary MDS Euclidean self-dual codes from MDS self-dual codes of known length via generalized Reed-Solomon (GRS for short) codes and extended GRS codes.
Cite
@article{arxiv.1910.02255,
title = {Constructions of MDS Self-dual Codes from Short length},
author = {Derong Xie and Xiaolei Fang and Jinquan Luo},
journal= {arXiv preprint arXiv:1910.02255},
year = {2019}
}