On Euclidean Hulls of MDS Codes
Information Theory
2019-10-24 v3 math.IT
Abstract
In this paper, we propose a mechanism on the constructions of MDS codes with arbitrary dimensions of Euclidean hulls. Precisely, we construct (extended) generalized Reed-Solomon(GRS) codes with assigned dimensions of Euclidean hulls from self-orthogonal GRS codes. It turns out that our constructions are more general than previous works on Euclidean hulls of (extended) GRS codes.
Keywords
Cite
@article{arxiv.1908.01173,
title = {On Euclidean Hulls of MDS Codes},
author = {Xiaolei Fang and Meiqing Liu and Jinquan Luo},
journal= {arXiv preprint arXiv:1908.01173},
year = {2019}
}