New Quantum MDS codes from Hermitian self-orthogonal generalized Reed-Solomon codes
Information Theory
2023-07-11 v6 math.IT
Abstract
Quantum maximum-distance-separable (MDS for short) codes are an important class of quantum codes. In this paper, by using Hermitian self-orthogonal generalized Reed-Solomon (GRS for short) codes, we construct five new classes of -ary quantum MDS codes with minimum distance larger than . Furthermore, the parameters of our quantum MDS code cannot be obtained from the previous constructions.
Cite
@article{arxiv.2302.06169,
title = {New Quantum MDS codes from Hermitian self-orthogonal generalized Reed-Solomon codes},
author = {Ruhao Wan and Shixin Zhu},
journal= {arXiv preprint arXiv:2302.06169},
year = {2023}
}
Comments
19 pages, 3 tables