New Quantum MDS Codes over Finite Fields
Information Theory
2019-09-18 v3 math.IT
Abstract
In this paper, we present three new classes of -ary quantum MDS codes utilizing generalized Reed-Solomon codes satisfying Hermitian self-orthogonal property. Among our constructions, the minimum distance of some -ary quantum MDS codes can be bigger than . Comparing to previous known constructions, the lengths of codes in our constructions are more flexible.
Cite
@article{arxiv.1904.12441,
title = {New Quantum MDS Codes over Finite Fields},
author = {Xiaolei Fang and Jinquan Luo},
journal= {arXiv preprint arXiv:1904.12441},
year = {2019}
}