New entanglement-assisted quantum MDS codes with length $n=\frac{q^2+1}5$
Information Theory
2019-11-20 v1 math.IT
Abstract
The entanglement-assisted stabilizer formalism can transform arbitrary classical linear codes into entanglement-assisted quantum error correcting codes (EAQECCs). In this work, we construct some new entanglement-assisted quantum MDS (EAQMDS) codes with length from cyclic codes. Compared with all the previously known parameters with the same length, all of them have flexible parameters and larger minimum distance.
Keywords
Cite
@article{arxiv.1911.08416,
title = {New entanglement-assisted quantum MDS codes with length $n=\frac{q^2+1}5$},
author = {Shixin Zhu and Wan Jiang and Xiaojing Chen},
journal= {arXiv preprint arXiv:1911.08416},
year = {2019}
}