Entanglement-assisted Quantum MDS Codes from generalized Reed-Solomon Codes
Information Theory
2020-08-27 v4 math.IT
Abstract
In this paper, we produce some new classes of entanglement-assisted quantum MDS codes(EAQMDS codes for short) via generalized Reed-Solomon codes over finite fields of odd characteristic. Among our constructions, there are many EAQMDS codes with new lengths which have never been reported. Moreover, some of them have larger minimum distance than known results.
Cite
@article{arxiv.1910.06769,
title = {Entanglement-assisted Quantum MDS Codes from generalized Reed-Solomon Codes},
author = {Renjie Jin and Yiran Cao and Jinquan Luo},
journal= {arXiv preprint arXiv:1910.06769},
year = {2020}
}
Comments
13 pages. arXiv admin note: text overlap with arXiv:1909.07234