Entanglement-assisted quantum MDS codes constructed from constacyclic codes
Information Theory
2018-03-02 v1 math.IT
Abstract
Recently, entanglement-assisted quantum error correcting codes (EAQECCs) have been constructed by cyclic codes and negacyclic codes. In this paper, by analyzing the cyclotomic cosets in the defining set of constacyclic codes, we constructed three classes of new EAQECCs which satisfy the entanglement-assisted quantum Singleton bound. Besides, three classes of EAQECCs with maximal entanglement from constacyclic codes are constructed in the meanwhile.
Keywords
Cite
@article{arxiv.1803.00262,
title = {Entanglement-assisted quantum MDS codes constructed from constacyclic codes},
author = {Xiaojing Chen and Shixin Zhu and Xiaoshan Kai},
journal= {arXiv preprint arXiv:1803.00262},
year = {2018}
}