曹喜望
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Two new families of entanglement-assisted quantum MDS codes from generalized Reed?Solomon codes
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Affiliation of Author(s):理学院

Journal:Quantum Inf. Process.

Abstract:Entanglement-assisted quantum error-correcting codes (EAQECCs) make use of preexisting entanglement between the sender and receiver to boost the rate of transmission. It is possible to construct an EAQECC by any classical linear code. In this paper, we propose two constructions of generalized Reed–Solomon codes and calculate the dimension of their hulls. With these generalized Reed–Solomon codes, we present two new infinite families of EAQECCs, which are optimal with respect to the Singleton bound for EAQECCs. Notably, the parameters of our EAQECCs are new and flexible. © 2019, Springer Science+Business Media, LLC, part of Springer Nature.

ISSN No.:1570-0755

Translation or Not:no

Date of Publication:2019-03-01

Co-author:Luo, Gaojun

Correspondence Author:Luo, Gaojun,cxw

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Professor
Supervisor of Doctorate Candidates

Gender:Male

Education Level:北京大学

Degree:Doctoral Degree in Science

School/Department:College of Science

Discipline:Basic Mathematics. Applied Mathematics. Mathematics

Contact Information:http://faculty.nuaa.edu.cn/cxw1/zh_CN/index.htm

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