Application of classical Hermitian self-orthogonal MDS codes to quantum MDS codes

Application of classical Hermitian self-orthogonal MDS codes to quantum MDS codes

In this paper, we first construct several classes of classical Hermitian self-orthogonal MDS codes. Through these classical codes, we are able to obtain various quantum MDS codes. It turns out that many of our quantum codes are new in the sense that the parameters of our quantum codes cannot be obta...

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Main Authors: Jin, Lingfei, Ling, San, Luo, Jinquan, Xing, Chaoping
Other Authors: School of Physical and Mathematical Sciences
Format: Article
Language:English
Published: 2012
Subjects:
DRNTU::Science::Chemistry::Physical chemistry::Quantum chemistry
Online Access:https://hdl.handle.net/10356/94049
http://hdl.handle.net/10220/7706
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Institution: Nanyang Technological University
Language: English
id sg-ntu-dr.10356-94049
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spelling sg-ntu-dr.10356-940492023-02-28T19:38:05Z Application of classical Hermitian self-orthogonal MDS codes to quantum MDS codes Jin, Lingfei Ling, San Luo, Jinquan Xing, Chaoping School of Physical and Mathematical Sciences DRNTU::Science::Chemistry::Physical chemistry::Quantum chemistry In this paper, we first construct several classes of classical Hermitian self-orthogonal MDS codes. Through these classical codes, we are able to obtain various quantum MDS codes. It turns out that many of our quantum codes are new in the sense that the parameters of our quantum codes cannot be obtained from all previous constructions. Accepted version 2012-04-10T08:05:47Z 2019-12-06T18:49:55Z 2012-04-10T08:05:47Z 2019-12-06T18:49:55Z 2010 2010 Journal Article Jin, L., Ling, S., Luo, J., & Xing, C. (2010). Application of classical Hermitian self-orthogonal MDS codes to quantum MDS codes. IEEE Transactions on Information Theory, 56 (9), 4735-4740. https://hdl.handle.net/10356/94049 http://hdl.handle.net/10220/7706 10.1109/TIT.2010.2054174 en IEEE transactions on information theory © 2010 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works. The published version is available at: http://dx.doi.org/10.1109/TIT.2010.2054174. 5 p. application/pdf
institution Nanyang Technological University
building NTU Library
continent Asia
country Singapore
Singapore
content_provider NTU Library
collection DR-NTU
language English
topic DRNTU::Science::Chemistry::Physical chemistry::Quantum chemistry
spellingShingle DRNTU::Science::Chemistry::Physical chemistry::Quantum chemistry
Jin, Lingfei
Ling, San
Luo, Jinquan
Xing, Chaoping
Application of classical Hermitian self-orthogonal MDS codes to quantum MDS codes
description In this paper, we first construct several classes of classical Hermitian self-orthogonal MDS codes. Through these classical codes, we are able to obtain various quantum MDS codes. It turns out that many of our quantum codes are new in the sense that the parameters of our quantum codes cannot be obtained from all previous constructions.
author2 School of Physical and Mathematical Sciences
author_facet School of Physical and Mathematical Sciences
Jin, Lingfei
Ling, San
Luo, Jinquan
Xing, Chaoping
format Article
author Jin, Lingfei
Ling, San
Luo, Jinquan
Xing, Chaoping
author_sort Jin, Lingfei
title Application of classical Hermitian self-orthogonal MDS codes to quantum MDS codes
title_short Application of classical Hermitian self-orthogonal MDS codes to quantum MDS codes
title_full Application of classical Hermitian self-orthogonal MDS codes to quantum MDS codes
title_fullStr Application of classical Hermitian self-orthogonal MDS codes to quantum MDS codes
title_full_unstemmed Application of classical Hermitian self-orthogonal MDS codes to quantum MDS codes
title_sort application of classical hermitian self-orthogonal mds codes to quantum mds codes
publishDate 2012
url https://hdl.handle.net/10356/94049
http://hdl.handle.net/10220/7706
_version_ 1759853358535933952

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