Generalization of Steane’s enlargement construction of quantum codes and applications

Generalization of Steane’s enlargement construction of quantum codes and applications

We generalize Steane’s enlargement construction of binary quantum codes to q-ary quantum codes. We then apply this result to BCH codes and the study of asymptotic bounds, and obtain improvements to the quantum BCH codes constructed by Aly and Klappenecker and the quantum asymptotic bounds from algeb...

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Main Authors: Ling, San, Luo, Jinquan, Xing, Chaoping
Other Authors: School of Physical and Mathematical Sciences
Format: Article
Language:English
Published: 2012
Subjects:
DRNTU::Science::Mathematics
Online Access:https://hdl.handle.net/10356/94258
http://hdl.handle.net/10220/7714
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Institution: Nanyang Technological University
Language: English
id sg-ntu-dr.10356-94258
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spelling sg-ntu-dr.10356-942582023-02-28T19:38:58Z Generalization of Steane’s enlargement construction of quantum codes and applications Ling, San Luo, Jinquan Xing, Chaoping School of Physical and Mathematical Sciences DRNTU::Science::Mathematics We generalize Steane’s enlargement construction of binary quantum codes to q-ary quantum codes. We then apply this result to BCH codes and the study of asymptotic bounds, and obtain improvements to the quantum BCH codes constructed by Aly and Klappenecker and the quantum asymptotic bounds from algebraic geometry codes obtained by Feng, Ling and Xing. Accepted version 2012-04-11T02:54:35Z 2019-12-06T18:53:23Z 2012-04-11T02:54:35Z 2019-12-06T18:53:23Z 2010 2010 Journal Article Ling, S., Luo, J., & Xing, C. (2010). Generalization of Steane’s enlargement construction of quantum codes and applications. IEEE Transactions on Information Theory, 56(8), 4080-4084. https://hdl.handle.net/10356/94258 http://hdl.handle.net/10220/7714 10.1109/TIT.2010.2050828 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.2010.2050828 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::Mathematics
spellingShingle DRNTU::Science::Mathematics
Ling, San
Luo, Jinquan
Xing, Chaoping
Generalization of Steane’s enlargement construction of quantum codes and applications
description We generalize Steane’s enlargement construction of binary quantum codes to q-ary quantum codes. We then apply this result to BCH codes and the study of asymptotic bounds, and obtain improvements to the quantum BCH codes constructed by Aly and Klappenecker and the quantum asymptotic bounds from algebraic geometry codes obtained by Feng, Ling and Xing.
author2 School of Physical and Mathematical Sciences
author_facet School of Physical and Mathematical Sciences
Ling, San
Luo, Jinquan
Xing, Chaoping
format Article
author Ling, San
Luo, Jinquan
Xing, Chaoping
author_sort Ling, San
title Generalization of Steane’s enlargement construction of quantum codes and applications
title_short Generalization of Steane’s enlargement construction of quantum codes and applications
title_full Generalization of Steane’s enlargement construction of quantum codes and applications
title_fullStr Generalization of Steane’s enlargement construction of quantum codes and applications
title_full_unstemmed Generalization of Steane’s enlargement construction of quantum codes and applications
title_sort generalization of steane’s enlargement construction of quantum codes and applications
publishDate 2012
url https://hdl.handle.net/10356/94258
http://hdl.handle.net/10220/7714
_version_ 1759855265119731712

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