Asymptotic bounds on quantum codes from algebraic geometry codes

We generalize a characterization of p-ary (p is a prime) quantum codes given by Feng and Xing to q-ary (q is a prime power) quantum codes. This characterization makes it possible to convert an asymptotic bound of Stichtenoth and Xing for nonlinear algebraic geometry codes to a quantum asymptotic bou...

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Main Authors:	Feng, Keqin, Ling, San, Xing, Chaoping
Other Authors:	School of Physical and Mathematical Sciences
Format:	Article
Language:	English
Published:	2013
Subjects:	DRNTU::Engineering::Computer science and engineering::Data::Coding and information theory
Online Access:	https://hdl.handle.net/10356/96427 http://hdl.handle.net/10220/9850
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Institution:	Nanyang Technological University
Language:	English

id	sg-ntu-dr.10356-96427
record_format	dspace
spelling	sg-ntu-dr.10356-964272023-02-28T19:22:52Z Asymptotic bounds on quantum codes from algebraic geometry codes Feng, Keqin Ling, San Xing, Chaoping School of Physical and Mathematical Sciences DRNTU::Engineering::Computer science and engineering::Data::Coding and information theory We generalize a characterization of p-ary (p is a prime) quantum codes given by Feng and Xing to q-ary (q is a prime power) quantum codes. This characterization makes it possible to convert an asymptotic bound of Stichtenoth and Xing for nonlinear algebraic geometry codes to a quantum asymptotic bound. Besides, we also investigate the asymptotic behavior of quantum codes Accepted version 2013-04-23T06:53:28Z 2019-12-06T19:30:36Z 2013-04-23T06:53:28Z 2019-12-06T19:30:36Z 2006 2006 Journal Article Feng, K., Ling, S., & Xing, C. (2006). Asymptotic bounds on quantum codes from algebraic geometry codes. IEEE Transactions on Information Theory, 52(3), 986-991. 0018-9448 https://hdl.handle.net/10356/96427 http://hdl.handle.net/10220/9850 10.1109/TIT.2005.862086 en IEEE transactions on information theory © 2006 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.2005.862086]. 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::Engineering::Computer science and engineering::Data::Coding and information theory
spellingShingle	DRNTU::Engineering::Computer science and engineering::Data::Coding and information theory Feng, Keqin Ling, San Xing, Chaoping Asymptotic bounds on quantum codes from algebraic geometry codes
description	We generalize a characterization of p-ary (p is a prime) quantum codes given by Feng and Xing to q-ary (q is a prime power) quantum codes. This characterization makes it possible to convert an asymptotic bound of Stichtenoth and Xing for nonlinear algebraic geometry codes to a quantum asymptotic bound. Besides, we also investigate the asymptotic behavior of quantum codes
author2	School of Physical and Mathematical Sciences
author_facet	School of Physical and Mathematical Sciences Feng, Keqin Ling, San Xing, Chaoping
format	Article
author	Feng, Keqin Ling, San Xing, Chaoping
author_sort	Feng, Keqin
title	Asymptotic bounds on quantum codes from algebraic geometry codes
title_short	Asymptotic bounds on quantum codes from algebraic geometry codes
title_full	Asymptotic bounds on quantum codes from algebraic geometry codes
title_fullStr	Asymptotic bounds on quantum codes from algebraic geometry codes
title_full_unstemmed	Asymptotic bounds on quantum codes from algebraic geometry codes
title_sort	asymptotic bounds on quantum codes from algebraic geometry codes
publishDate	2013
url	https://hdl.handle.net/10356/96427 http://hdl.handle.net/10220/9850
_version_	1759856433963204608

Asymptotic bounds on quantum codes from algebraic geometry codes

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