Quantum codes from concatenated algebraic-geometric codes
We apply Steane's enlargement of the Calderbank-Shor-Steane (CSS) codes and additive codes over F4 to concatenated algebraic-geometric codes to construct many good quantum codes with fewer restrictions on the parameters compared to some known quantum codes. Some of the quantum codes we have con...
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sg-ntu-dr.10356-963202023-02-28T19:39:53Z Quantum codes from concatenated algebraic-geometric codes Chen, Hao Ling, San Xing, Chaoping School of Physical and Mathematical Sciences DRNTU::Science::Mathematics::Geometry We apply Steane's enlargement of the Calderbank-Shor-Steane (CSS) codes and additive codes over F4 to concatenated algebraic-geometric codes to construct many good quantum codes with fewer restrictions on the parameters compared to some known quantum codes. Some of the quantum codes we have constructed are either optimal or have parameters as good as the best known codes, while some have parameters better than those obtained from other known constructions. Accepted version 2013-04-22T03:30:07Z 2019-12-06T19:28:52Z 2013-04-22T03:30:07Z 2019-12-06T19:28:52Z 2005 2005 Journal Article Chen, H., Ling, S., & Xing, C. (2005). Quantum Codes From Concatenated Algebraic-Geometric Codes. IEEE Transactions on Information Theory, 51(8), 2915-2920. 0018-9448 https://hdl.handle.net/10356/96320 http://hdl.handle.net/10220/9843 10.1109/TIT.2005.851760 en IEEE transactions on information theory © 2005 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.2005.851760]. application/pdf |
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DRNTU::Science::Mathematics::Geometry Chen, Hao Ling, San Xing, Chaoping Quantum codes from concatenated algebraic-geometric codes |
| description |
We apply Steane's enlargement of the Calderbank-Shor-Steane (CSS) codes and additive codes over F4 to concatenated algebraic-geometric codes to construct many good quantum codes with fewer restrictions on the parameters compared to some known quantum codes. Some of the quantum codes we have constructed are either optimal or have parameters as good as the best known codes, while some have parameters better than those obtained from other known constructions. |
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School of Physical and Mathematical Sciences |
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School of Physical and Mathematical Sciences Chen, Hao Ling, San Xing, Chaoping |
| format |
Article |
| author |
Chen, Hao Ling, San Xing, Chaoping |
| author_sort |
Chen, Hao |
| title |
Quantum codes from concatenated algebraic-geometric codes |
| title_short |
Quantum codes from concatenated algebraic-geometric codes |
| title_full |
Quantum codes from concatenated algebraic-geometric codes |
| title_fullStr |
Quantum codes from concatenated algebraic-geometric codes |
| title_full_unstemmed |
Quantum codes from concatenated algebraic-geometric codes |
| title_sort |
quantum codes from concatenated algebraic-geometric codes |
| publishDate |
2013 |
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https://hdl.handle.net/10356/96320 http://hdl.handle.net/10220/9843 |
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