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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Bibliographic Details
Main Authors: Chen, Hao, Ling, San, Xing, Chaoping
Other Authors: School of Physical and Mathematical Sciences
Format: Article
Language:English
Published: 2013
Subjects:
Online Access:https://hdl.handle.net/10356/96320
http://hdl.handle.net/10220/9843
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Institution: Nanyang Technological University
Language: English
Description
Summary: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.