DocumentCode
1001188
Title
Quantum codes from concatenated algebraic-geometric codes
Author
Chen, Hao ; Ling, San ; Xing, Chaoping
Author_Institution
Dept. of Comput. & Inf. Technol., Fudan Univ., Shanghai, China
Volume
51
Issue
8
fYear
2005
Firstpage
2915
Lastpage
2920
Abstract
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.
Keywords
algebraic geometric codes; concatenated codes; error correction codes; CSS enlargement; Calderbank-Shor-Steane code; additive code; concatenated algebraic-geometric code; quantum code; Cascading style sheets; Chaos; Concatenated codes; Error correction codes; Galois fields; Information science; Information technology; Mathematics; Physics; Quantum mechanics; Algebraic-geometric codes; concatenated codes; enlargement of the Calderbank–Shor–Steane (CSS) codes; quantum error-correcting codes;
fLanguage
English
Journal_Title
Information Theory, IEEE Transactions on
Publisher
ieee
ISSN
0018-9448
Type
jour
DOI
10.1109/TIT.2005.851760
Filename
1468312
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