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
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;
Journal_Title :
Information Theory, IEEE Transactions on
DOI :
10.1109/TIT.2005.851760
