Title :
Quantum Codes of Minimum Distance Three Constructed from Binary Codes of Odd Length
Author :
Li, Ruihu ; Chen, Gang
Author_Institution :
Dept. of Appl. Math. & Phys., Air Force Eng. Univ., Xi´´an, China
Abstract :
We give elementary recursive constructions of a pair of nested binary self-orthogonal codes with dual distance two and three for all odd n ¿ 11. Consequently, good quantum codes of minimum distance three for such length n are obtained via Steane´s construction. Such quantum codes were explicitly constructed before only for a sparse set of lengths.
Keywords :
binary codes; error correction codes; orthogonal codes; error correction codes; nested binary self-orthogonal codes; odd length; quantum codes; Binary codes; Educational institutions; Electronic mail; Error correction codes; Mathematics; Physics; Quantum mechanics; Sparse matrices; binary code; quantum error correcting code; self-orthogonal code;
Conference_Titel :
Future Networks, 2010. ICFN '10. Second International Conference on
Conference_Location :
Sanya, Hainan
Print_ISBN :
978-0-7695-3940-9
Electronic_ISBN :
978-1-4244-5667-3
DOI :
10.1109/ICFN.2010.20
