Three quantum error-correcting codes constructed from self-orthogonal codes over GF(4)

Author

Ma, Yuena ; Li, Ruihu ; Zhao, Xuejun ; Feng, Youqian

Author_Institution

Air Force Eng. Univ., Xi´´an

fYear

2007

fDate

Nov. 28 2007-Dec. 1 2007

Firstpage

786

Lastpage

789

Abstract

A heuristic algorithm is designed to searching for good higher dimensional self-orthogonal codes over GF(A) from low dimensional self-orthogonal codes. Many self-orthogonal codes of length 20 les n les 36 and dual distance 5 or 6 are obtained, and several have improved dual distance. Consequently, using these self-orthogonal codes and their dual codes, some linear quantum codes of minimum distance five or six for such length n are obtained, and three of these codes [[24, 8, 5]], [[25, 9, 5]], [[27, 7, 6]] are record-breaking. Quaternary code, self-orthogonal code, linear quantum error-correcting code.

Keywords

error correction codes; orthogonal codes; quantum theory; heuristic algorithm; quantum error-correcting code; quaternary code; self-orthogonal code; Algorithm design and analysis; Communication systems; Educational institutions; Error correction codes; Heuristic algorithms; Mathematics; Physics; Quantum mechanics; Signal processing algorithms; Vectors;

fLanguage

English

Publisher

ieee

Conference_Titel

Intelligent Signal Processing and Communication Systems, 2007. ISPACS 2007. International Symposium on

Conference_Location

Xiamen

Print_ISBN

978-1-4244-1447-5

Electronic_ISBN

978-1-4244-1447-5

Type

conf

DOI

10.1109/ISPACS.2007.4446005

Filename

4446005