DocumentCode
1534280
Title
Generalization of Steane´s Enlargement Construction of Quantum Codes and Applications
Author
Ling, San ; Luo, Jinquan ; Xing, Chaoping
Author_Institution
Div. of Math. Sci., Nanyang Technol. Univ., Singapore, Singapore
Volume
56
Issue
8
fYear
2010
Firstpage
4080
Lastpage
4084
Abstract
We generalize Steane´s enlargement construction of binary quantum codes to q-ary quantum codes. We then apply this result to BCH codes and the study of asymptotic bounds, and obtain improvements to the quantum BCH codes constructed by Aly and Klappenecker and the quantum asymptotic bounds from algebraic geometry codes obtained by Feng, Ling, and Xing.
Keywords
BCH codes; binary codes; BCH codes; Steane enlargement construction; algebraic geometry codes; binary quantum codes; q-ary quantum codes; quantum asymptotic bound; Block codes; Chaos; Galois fields; Geometry; Hamming weight; Information theory; Linear code; Quantum mechanics; Vectors; Algebraic geometry codes; BCH codes; asymptotic bounds; enlargement; self-orthogonal;
fLanguage
English
Journal_Title
Information Theory, IEEE Transactions on
Publisher
ieee
ISSN
0018-9448
Type
jour
DOI
10.1109/TIT.2010.2050828
Filename
5508639
Link To Document