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
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;
Journal_Title :
Information Theory, IEEE Transactions on
DOI :
10.1109/TIT.2010.2050828
