Title :
Asymptotic bounds on quantum codes from algebraic geometry codes
Author :
Feng, Keqin ; Ling, San ; Xing, Chaoping
Author_Institution :
Dept. of Math. Sci., Tsinghua Univ., Beijing
fDate :
3/1/2006 12:00:00 AM
Abstract :
We generalize a characterization of p-ary (p is a prime) quantum codes given by Feng and Xing to q-ary (q is a prime power) quantum codes. This characterization makes it possible to convert an asymptotic bound of Stichtenoth and Xing for nonlinear algebraic geometry codes to a quantum asymptotic bound. Besides, we also investigate the asymptotic behavior of quantum codes
Keywords :
algebraic geometric codes; nonlinear codes; algebraic geometry code; asymptotic bound; nonlinear code; p-ary quantum code; propagation rule; Chaos; Codes; Galois fields; Geometry; H infinity control; Linear programming; Mathematics; Quantum mechanics; Tensile stress; Upper bound; Algebraic-geometry codes; asymptotic behavior; propagation rules;
Journal_Title :
Information Theory, IEEE Transactions on
DOI :
10.1109/TIT.2005.862086
