Title :
Improvements on Parameters of Algebraic-Geometry Codes From Hermitian Curves
Author_Institution :
Dept. of Mat.h., East China Normal Univ., Shanghai
Abstract :
Using the Vladut-Xing method, we refine a construction of Xu to improve the parameters of algebraic-geometry codes based on Hermitian curves. The parameters of these Hermitian codes are arbitrarily close to the Singleton bound, provided that the length of the code is sufficiently large. We also exhibit a class of Hermitian codes over any finite field BBFq 2 (q > 2) with good parameters.
Keywords :
algebraic codes; geometric codes; Hermitian codes; Hermitian curves; Singleton bound; Vladut-Xing method; algebraic-geometry codes; Code standards; Concrete; Estimation theory; Galois fields; H infinity control; Information rates; Linear code; Mathematics; Modular construction; Algebraic curves; Hermitian codes; Hermitian curves; algebraic-geometry codes; asymptotic bounds;
Journal_Title :
Information Theory, IEEE Transactions on
DOI :
10.1109/TIT.2008.2008123
