Title :
Improvement on parameters of Goppa geometry codes from maximal curves using the Vla˘dut-Xing method
Author_Institution :
Dept. of Math., Tsinghua Univ., Beijing
fDate :
6/1/2005 12:00:00 AM
Abstract :
In the present correspondence, an idea of Xing and Chen is used to improve the parameters of Goppa geometry codes from maximal curves. It is shown that we can improve the parameters of Goppa geometry codes almost up to the genus of a maximal curve
Keywords :
Goppa codes; geometric codes; group codes; polynomials; rational functions; Goppa geometry code; Vladut-Xing method; class group; maximal curve; parameter improvement; Codes; Elliptic curves; Estimation theory; Geometry; Mathematics; Polynomials; Bounds; Goppa geometry codes; class group; divisors; maximal curves;
Journal_Title :
Information Theory, IEEE Transactions on
DOI :
10.1109/TIT.2005.847735
