DocumentCode
824914
Title
Improvement on parameters of Goppa geometry codes from maximal curves using the Vla˘dut-Xing method
Author
Xu, Lanju
Author_Institution
Dept. of Math., Tsinghua Univ., Beijing
Volume
51
Issue
6
fYear
2005
fDate
6/1/2005 12:00:00 AM
Firstpage
2207
Lastpage
2210
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;
fLanguage
English
Journal_Title
Information Theory, IEEE Transactions on
Publisher
ieee
ISSN
0018-9448
Type
jour
DOI
10.1109/TIT.2005.847735
Filename
1435663
Link To Document