Title :
Improved Approach to Algebraic-Geometric Codes
Author_Institution :
Dept. of Math., Anqing Teachers´´ Coll., Anqing, China
Abstract :
Improved approach to the bounds of the minimum distance of algebraic-geometric codes is presented. One, by a class of examples from algebraic-geometric codes on Hermitian curves, shows that the Goppa´s standard lower bound of the codes can be improved significantly in some cases. Further, one gives the upper bound of the minimum distance of the codes as well, and shows that our lower bound is very close to our upper bound.
Keywords :
Goppa codes; Hermitian matrices; algebraic geometric codes; Goppa standard lower bound; Hermitian curves; algebraic-geometric codes; minimum distance bounds; Algebra; Code standards; Combinatorial mathematics; Educational institutions; Electronic commerce; Geometry; Laboratories; Linear code; Mobile communication; Upper bound; algebraic-geometric code; minimum distance;
Conference_Titel :
Electronic Commerce and Business Intelligence, 2009. ECBI 2009. International Conference on
Conference_Location :
Beijing
Print_ISBN :
978-0-7695-3661-3
DOI :
10.1109/ECBI.2009.10
