DocumentCode
1253343
Title
On Weierstrass semigroups and the redundancy of improved geometric Goppa codes
Author
Pellikaan, Ruud ; Torres, Fernando
Author_Institution
Dept. of Math. & Comput. Sci., Eindhoven Univ. of Technol., Netherlands
Volume
45
Issue
7
fYear
1999
fDate
11/1/1999 12:00:00 AM
Firstpage
2512
Lastpage
2519
Abstract
Improved geometric Goppa codes have a smaller redundancy and the same bound on the minimum distance as ordinary algebraic-geometry codes. For an asymptotically good sequence of function fields we give a formula for the redundancy
Keywords
Goppa codes; algebraic geometric codes; group theory; redundancy; Weierstrass semigroups; algebraic-geometry codes; asymptotically good sequence; bound; function fields; improved geometric Goppa codes; minimum distance; redundancy; Decoding; Equations; Error correction; Error correction codes; Galois fields; Geometry; Poles and towers; Redundancy; Testing; Voting;
fLanguage
English
Journal_Title
Information Theory, IEEE Transactions on
Publisher
ieee
ISSN
0018-9448
Type
jour
DOI
10.1109/18.796393
Filename
796393
Link To Document