DocumentCode
1502289
Title
New classes of cyclic extended Goppa codes
Author
Berger, Thierry P.
Author_Institution
Dept. de Math., Facultes des Sci. de Limoges, France
Volume
45
Issue
4
fYear
1999
fDate
5/1/1999 12:00:00 AM
Firstpage
1264
Lastpage
1266
Abstract
We give a condition for a “classical” Goppa (1970) code to have a cyclic extension. This condition follows from the properties of the semilinear automorphism group of the corresponding generalized Reed-Solomon codes. Using this condition, we can construct not only all the known Goppa codes with a cyclic extension, but also new families
Keywords
Goppa codes; Reed-Solomon codes; cyclic codes; group theory; cyclic extended Goppa codes; generalized Reed-Solomon codes; semilinear automorphism group; H infinity control; Linear code; Sufficient conditions;
fLanguage
English
Journal_Title
Information Theory, IEEE Transactions on
Publisher
ieee
ISSN
0018-9448
Type
jour
DOI
10.1109/18.761281
Filename
761281
Link To Document