DocumentCode :
930607
Title :
Symmetries of binary Goppa codes (Corresp.)
Author :
Moreno, Oscar
Volume :
25
Issue :
5
fYear :
1979
fDate :
9/1/1979 12:00:00 AM
Firstpage :
609
Lastpage :
612
Abstract :
It is known that extended Goppa cedes are invariant under the group of transformations 
, with 
. This invariance is used here to classify cubic and quartic irreducible Goppa codes and to investigate their symmetry groups. A computer has been used to determine the actual group of the codes of length 33 (for cubics and quarries). It has been said, concerning the trends in symmetry groups with respect to the Gilbert bound, that "a good family of codes can be linear or have many symmetries, hut not both" [8]. The groups found here are rather small; and so the results reinforce that statement.
, with . This invariance is used here to classify cubic and quartic irreducible Goppa codes and to investigate their symmetry groups. A computer has been used to determine the actual group of the codes of length 33 (for cubics and quarries). It has been said, concerning the trends in symmetry groups with respect to the Gilbert bound, that "a good family of codes can be linear or have many symmetries, hut not both" [8]. The groups found here are rather small; and so the results reinforce that statement.Keywords :
Goppa codes; Equations; Gold; Polynomials;
fLanguage :
English
Journal_Title :
Information Theory, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9448
Type :
jour
DOI :
10.1109/TIT.1979.1056089
Filename :
1056089
Link To Document :
