DocumentCode :
1343151
Title :
On the automorphism group of various Goppa codes
Author :
Wesemeyer, Stephan
Author_Institution :
Dept. of Math., Exeter Univ., UK
Volume :
44
Issue :
2
fYear :
1998
fDate :
3/1/1998 12:00:00 AM
Firstpage :
630
Lastpage :
643
Abstract :
We determine the automorphism group of various Goppa codes 𝒞 L(D,G) associated with certain function fields F/F q of genus g>0. It is well known that, for deg D=n>2g+2, the automorphism group {AutD,G(F/Fq) can be embedded into Aut(𝒞L(D,G)) as a subgroup. We show that, under certain conditions on the divisors D and G AutD,G(F/Fq ) is actually isomorphic to Aut(𝒞L(D,G))
Keywords :
Goppa codes; group theory; Goppa codes; automorphism group; code automorphisms; function fields; hyperelliptic codes; isomorphic divisors; subgroup; Codes; Communication systems; Cost accounting; Galois fields; Information technology; Mathematics; Poles and zeros; Polynomials;
fLanguage :
English
Journal_Title :
Information Theory, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9448
Type :
jour
DOI :
10.1109/18.661509
Filename :
661509
Link To Document :
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