On the automorphism group of various Goppa codes

On the automorphism group of various Goppa codes

We determine the automorphism group of various Goppa codes /spl Cscr//sub L/(D,G) associated with certain function fields F/F/sub q/ of genus g>0. It is well known that, for deg D=n>2g+2, the automorphism group {Aut/sub D,G/(F/F/sub q/) can be embedded into Aut(/spl Cscr//sub L/(D,G)) as a sub...

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Veröffentlicht in:IEEE transactions on information theory 1998-03, Vol.44 (2), p.630-643
1. Verfasser: Wesemeyer, S.
Format: Artikel
Sprache:eng
Schlagworte:
Codes
Communication systems
Cost accounting
Galois fields
Information technology
Mathematical analysis
Mathematical models
Mathematics
Poles and zeros
Polynomials
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Zusammenfassung:We determine the automorphism group of various Goppa codes /spl Cscr//sub L/(D,G) associated with certain function fields F/F/sub q/ of genus g>0. It is well known that, for deg D=n>2g+2, the automorphism group {Aut/sub D,G/(F/F/sub q/) can be embedded into Aut(/spl Cscr//sub L/(D,G)) as a subgroup. We show that, under certain conditions on the divisors D and G Aut/sub D,G/(F/F/sub q/) is actually isomorphic to Aut(/spl Cscr//sub L/(D,G)).
ISSN:0018-9448
1557-9654
DOI:10.1109/18.661509