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On the automorphism group of various Goppa codes

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1 Author(s)
S. Wesemeyer ; Dept. of Math., Exeter Univ., UK

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))

Published in:

IEEE Transactions on Information Theory  (Volume:44 ,  Issue: 2 )