On automorphism groups of certain Goppa codes


Journal article


M. Giulietti, G. Korchmáros
Des. Codes Cryptogr., 2008

Semantic Scholar DBLP DOI
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Cite

APA   Click to copy
Giulietti, M., & Korchmáros, G. (2008). On automorphism groups of certain Goppa codes. Des. Codes Cryptogr.


Chicago/Turabian   Click to copy
Giulietti, M., and G. Korchmáros. “On Automorphism Groups of Certain Goppa Codes.” Des. Codes Cryptogr. (2008).


MLA   Click to copy
Giulietti, M., and G. Korchmáros. “On Automorphism Groups of Certain Goppa Codes.” Des. Codes Cryptogr., 2008.


BibTeX   Click to copy

@article{m2008a,
  title = {On automorphism groups of certain Goppa codes},
  year = {2008},
  journal = {Des. Codes Cryptogr.},
  author = {Giulietti, M. and Korchmáros, G.}
}

Abstract

Goppa codes are linear codes arising from algebraic curves over finite fields. Sufficient conditions are given ensuring that all automorphisms of a Goppa code are inherited from the automorphism group of the curve. In some cases, these conditions are also necessary. The cases of curves with large automorphism groups, notably the Hermitian and the Deligne-Lusztig curves, are investigated in detail.


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