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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This research was performed within the activity of GNSAGA of the Italian INDAM, with the financial support of the Italian Ministry MIUR, project “Strutture geometriche, combinatorica e loro applicazioni”, PRIN 2006–2007.
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Giulietti, M., Korchmáros, G. On automorphism groups of certain Goppa codes. Des. Codes Cryptogr. 47, 177–190 (2008). https://doi.org/10.1007/s10623-007-9110-5
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DOI: https://doi.org/10.1007/s10623-007-9110-5