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ON SUBFIELDS OF GK AND GENERALIZED GK FUNCTION FIELDS

  • Received : 2013.10.22
  • Published : 2015.03.01

Abstract

In this article, we show that many of the genera that Giulietti and Fanali obtained from subfields of the GK curve can be obtained by using similar techniques used by Garcia, Stichtenoth and Xing. In the meantime, we obtain some new genera from the subfields of GK and generalized GK function fields.

Keywords

References

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Cited by

  1. On the genus spectrum of maximal curves over finite fields vol.18, pp.5, 2015, https://doi.org/10.1080/09720529.2014.927640
  2. A complete characterization of Galois subfields of the generalized Giulietti–Korchmáros function field vol.48, 2017, https://doi.org/10.1016/j.ffa.2017.08.006
  3. On the spectrum of genera of quotients of the Hermitian curve vol.46, pp.11, 2018, https://doi.org/10.1080/00927872.2018.1455100