A complete characterization of Galois subfields of the generalized Giulietti–Korchmáros function field

Nurdagül Anbar, Alp Bassa, Peter Beelen

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Abstract

We give a complete characterization of all Galois subfields of the generalized Giulietti–Korchmáros function fields Cn/Fq2n for n ≥5. Calculating the genera of the corresponding fixed fields, we find new additions to the list of known genera of maximal function fields.
Original languageEnglish
JournalFinite Fields and Their Applications
Volume48
Pages (from-to)318-330
ISSN1071-5797
DOIs
Publication statusPublished - 2017

Keywords

  • Giulietti–Korchmáros function field
  • Hasse–Weil bound
  • Maximal function fields
  • Quotient curves
  • Galois subfields
  • Genus spectrum

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