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

Publication: Research - peer-reviewJournal article – Annual report year: 2017

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We give a complete characterization of all Galois subfields of the generalized Giulietti–Korchm´aros function fields Cn/Fq 2n 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
Number of pages10
ISSN1071-5797
StateAccepted/In press - 2017

    Keywords

  • Giulietti–Korchm´aros function field, Hasse–Weil bound, Maximal function fields, Quotient curves, Galois subfields, Genus spectrum
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