ON SUBFIELDS OF GK AND GENERALIZED GK FUNCTION FIELDS

ON SUBFIELDS OF GK AND GENERALIZED GK FUNCTION FIELDS

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.

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Veröffentlicht in:Journal of the Korean Mathematical Society 2015, Vol.52 (2), p.225-237
Hauptverfasser: Danisman, Yusuf, Ozdemir, Mehmet
Format: Artikel
Sprache:kor
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Zusammenfassung: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.
ISSN:0304-9914