Abstract
We show that the generalized Giulietti-Korchmáros curve defined over F q2n, for n ≥ 3 odd and q ≥ 3, is not a Galois subcover of the Hermitian curve over F q2n This answers a question raised by Garcia, Güneri and Stichtenoth.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 453-465 |
| Number of pages | 13 |
| Journal | Bulletin of the Brazilian Mathematical Society |
| Volume | 43 |
| Issue number | 3 |
| DOIs | |
| State | Published - Sep 2012 |
Keywords
- Galois coverings
- generalized GK curves
- maximal curves
ASJC Scopus subject areas
- General Mathematics