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On the Hermitian curve and its intersections with some conics.
- Source :
-
Finite Fields & Their Applications . Jul2014, Vol. 28, p166-187. 22p. - Publication Year :
- 2014
-
Abstract
- Abstract: We classify completely the intersections of the Hermitian curve with parabolas in the affine plane. To obtain our results we employ well-known algebraic methods for finite fields and geometric properties of the curve automorphisms. In particular, we provide explicit counting formulas that have also applications to some Hermitian codes. [Copyright &y& Elsevier]
Details
- Language :
- English
- ISSN :
- 10715797
- Volume :
- 28
- Database :
- Academic Search Index
- Journal :
- Finite Fields & Their Applications
- Publication Type :
- Academic Journal
- Accession number :
- 95583826
- Full Text :
- https://doi.org/10.1016/j.ffa.2014.02.005