| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4582876 | Finite Fields and Their Applications | 2014 | 22 Pages |
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.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Chiara Marcolla, Marco Pellegrini, Massimiliano Sala,