학술논문
On the Hermitian curve and its intersections with some conics
Document Type
Working Paper
Source
Finite Fields and their Applications, 2014, vol. 28, p. 166-187
Subject
Language
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.
Comment: This article is contained in previous article "On the Hermitian curve, its intersections with some conics and their applications to affine-variety codes and Hermitian codes" (arXiv:1208.1627)
Comment: This article is contained in previous article "On the Hermitian curve, its intersections with some conics and their applications to affine-variety codes and Hermitian codes" (arXiv:1208.1627)