A generalization of the Giulietti-Korchmaros maximal curve

Garcia, Arnaldo and Güneri, Cem and Stichtenoth, Henning (2010) A generalization of the Giulietti-Korchmaros maximal curve. Advances in Geometry, 10 (3). pp. 427-434. ISSN 1615-715X (Print) 1615-7168 (Online)

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Abstract

We introduce a family of algebraic curves over F-q(2n) ( for an odd n) and show that they are maximal. When n = 3, our curve coincides with the F-q(6)-maximal curve that has been found by Giulietti and Korchmaros recently. Their curve (i.e., the case n = 3) is the first example of a maximal curve proven not to be covered by the Hermitian curve.
Item Type: Article
Subjects: Q Science > QA Mathematics
Divisions: Faculty of Engineering and Natural Sciences > Basic Sciences > Mathematics
Faculty of Engineering and Natural Sciences
Depositing User: Cem Güneri
Date Deposited: 26 Jul 2010 16:26
Last Modified: 26 Apr 2022 08:38
URI: https://research.sabanciuniv.edu/id/eprint/14178

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