title   
  

A generalization of the Giulietti-Korchmaros maximal curve

Warning The system is temporarily closed to updates for reporting purpose.

Garcia, Arnaldo and Güneri, Cem and Stichtenoth, Henning (2008) A generalization of the Giulietti-Korchmaros maximal curve. (Accepted/In Press)

Warning
There is a more recent version of this item available.
[thumbnail of garcia-guneri-stichtenoth.pdf] PDF
garcia-guneri-stichtenoth.pdf
Restricted to Registered users only
Download (157kB) | Request a copy
[thumbnail of garcia-guneri-stichtenoth-revised.pdf] PDF
garcia-guneri-stichtenoth-revised.pdf
Restricted to Registered users only
Download (157kB) | Request a copy

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 Korchm\'{a}ros 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
Depositing User: Cem Güneri
Date Deposited: 14 Jul 2008 10:10
Last Modified: 26 Apr 2022 08:19
URI: https://research.sabanciuniv.edu/id/eprint/8625

Available Versions of this Item

Actions (login required)

View Item
View Item