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A generalization of the Giulietti-Korchmaros maximal curve

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

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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 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
ID Code:7412
Deposited By:Cem Güneri
Deposited On:15 Feb 2008 11:52
Last Modified:14 Jul 2008 10:10

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