Abstract
In 2017 Skabelund constructed two new examples of maximal curves S˜q and R˜q as covers of the Suzuki and Ree curves, respectively. The resulting Skabelund curves are analogous to the Giulietti–Korchmáros cover of the Hermitian curve. In this paper a complete characterization of all Galois subcovers of the Skabelund curves S˜q and R˜q is given. Calculating the genera of the corresponding curves, we find new additions to the list of known genera of maximal curves over finite fields.
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