Classification of all Galois subcovers of the Skabelund maximal curves

نویسندگان

چکیده

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

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ژورنال

عنوان ژورنال: Journal of Number Theory

سال: 2023

ISSN: ['0022-314X', '1096-1658']

DOI: https://doi.org/10.1016/j.jnt.2022.07.008