Abstract
Frobenius dimension is one of the most important birational invariants of maximal curves. In this paper, a characterization of maximal curves with Frobenius dimension equal to 3 is provided. Our main tool is the Natural Embedding Theorem for maximal curves. As an application, maximal curves with Frobenius dimension 3 defined over the fields with 16 and 25 elements are completely classified.
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Communicated by Guglielmo Lunardon.
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Fanali, S., Giulietti, M. On maximal curves with Frobenius dimension 3. Des. Codes Cryptogr. 53, 165–174 (2009). https://doi.org/10.1007/s10623-009-9302-2
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DOI: https://doi.org/10.1007/s10623-009-9302-2