Journal article
Des. Codes Cryptogr., 2009
APA
Fanali, S., & Giulietti, M. (2009). On maximal curves with Frobenius dimension 3. Des. Codes Cryptogr.
Chicago/Turabian
Fanali, S., and M. Giulietti. “On Maximal Curves with Frobenius Dimension 3.” Des. Codes Cryptogr. (2009).
MLA
Fanali, S., and M. Giulietti. “On Maximal Curves with Frobenius Dimension 3.” Des. Codes Cryptogr., 2009.
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.