On maximal curves with Frobenius dimension 3


Journal article


S. Fanali, M. Giulietti
Des. Codes Cryptogr., 2009

Semantic Scholar DBLP DOI
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APA   Click to copy
Fanali, S., & Giulietti, M. (2009). On maximal curves with Frobenius dimension 3. Des. Codes Cryptogr.


Chicago/Turabian   Click to copy
Fanali, S., and M. Giulietti. “On Maximal Curves with Frobenius Dimension 3.” Des. Codes Cryptogr. (2009).


MLA   Click to copy
Fanali, S., and M. Giulietti. “On Maximal Curves with Frobenius Dimension 3.” Des. Codes Cryptogr., 2009.


BibTeX   Click to copy

@article{s2009a,
  title = {On maximal curves with Frobenius dimension 3},
  year = {2009},
  journal = {Des. Codes Cryptogr.},
  author = {Fanali, S. and Giulietti, M.}
}

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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