On the classification of exceptional planar functions over Fp

We will present many strong partial results towards a classification of exceptional planar/PN monomial functions on finite fields. The techniques we use are the Weil bound, Bézout’s theorem, and Bertini’s theorem.

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Bibliographic Details
Published in:Geometriae dedicata 2014-12, Vol.173 (1), p.1-35
Main Authors: Hernando, Fernando, McGuire, Gary, Monserrat, Francisco
Format: Article
Language:English
Subjects:
Algebraic Geometry
Convex and Discrete Geometry
Differential Geometry
Hyperbolic Geometry
Mathematics
Mathematics and Statistics
Original Paper
Projective Geometry
Topology
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Description
Summary:We will present many strong partial results towards a classification of exceptional planar/PN monomial functions on finite fields. The techniques we use are the Weil bound, Bézout’s theorem, and Bertini’s theorem.
ISSN:0046-5755
1572-9168
DOI:10.1007/s10711-013-9926-2