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On the classification of exceptional planar functions over \(\mathbb {F}_{p}\)

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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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Correspondence to Fernando Hernando.

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This research was partially supported by MINECO under Grant No. MTM2012-36917-C03-03 (Spain).

Research of the second author supported by the Claude Shannon Institute, Science Foundation Ireland Grant 06/MI/006.

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Hernando, F., McGuire, G. & Monserrat, F. On the classification of exceptional planar functions over \(\mathbb {F}_{p}\) . Geom Dedicata 173, 1–35 (2014).

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