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On the classification of exceptional planar functions over mathbb {F}_{p} |
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| Authors: | Fernando Hernando Gary McGuire Francisco Monserrat |
| Affiliation: | 1. Department of Mathematics, Universidad Jaume I, Castellon, Spain 2. School of Mathematical Sciences, University College Dublin, Dublin, Ireland 3. Instituto Universitario de Matemática Pura y Aplicada, Universidad Politécnica de Valencia, Valencia, Spain |
| Abstract: | 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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