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On the Classification of Exceptional Planar Functions over $\mathbb{F}_{p}$

Algebraic Geometry 2024-05-01 v1 Information Theory math.IT

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, Bezout's theorem, and Bertini's theorem.

Keywords

Cite

@article{arxiv.1301.4016,
  title  = {On the Classification of Exceptional Planar Functions over $\mathbb{F}_{p}$},
  author = {Fernando Hernando and Gary McGuire and Francisco Monserrat},
  journal= {arXiv preprint arXiv:1301.4016},
  year   = {2024}
}
R2 v1 2026-06-21T23:11:02.979Z