# Switching Construction of Planar Functions on Finite Fields

```@inproceedings{Pott2010SwitchingCO,
title={Switching Construction of Planar Functions on Finite Fields},
author={Alexander Pott and Yue Zhou},
booktitle={WAIFI},
year={2010}
}```
• Published in WAIFI 27 June 2010
• Mathematics
A function f : Fpn → Fpn is planar, if f(x+a)-f(x) = b has precisely one solution for all a, b e Fpn, a ≠ 0. In this paper, we discuss possible extensions of the switching idea developed in [1] to the case of planar functions. We show that some of the known planar functions can be constructed from each other by switching.

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