On homogeneous planar functions

Tao Feng

Let $p$ be an odd prime and $\F_q$ be the finite field with $q=p^n$ elements. A planar function $f:\F_q\rightarrow\F_q$ is called homogenous if $f(\lambda x)={\lambda }^{d}f(x)$ for all $λ\in\F_p$ a…