New Perfect Nonlinear Functions over Finite Fields

Abstract

In this paper we present a new class of perfect nonlinear %Dembowski-Ostrom polynomials over ${\mathbb{F}}_{p^{2k}}$ for any odd prime $p$. In addition, we show that the new perfect nonlinear functions are CCZ-inequivalent to all the previously known perfect nonlinear functions in general.

This result is not new. It has been found by other researchers many years ago