Characterization of a class of complete permutation quadrinomials over ${\mathbb{F}}_{2^{2m}}$

Yanjun Li, Maosheng Xiong

Let $q=2^m$, $Q=2^k$, and $1\le k\le m-1$. We characterize complete permutation polynomials (CPPs) over ${\mathbb{F}}_{q^2}$ of the form \[ f(x)=c_0x^{Q+1}+c_1x^{Q+q}+c_2x^{qQ+1} +…