Rank-Two Frobenius-Linearized Normal Forms and Orthoderivative Dual Coordinates in Quadratic APN Maps

Jingchuan Ma, Yanhua Liu, Qiaoyun Huang

We classify binary-linear two-term Frobenius-linearized operators $L(Y)=A{Y}^{\sigma }+BY$ on $K^3$, where $K$ is a finite extension of ${\mathbb{F}}_2$ and $\sigma$ is a fixed nontrivial Frobenius…