A power APN function CCZ-equivalent to Kasami function in even dimension

Autor: Musukwa, Augustine, Sala, Massimiliano
Rok vydání: 2020
Předmět:
Druh dokumentu: Working Paper
Popis: Let $n$ be an even number such that $n\equiv 0 \pmod{4}$. We show that a power function $x^d$, with $d=2^{\frac{n+2}{2}}+2^{\frac{n-2}{2}}-1$, on $\mathbb{F}_{2^n}$ is an APN function of degree $n/2$ which is CCZ-equivalent to Kasami functions of degrees $n/2$ and $(n+4)/2$.
Comment: My colleagues have identified some technical errors which require redress
Databáze: arXiv