Another class of quadratic APN binomials over F 2 n : the case n divisible by 4.
Lilya Budaghyan, Claude Carlet, Gregor Leander · 2006
We exhibit an infinite class of almost perfect nonlinear quadratic binomials from $\\mathbb{F}_{2^{n}}$ to $\\mathbb{F}_{2^{n}}$ with $n=4k$ and $k$ odd. We prove that these functions are CCZ-inequivalent to known APN power functions when $k\ e 1$. In particular it means that for $n=12,20,28$, they are CCZ-inequivalent to any power function.