An infinite class of quadratic APN functions which are not equivalent to power mappings
Lilya Budaghyan, Claude Carlet, Patrick Felke, Gregor Leander · 2006
We exhibit an infinite class of almost perfect nonlinear quadratic polynomials from F2nto F2n(n ges 12, n divisible by 3 but not by 9). We prove that these functions are EA-inequivalent to any power function and that they are CCZ-inequivalent to any Gold function. In a forthcoming full paper, we shall also prove that at least some of these functions are CCZ-inequivalent to any Kasami function