چكيده به لاتين
We exhibit an infinite class of almost perfect nonlinear quadratic binomials from Fn
2 to
Fn
2 with n = 4k and k odd. We prove that these functions are CCZ -inequivalent to
known APN power functions when k ̸= 1. In particular it means that for n = 12; 20; 28,
they are CCZ-inequivalent to any power function. .
Keywords: Affine equivalence, Almost bent, Almost perfect nonlinear, CCZ-equivalence,
Differential uniformity, Nonlinearity, S-box, Vectorial Boolean function
