Classes of Quadratic APN Trinomials and Hexanomials and Related Structures
Lilya Budaghyan, Claude Carlet · IEEE Transactions on Information Theory · 2008
A method for constructing differentially 4-uniform quadratic hexanomials has been recently introduced by J. Dillon. We give various generalizations of this method and we deduce the constructions of new infinite classes of almost perfect nonlinear quadratic trinomials and hexanomials from F22mto F22m. We check for m = 3 that some of these functions are CCZ-inequivalent to power functions.