Welcome to the resource topic for 2007/098
Title:
Classes of Quadratic APN Trinomials and Hexanomials and Related Structures
Authors: Lilya Budaghyan, Claude Carlet
Abstract: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 \mathbb{F}_{2^{2m}} to \mathbb{F}_{2^{2m}}. We check for m=3 that some of these functions are CCZ-inequivalent to power functions.
ePrint: https://eprint.iacr.org/2007/098
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