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TIT
2008

Classes of Quadratic APN Trinomials and Hexanomials and Related Structures

13 years 11 months ago
Classes of Quadratic APN Trinomials and Hexanomials and Related Structures
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 F22m to F22m . We check for m = 3 that some of these functions are CCZ-inequivalent to power functions. Keywords. Affine equivalence, Almost bent, Almost perfect nonlinear, CCZ-equivalence, Differential uniformity, Nonlinearity, S-box, Vectorial Boolean function.
Lilya Budaghyan, Claude Carlet
Added 15 Dec 2010
Updated 15 Dec 2010
Type Journal
Year 2008
Where TIT
Authors Lilya Budaghyan, Claude Carlet
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