Welcome to the resource topic for 2006/428
Title:
Another class of quadratic APN binomials over \F_{2^n}: the case n divisible by 4
Authors: Lilya Budaghyan, Claude Carlet, Gregor Leander
Abstract:We exhibit an infinite class of almost perfect nonlinear quadratic binomials from \mathbb{F}_{2^{n}} to \mathbb{F}_{2^{n}} with n=4k and k odd. We prove that these functions are CCZ-inequivalent to known APN power functions when k\ne 1. In particular it means that for n=12,20,28, they are CCZ-inequivalent to any power function.
ePrint: https://eprint.iacr.org/2006/428
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