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Another class of quadratic APN binomials over $\F_{2^n}$: the case $n$ divisible by 4
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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. |
BibTeX
@misc{eprint-2006-21919, title={Another class of quadratic APN binomials over $\F_{2^n}$: the case $n$ divisible by 4}, booktitle={IACR Eprint archive}, keywords={secret-key cryptography / Affine equivalence, Almost bent, Almost perfect nonlinear, CCZ-equivalence, Differential uniformity, Nonlinearity, S-box, Vectorial Boolean function.}, url={http://eprint.iacr.org/2006/428}, note={ lilya@science.unitn.it 13479 received 17 Nov 2006, last revised 27 Nov 2006}, author={Lilya Budaghyan and Claude Carlet and Gregor Leander}, year=2006 }