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Paper: Another class of quadratic APN binomials over $\F_{2^n}$: the case $n$ divisible by 4

Authors: Lilya Budaghyan Claude Carlet Gregor Leander URL: http://eprint.iacr.org/2006/428 Search ePrint Search Google 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
}