CryptoDB

Paper: An infinite class of quadratic APN functions which are not equivalent to power mappings

Authors: L. Budaghyan C. Carlet P. Felke G. Leander URL: http://eprint.iacr.org/2005/359 Search ePrint Search Google We exhibit an infinite class of almost perfect nonlinear quadratic polynomials from $\mathbb{F}_{2^n}$ to $\mathbb{F}_{2^n}$ ($n\geq 12$, $n$ divisible by 3 but not by 9). We prove that these functions are EA-inequivalent to any power function. In the forthcoming version of the present paper we will proof that these functions are CCZ-inequivalent to any Gold function and to any Kasami function, in particular for $n=12$, they are therefore CCZ-inequivalent to power functions.
BibTeX
@misc{eprint-2005-12693,
title={An infinite class of quadratic APN functions which are not equivalent to power mappings},
booktitle={IACR Eprint archive},
keywords={foundations / Vectorial Boolean function, S-box, Nonlinearity, Differential uniformity, Almost perfect nonlinear, Almost bent, Affine equivalence, CCZ-equivalence},
url={http://eprint.iacr.org/2005/359},
note={ Gregor.Leander@rub.de 13073 received 6 Oct 2005, last revised 17 Oct 2005},
author={L. Budaghyan and C. Carlet and P. Felke and G. Leander},
year=2005
}