Paper 2005/359
An infinite class of quadratic APN functions which are not equivalent to power mappings
L. Budaghyan, C. Carlet, P. Felke, and G. Leander
Abstract
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.
Metadata
- Available format(s)
-
PDF
PS
- Category
- Foundations
- Publication info
- Published elsewhere. Unknown where it was published
- Keywords
- Vectorial Boolean functionS-boxNonlinearityDifferential uniformityAlmost perfect nonlinearAlmost bentAffine equivalenceCCZ-equivalence
- Contact author(s)
- Gregor Leander @ rub de
- History
- 2005-10-17: revised
- 2005-10-09: received
- See all versions
- Short URL
- https://ia.cr/2005/359
- License
-
CC BY
BibTeX
@misc{cryptoeprint:2005/359,
author = {L. Budaghyan and C. Carlet and P. Felke and G. Leander},
title = {An infinite class of quadratic {APN} functions which are not equivalent to power mappings},
howpublished = {Cryptology {ePrint} Archive, Paper 2005/359},
year = {2005},
url = {https://eprint.iacr.org/2005/359}
}
