Paper 2005/359 Original: eprint.iacr.org/2005/359 ↗
An infinite class of quadratic APN functions which are not equivalent to power mappings
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- Category
- Foundations
- Publication info
- Preprint.
- History
- 2005-10-17: last updated
- 2005-10-09: published
- Short URL
- https://ia.cr/2005/359
- License
- https://creativecommons.org/licenses/by/4.0/
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}
}