Paper 2006/428 Original: eprint.iacr.org/2006/428 ↗
Another class of quadratic APN binomials over $\F_{2^n}$: the case $n$ divisible by 4
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.
Metadata
- Available format(s)
PDF- Category
- Secret-key cryptography
- Publication info
- Preprint.
- History
- 2006-11-27: last updated
- 2006-11-19: published
- Short URL
- https://ia.cr/2006/428
- License
- https://creativecommons.org/licenses/by/4.0/
BibTeX
@misc{cryptoeprint:2006/428,
author = {Lilya Budaghyan and Claude Carlet and Gregor Leander},
title = {Another class of quadratic APN binomials over $\F_{2^n}$: the case $n$ divisible by 4},
howpublished = {Cryptology {ePrint} Archive, Paper 2006/428},
year = {2006},
url = {https://eprint.iacr.org/2006/428}
}