Paper 2020/100 Original: eprint.iacr.org/2020/100 ↗
A direct proof of APN-ness of the Kasami functions
Abstract
Using recent results on solving the equation $X^{2^k+1}+X+a=0$ over a finite field $\GF{2^n}$, we address an open question raised by the first author in WAIFI 2014 concerning the APN-ness of the Kasami functions $x\mapsto x^{2^{2k}-2^k+1}$ with $gcd(k,n)=1$, $x\in\GF{2^n}$
Metadata
- Available format(s)
PDF- Category
- Secret-key cryptography
- Publication info
- Preprint.
- History
- 2020-02-04: last updated
- 2020-02-04: published
- Short URL
- https://ia.cr/2020/100
- License
- https://creativecommons.org/licenses/by/4.0/
BibTeX
@misc{cryptoeprint:2020/100,
author = {Claude Carlet and Kwang Ho Kim and Sihem Mesnager},
title = {A direct proof of APN-ness of the Kasami functions},
howpublished = {Cryptology {ePrint} Archive, Paper 2020/100},
year = {2020},
url = {https://eprint.iacr.org/2020/100}
}