Paper 2010/518 Original: eprint.iacr.org/2010/518 ↗
Boolean functions with all main cryptographic properties
Abstract
In this paper, we propose a class of $2k$-variable Boolean functions which have optimal algebraic degree, very high nonlinearity, and are $1$-resilient. Based on our newly proposed conjecture, it can be shown that the algebraic immunity of our functions is at least suboptimal. Moreover, when $k$ is odd, the algebraic immunity is actually optimal, and for even $k$, we find that the algebraic immunity is optimal at least for $k\leq 28$.
Metadata
- Available format(s)
PDF- Category
- Foundations
- Publication info
- Preprint.
- History
- 2010-10-12: last updated
- 2010-10-12: published
- Short URL
- https://ia.cr/2010/518
- License
- https://creativecommons.org/licenses/by/4.0/
BibTeX
@misc{cryptoeprint:2010/518,
author = {Ziran Tu and Yingpu Deng},
title = {Boolean functions with all main cryptographic properties},
howpublished = {Cryptology {ePrint} Archive, Paper 2010/518},
year = {2010},
url = {https://eprint.iacr.org/2010/518}
}