Paper 2005/245 Original: eprint.iacr.org/2005/245 ↗
On the Algebraic Immunity of Symmetric Boolean Functions
Abstract
In this paper, we analyse the algebraic immunity of symmetric Boolean functions. We identify a set of lowest degree annihilators for symmetric functions and propose an efficient algorithm for computing the algebraic immunity of a symmetric function. The existence of several symmetric functions with maximum algebraic immunity is proven. In this way, a new class of function which have good implementation properties and maximum algebraic immunity is found. We also investigate the existence of symmetric functions with high nonlinearity and reasonable order of algebraic immunity. Finally, we give suggestions how to use symmetric functions in a stream cipher.
Metadata
- Available format(s)
PDF- Category
- Secret-key cryptography
- Publication info
- Preprint.
- History
- 2005-08-01: last updated
- 2005-07-30: published
- Short URL
- https://ia.cr/2005/245
- License
- https://creativecommons.org/licenses/by/4.0/
BibTeX
@misc{cryptoeprint:2005/245,
author = {An Braeken and Bart Preneel},
title = {On the Algebraic Immunity of Symmetric Boolean Functions},
howpublished = {Cryptology {ePrint} Archive, Paper 2005/245},
year = {2005},
url = {https://eprint.iacr.org/2005/245}
}