Paper 2007/290 Original: eprint.iacr.org/2007/290 ↗
Construction of Rotation Symmetric Boolean Functions with Maximum Algebraic Immunity on Odd Number of Variables
Abstract
In this paper we present a theoretical construction of Rotation Symmetric Boolean Functions (RSBFs) on odd number of variables with maximum possible \ai and further these functions are not symmetric. Our RSBFs are of better nonlinearity than the existing theoretical constructions with maximum possible \ai. To get very good nonlinearity, which is important for practical cryptographic design, we generalize our construction to a construction cum search technique in the RSBF class. We find 7, 9, 11 variable RSBFs with maximum possible \ai having nonlinearities 56, 240, 984 respectively with very small amount of search after our basic construction.
Metadata
- Available format(s)
PDF- Category
- Secret-key cryptography
- Publication info
- Preprint.
- History
- 2007-08-07: last updated
- 2007-08-07: published
- Short URL
- https://ia.cr/2007/290
- License
- https://creativecommons.org/licenses/by/4.0/
BibTeX
@misc{cryptoeprint:2007/290,
author = {Sumanta Sarkar and Subhamoy Maitra},
title = {Construction of Rotation Symmetric Boolean Functions with Maximum Algebraic Immunity on Odd Number of Variables},
howpublished = {Cryptology {ePrint} Archive, Paper 2007/290},
year = {2007},
url = {https://eprint.iacr.org/2007/290}
}