Paper 2011/171 Original: eprint.iacr.org/2011/171 ↗
On lower bounds on second--order nonliearities of bent functions obtained by using Niho power functions
Abstract
In this paper we find a lower bound of the second-order nonlinearities of Boolean bent functions of the form $f(x) = Tr_{1}^{n}(\alpha_{1}x^{d_{1}} + \alpha_{2}x^{d_{2}})$,where $d_1$ and $d_2$ are Niho exponents. A lower bound of the second-order nonlinearities of these Boolean functions can also be obtained by using a result proved by Li, Hu and Gao (eprint.iacr.org/2010 /009.pdf). It is demonstrated that for large values of $n$ the lower bound obtained in this paper are better than the lower bound obtained by Li, Hu and Gao.
Metadata
- Available format(s)
PDF- Category
- Secret-key cryptography
- Publication info
- Preprint.
- History
- 2011-07-07: last updated
- 2011-04-04: published
- Short URL
- https://ia.cr/2011/171
- License
- https://creativecommons.org/licenses/by/4.0/
BibTeX
@misc{cryptoeprint:2011/171,
author = {Manish Garg and Sugata Gangopadhyay},
title = {On lower bounds on second--order nonliearities of bent functions obtained by using Niho power functions},
howpublished = {Cryptology {ePrint} Archive, Paper 2011/171},
year = {2011},
url = {https://eprint.iacr.org/2011/171}
}