Paper 2015/451
On the Systematic Constructions of Rotation Symmetric Bent Functions with Any Possible Algebraic Degrees
Sihong Su and Xiaohu Tang
Abstract
In the literature, few constructions of $n$-variable rotation symmetric bent functions have been presented, which either have restriction on $n$ or have algebraic degree no more than $4$. In this paper, for any even integer $n=2m\ge2$, a first systemic construction of $n$-variable rotation symmetric bent functions, with any possible algebraic degrees ranging from $2$ to $m$, is proposed.
Metadata
- Available format(s)
-
PDF
- Publication info
- Preprint. MINOR revision.
- Keywords
- Orbitrotation symmetric functionWalsh transformbent functionalgebraic degree.
- Contact author(s)
- sush @ henu edu cn
- History
- 2015-05-12: received
- Short URL
- https://ia.cr/2015/451
- License
-
CC BY
BibTeX
@misc{cryptoeprint:2015/451,
author = {Sihong Su and Xiaohu Tang},
title = {On the Systematic Constructions of Rotation Symmetric Bent Functions with Any Possible Algebraic Degrees},
howpublished = {Cryptology {ePrint} Archive, Paper 2015/451},
year = {2015},
url = {https://eprint.iacr.org/2015/451}
}
