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
Creative Commons Attribution
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},
      note = {\url{https://eprint.iacr.org/2015/451}},
      url = {https://eprint.iacr.org/2015/451}
}
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