On primary construction of Plateaued functions

DOI

10.2991/ic3me-15.2015.147How to use a DOI?

Keywords

Boolean Functions, Plateaued Functions, Nonlinearity, Resiliency, Stream Ciphers.

Abstract

To resist different kinds of attacks, Boolean functions used in the cryptosystem should have good cryptographic properties. The Plateaued functions, a large class of Boolean functions containing Bent functions and Partial-Bent functions, are good choices. Therefore, the study of construction and cryptographic properties of Plateaued functions has received wide attention. However, until now, there are few primary constructions known to us, in which one does not assume the existence of previously defined functions to define new ones. Moreover, most of them have some drawbacks. In this paper, a new primary construction of Plateaued functions is given. And we show in particular that most of the existing primary constructions of Plateaued functions can be reduced to ours.

Copyright

© 2015, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - CONF
AU  - Tianfeng Sun
AU  - Bin Hu
AU  - Yan Liu
AU  - Liping Xu
PY  - 2015/08
DA  - 2015/08
TI  - On primary construction of Plateaued functions
BT  - Proceedings of the 3rd International Conference on Material, Mechanical and Manufacturing Engineering
PB  - Atlantis Press
SP  - 757
EP  - 766
SN  - 2352-5401
UR  - https://doi.org/10.2991/ic3me-15.2015.147
DO  - 10.2991/ic3me-15.2015.147
ID  - Sun2015/08
ER  -