On the second derivative of some kinds of Bent functions

DOI

10.2991/mce-14.2014.69How to use a DOI?

Keywords

bent function; second derivative; differential cryptanalysis; Hamming distance; Walsh spectrum

Abstract

Bent function plays an important role in cryptography. It opposes an optimum resistance to linear and differential cryptanalysis. We point out that for some kinds of bent functions, such as Maiorana-McFarland functions and functions with algebraic degree less than three, they are weak in second-order differential cryptanalysis. Thus when constructing bent functions we should use other methods and avoid these functions. Furthermore, a bent function can split into four bent pieces if and only if, the corresponding second-order differential of its dual function is 1.

Copyright

© 2014, 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/).

Download article (PDF)

TY  - CONF
AU  - Xinyang Zhang
AU  - Meng Zhou
PY  - 2014/03
DA  - 2014/03
TI  - On the second derivative of some kinds of Bent functions
BT  - Proceedings of the 2014 International Conference on Mechatronics, Control and Electronic Engineering
PB  - Atlantis Press
SP  - 313
EP  - 317
SN  - 1951-6851
UR  - https://doi.org/10.2991/mce-14.2014.69
DO  - 10.2991/mce-14.2014.69
ID  - Zhang2014/03
ER  -