Proceedings of the 2014 International Conference on Mechatronics, Control and Electronic Engineering

On the second derivative of some kinds of Bent functions

Authors
Xinyang Zhang, Meng Zhou
Corresponding Author
Xinyang Zhang
Available Online March 2014.
DOI
https://doi.org/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.
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Proceedings
2014 International Conference on Mechatronics, Control and Electronic Engineering (MCE-14)
Part of series
Advances in Intelligent Systems Research
Publication Date
March 2014
ISBN
978-94-62520-31-8
ISSN
1951-6851
DOI
https://doi.org/10.2991/mce-14.2014.69How to use a DOI?
Open Access
This is an open access article distributed under the CC BY-NC license.

Cite this article

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  - 2014 International Conference on Mechatronics, Control and Electronic Engineering (MCE-14)
PB  - Atlantis Press
SP  - 313
EP  - 317
SN  - 1951-6851
UR  - https://doi.org/10.2991/mce-14.2014.69
DO  - https://doi.org/10.2991/mce-14.2014.69
ID  - Zhang2014/03
ER  -