On the second derivative of some kinds of Bent functions
Xinyang Zhang, Meng Zhou
Available Online March 2014.
- https://doi.org/10.2991/mce-14.2014.69How to use a DOI?
- bent function; second derivative; differential cryptanalysis; Hamming distance; Walsh spectrum
- 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.
- 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 - 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 - https://doi.org/10.2991/mce-14.2014.69 ID - Zhang2014/03 ER -