Paper 2024/413
Bent functions construction using extended Maiorana-McFarland’s class
, Computer Science, CINVESTAV-IPN, Facultad de Matemáticas, UADY, ESFM, IPNAbstract
In a particular case, we consider the extended Maiorana-McFarland’s class to obtain balanced bent functions restricted to vectors with even Hamming weight, an equal number of pre-images for each element in the range. Additionally, we demonstrate that all bent functions are balanced when we restrict to vectors of even Hamming weight or vectors with odd Hamming weight. Given the necessary tools, we provide a simple algorithm to obtain new bent functions using Maiorana-McFarland.
Metadata
- Available format(s)
-
PDF
- Category
- Attacks and cryptanalysis
- Publication info
- Preprint.
- Keywords
- Bent functionsMaiorana-McFarlandBalancedness
- Contact author(s)
-
jcku @ cs cinvestav mx
javier diaz @ correo uady mx
smandujanov2000 @ alumno ipn mx - History
- 2024-03-08: approved
- 2024-03-07: received
- See all versions
- Short URL
- https://ia.cr/2024/413
- License
-
CC BY
BibTeX
@misc{cryptoeprint:2024/413,
author = {Juan Carlos Ku-Cauich and Javier Diaz-Vargas and Sara Mandujano-Velazquez},
title = {Bent functions construction using extended Maiorana-McFarland’s class},
howpublished = {Cryptology ePrint Archive, Paper 2024/413},
year = {2024},
note = {\url{https://eprint.iacr.org/2024/413}},
url = {https://eprint.iacr.org/2024/413}
}
