Paper 2024/1337
Construction bent functions using the Maiorana McFarland class
, Computer Science, CINVESTAV-IPN, Facultad de Matemáticas, UADYAbstract
We are using the extended Maiorana-McFarland construction to create new bent functions. When we start with a bent function of dimension s-r, we can produce a new function of dimension s+r while ensuring that its balance is limited to the set of vectors with an even Hamming weight in its domain. We also compare this approach with the case where r=1 and apply it multiple times. Finally, we provide an algorithm as an example, focusing on the case where r=2 and another algorithm using r=1 two times.
Metadata
- Available format(s)
-
PDF
- Category
- Attacks and cryptanalysis
- Publication info
- Preprint.
- Keywords
- Bent functionsMaiorana-McFarlandAffine spacesBalancedness
- Contact author(s)
-
jcku @ cs cinvestav mx
javier diaz @ correo uady mx - History
- 2024-08-30: approved
- 2024-08-26: received
- See all versions
- Short URL
- https://ia.cr/2024/1337
- License
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CC BY
BibTeX
@misc{cryptoeprint:2024/1337,
author = {Juan Carlos Ku-Cauich and Javier Diaz-Vargas},
title = {Construction bent functions using the Maiorana {McFarland} class},
howpublished = {Cryptology {ePrint} Archive, Paper 2024/1337},
year = {2024},
url = {https://eprint.iacr.org/2024/1337}
}
