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Title:
Bent functions construction using extended Maiorana-McFarland’s class
Authors: Juan Carlos Ku-Cauich, Javier Diaz-Vargas, Sara Mandujano-Velazquez
Abstract: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.
ePrint: https://eprint.iacr.org/2024/413
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