International Association
for Cryptologic Research

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.