  In a particular case, we consider the extended Maiorana-McFarland class to
obtain bent functions with balance in its images, restricted to vectors with
even Hamming weight. Additionally, we see that all bent functions are balanced
when we restrict to vectors of even Hamming weight or to vectors with odd
Hamming weight. Given the necessary tools, we provide a simpler algorithm to
obtain new bent functions using Maiorana-McFarland.
