Further results on a family of bent functions from permutations

In 1997, Hou and Langevin introduced the idea of constructing bent functions as the composition of a Boolean function with a permutation. Recently, K. Li, C. Li, T. Helleseth, and L. Qu constructed several classes of bent functions from quadratic permutations and permutations with Niho exponents. In this paper, we further investigate one of these classes of bent functions, establishing more general sufficient conditions and discussing their relationship with the class of Maiorana–McFarland bent functions.