Bent and Permutational Properties of Budaghyan-Carlet Hexanomials

الملخص EN

The set related to the existence of Budaghyan-Carlethexanomials is characterized.

By investigating the component functions, it is also proved that none of Budaghyan-Carlethexanomials cannot be turned into a permutation by adding any linearized polynomial.

As a byproduct, a class of quadratic bent functions is obtained.