turkmath.org

Bent functions are highly nonlinear Boolean functions defined on a vector space over the field with 2 elements. The number of quadratic bent functions is the number of non degenerate alternating forms. In my talk, I will determine the number of pairs of quadratic bent functions such that the sum is bent, again. These are special cases of vectorial bent functions. The proof uses some basic knowledge about association schemes. Unfortunately, the main problem remains open: What is the number of inequivalent vectorial bent functions.