On the construction of bent functions of \(n+2\) variables from bent functions of \(n\) variables (Q1001642)

The authors present a method to iteratively construct new bent functions of \(n+2\) variables from bent functions of \(n\) variables, using minterms of \(n\) variables and minterms of two variables. If \(\nu_n\) stands for the number of bent functions of \(n\) variables, this method produces \[ 4\nu_n+\frac{4!}{2!}\nu_n\frac{\nu_n-2}{2} \] bent functions of \(n+2\) variables.