A construction of bent functions of \(n+2\) variables from a bent function of \(n\) variables and its cyclic shifts
Summary: We present a method to iteratively construct new bent functions of \(n+2\) variables from a bent function of \(n\) variables and its cyclic shift permutations using minterms of \(n\) variables and minterms of 2 variables. In addition, we provide the number of bent functions of \(n+2\) variables that we can obtain by applying the method here presented, and finally we compare this method with a previous one introduced by us in [\textit{J.-J. Climent} et al., Adv. Math. Commun. 2, No. 4, 421--431 (2008; Zbl 1161.06007)] and with the Rothaus and Maiorana-McFarland constructions.
scientific article; zbMATH DE number 6519798
scientific article