Applications of the indirect sum in the design of several special classes of bent functions outside the completed $\mathcal{MM}$ class

ePrint Report: Applications of the indirect sum in the design of several special classes of bent functions outside the completed $\mathcal{MM}$ class

Fengrong Zhang, Enes Pasalic, Amar Bapić, Baocang Wang

Two main secondary constructions of bent functions are the direct and indirect sum methods. We show that the direct sum, under more relaxed conditions compared to those in \cite{PolujanandPott2020}, can generate bent functions provably outside the completed Maiorana-McFarland class ($\mathcal{MM}^\#$). We also show that the indirect sum method, though imposing …

applications bent class design eprint report functions special