Overconstrained character sums over finite abelian groups and decompositions of generalized bent, plateaued and landscape functions

Ayça Çeşmelioğlu, Constanza Riera, Pantelimon Stănică

Generalized bent (gbent) functions from an $n$-variable Boolean space to ${\mathbb{Z}}_{2^k}$ are central in cryptography and sequence design. Instead of the usual binary decompositi…