2022/07/12 by José Ándrés Armario, Ronan Egan, Armario, José Andrés +3
Computer Science · Engineering · #Coding theory and cryptography #graph theory and CDMA systems
paper · pdf · doi:10.48550/arxiv.2207.05735
In a recent survey, Schmidt compiled equivalences between generalized bent functions, group invariant Butson Hadamard matrices, and abelian splitting relative difference sets. We establish a broader network of equivalences by considering Butson matrices that are cocyclic rather than strictly group invariant. This result has several applications; for example, to the construction of Boolean functions whose expansions are generalized partially bent functions, including cases where no bent function can exist.