6 research outputs found
On the dual of (non)-weakly regular bent functions and self-dual bent functions
For weakly regular bent functions in odd characteristic the dual
function is also bent. We analyse a recently introduced construction of nonweakly
regular bent functions and show conditions under which their dual is
bent as well. This leads to the denition of the class of dual-bent functions
containing the class of weakly regular bent functions as a proper subclass. We
analyse self-duality for bent functions in odd characteristic, and characterize
quadratic self-dual bent functions. We construct non-weakly regular bent functions
with and without a bent dual, and bent functions with a dual bent function
of a dierent algebraic degree