Speaker
Dr
Enes Pasalic
(University of Primorska)
Description
Perfect nonlinear functions, also known as planar mappings, share a great deal of their their properties with another combinatorial concept known as bent
functions. It turns out that hese different concepts, for instance behaving differently for different prime charactestics of their prime fields, are almost identical
notions, in particular this is true if the component functions of planar mappings are considered. However, whereas for bent functions there exist diverse
construction methods, generating bent functions of varying degree, this is not the case for planar mappings. This talk will review the similarities between the two
concepts and discuss some open problems related to the construction of planar mappings, in particular the problem of designing nonquadratic planar mappings is
briefly addressed. If time allows some relations to graph theory will be mentioned.
Primary author
Dr
Enes Pasalic
(University of Primorska)
