a Department of Informatics, University of Bergen, PB. 7803, 5020 Bergen, Norway b Institute of Algebra and Geometry, Otto-von-Guericke University Magdeburg, D-39016 Magdeburg, Germany
Abstract:
We present results related to vectorial plateaued functions and mappings whose derivatives are 2s-to-1 functions. The results in this note generalize facts about almost perfect nonlinear and almost bent functions. We investigate the connection between plateaued and 2s-to-1 functions. We show that functions which are both plateaued and differentially uniform give rise to partial difference sets.