A construction of bent functions from plateaued functions

Authors:
Ayça Çeşmelioğlu;Wilfried Meidl
Affiliations:
Sabancı University, MDBF, Orhanlı, Tuzla, İstanbul, Turkey 34956 and Department of Mathematics, Otto-von-Guericke-University, Magdeburg, Germany 39106;Sabancı University, MDBF, Orhanlı, Tuzla, İstanbul, Turkey 34956 and Department of Mathematics, Otto-von-Guericke-University, Magdeburg, Germany 39106
Venue:
Designs, Codes and Cryptography
Year:
2013

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Abstract

In this presentation, a technique for constructing bent functions from plateaued functions is introduced and analyzed. This generalizes earlier techniques for constructing bent from near-bent functions. Using this construction, we obtain a big variety of inequivalent bent functions, some weakly regular and some non-weakly regular. Classes of bent functions having some additional properties that enable the construction of strongly regular graphs are formed, and explicit expressions for bent functions with maximal degree are presented.