5 papers
Bent Functions and the Completed Maiorana-McFarland Class
Enes Pasalic, Alexandr Polujan, Fengrong Zhang +1
In this article, we survey some fundamental results and recent advances in the design and analysis of Boolean bent functions from the perspective of their relation to the completed…
On Counts and Densities of Homogeneous Bent Functions: An Evolutionary Approach
Claude Carlet, Marko Ãurasevic, Domagoj Jakobovic +3
Boolean functions with strong cryptographic properties, such as high nonlinearity and algebraic degree, are important for the security of stream and block ciphers. These functions…
Permutations satisfying and properties and -optimal bent functions
Sadmir Kudin, Enes Pasalic, Alexandr Polujan +1
An important classification of permutations over , suitable for constructing Maiorana-McFarland bent functions on with the un…
Almost Maiorana-McFarland bent functions
Sadmir Kudin, Enes Pasalic, Alexandr Polujan +2
In this article, we study bent functions on of the form , where and , whic…
Changing almost perfect nonlinear functions on affine subspaces of small codimensions
Hiroaki Taniguchi, Alexandr Polujan, Alexander Pott +1
In this article, we study algebraic decompositions and secondary constructions of almost perfect nonlinear (APN) functions. In many cases, we establish precise criteria which chara…