Alexandr A. Polujan

activity

20192026

most citedCubic bent functions outside the completed Maiorana-McFarland class

26 citations · 34 across the 12 of their papers we have counts for

collaborators

Showing 2025Show all

4 papers · 1 filter

cs.NE2025

On Counts and Densities of Homogeneous Bent Functions: An Evolutionary Approach

Claude Carlet, Marko Ðurasevic, 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…

math.CO2025

Permutations satisfying $(P_{1})$ and $(P_{2})$ properties and $ℓ$ -optimal bent functions

Sadmir Kudin, Enes Pasalic, Alexandr Polujan +1

An important classification of permutations over $F_{2}^{m}$ , suitable for constructing Maiorana-McFarland bent functions on $F_{2}^{m} \times F_{2}^{m}$ with the un…

math.CO2025

Almost Maiorana-McFarland bent functions

Sadmir Kudin, Enes Pasalic, Alexandr Polujan +2

In this article, we study bent functions on $F_{2}^{2 m}$ of the form $f (x, y) = x \cdot ϕ (y) + h (y)$ , where $x \in F_{2}^{m - 1}$ and $y \in F_{2}^{m + 1}$ , which…

math.CO2025

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…

On Counts and Densities of Homogeneous Bent Functions: An Evolutionary Approach

Permutations satisfying (P1​) and (P2​) properties and ℓ-optimal bent functions

Almost Maiorana-McFarland bent functions

Changing almost perfect nonlinear functions on affine subspaces of small codimensions

Permutations satisfying $(P_{1})$ and $(P_{2})$ properties and $ℓ$ -optimal bent functions