Alexandr A. Polujan

collaborators

2 papers

cs.IT2020

Vanishing Flats: A Combinatorial Viewpoint on the Planarity of Functions and Their Application

Shuxing Li, Wilfried Meidl, Alexandr Polujan +3

For a function $f$ from $F_{2}^{n}$ to $F_{2}^{n}$ , the planarity of $f$ is usually measured by its differential uniformity and differential spectrum. In this paper, we p…

math.CO2019

Cubic bent functions outside the completed Maiorana-McFarland class

Alexandr Polujan, Alexander Pott

In this paper we prove that in opposite to the cases of 6 and 8 variables, the Maiorana-McFarland construction does not describe the whole class of cubic bent functions in $n$ vari…