3 papers
math.CO2026
The combinatorial structure and value distributions of plateaued functions
Lukas Kölsch, Alexandr Polujan
We study combinatorial properties of plateaued functions . All quadratic functions, bent functions and most known APN functions…
math.CO2025
Millions of inequivalent quadratic APN functions in eight variables
Christof Beierle, Philippe Langevin, Gregor Leander +2
The only known example of an almost perfect nonlinear (APN) permutation in even dimension was obtained by applying CCZ-equivalence to a specific quadratic APN function. Motivated b…
cs.DM2025
Normality of 8-Bit Bent Function
Valérie Gillot, Philippe Langevin, Alexandr Polujan
Bent functions are Boolean functions in an even number of variables that are indicators of Hadamard difference sets in elementary abelian 2-groups. A bent function in m variables i…