8 citations · 8 across the 5 of their papers we have counts for
Showing math.COShow all
3 papers · 1 filter
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 in dimension…
math.CO2024
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.CO2023★ 8 cited
Value Distributions of Perfect Nonlinear Functions
Lukas Kölsch, Alexandr Polujan
In this paper, we study the value distributions of perfect nonlinear functions, i.e., we investigate the sizes of image and preimage sets. Using purely combinatorial tools, we deve…