bijections 1commutative semifields 1dembowski-ostrom polynomials 1non-desarguesian planes 1projective planes 1
From the 1 of 3 linked papers with an AI index.
3 papers
math.CO2026
Commutative Semifields from bijections of the Desarguesian plane
Faruk GöloÄlu, Lukas Kölsch
The paper constructs a large family of commutative semifields from semiquadratic homogeneous bijections of the projective plane over a finite field, showing these semifields are no…
math.CO2026
Triprojective almost perfect nonlinear permutations and functions
Faruk GöloÄlu, Lukas Kölsch
We give a large family of almost perfect nonlinear (APN) permutations of finite vector spaces of every odd dimension divisible by three. We also give APN functions that are not bij…
math.CO2025
Equivalences of biprojective almost perfect nonlinear functions
Faruk GöloÄlu, Lukas Kölsch
Two important problems on almost perfect nonlinear (APN) functions are the enumeration and equivalence problems. In this paper, we solve these two problems for any biprojective APN…