70 citations · 153 across the 22 of their papers we have counts for
23 papers
Sidon sets, sum-free sets and linear codes
Ingo Czerwinski, Alexander Pott
Finding the maximum size of a Sidon set in is of research interest for more than 40 years. In order to tackle this problem we recall a one-to-one correspondence be…
Linear codes and incidence structures of bent functions and their generalizations
Wilfried Meidl, Alexandr A. Polujan, Alexander Pott
In this paper we consider further applications of -functions for the construction of 2-designs. For instance, we provide a new application of the extended Assmus-Mattson the…
Vanishing Flats: A Combinatorial Viewpoint on the Planarity of Functions and Their Application
Shuxing Li, Wilfried Meidl, Alexandr Polujan +3
For a function from to , the planarity of is usually measured by its differential uniformity and differential spectrum. In this paper, we p…
On the intersection distribution of degree three polynomials and related topics
Gohar Kyureghyan, Shuxing Li, Alexander Pott
The intersection distribution of a polynomial over finite field was recently proposed in Li and Pott (arXiv:2003.06678v1), which concerns the collective behaviou…
On design-theoretic aspects of Boolean and vectorial bent functions
Alexandr Polujan, Alexander Pott
There are two construction methods of designs from -bent functions, known as translation and addition designs. In this paper we analyze, which equivalence relation for Boole…
Intersection distribution, non-hitting index and Kakeya sets in affine planes
Shuxing Li, Alexander Pott
We propose the concepts of intersection distribution and non-hitting index, which can be viewed from two related perspectives. The first one concerns a point set of size …