M. Żynel

collaborators

3 papers

math.CO2025

The full automorphism groups of the five symmetric $(15, 8, 4)$ -designs

Mark Pankov, Krzysztof Petelczyc, Mariusz Å»ynel

It is clear that the full automorphism group of the $(15, 8, 4)$ -design of points and hyperplane complements of $PG (3, 2)$ is $GL (4, 2)$ . Using methods of point-line geomet…

math.CO2024

Point-line geometries related to binary equidistant codes

Mark Pankov, Krzysztof Petelczyc, Mariusz Zynel

We investigate point-line geometries whose singular subspaces correspond to binary equidistant codes. The main result is a description of automorphisms of these geometries. In some…

math.CO2024

Symmetric $(15, 8, 4)$ -designs in terms of the geometry of binary simplex codes of dimension $4$

Mark Pankov, Krzysztof Petelczyc, Mariusz Å»ynel

Let $n = 2^{k} - 1$ and $m = 2^{k - 2}$ for a certain $k \geq 3$ . Consider the point-line geometry of $2 m$ -element subsets of an $n$ -element set. Maximal singular subspaces of this geometry co…

The full automorphism groups of the five symmetric (15,8,4)-designs

Point-line geometries related to binary equidistant codes

Symmetric (15,8,4)-designs in terms of the geometry of binary simplex codes of dimension 4

The full automorphism groups of the five symmetric $(15, 8, 4)$ -designs

Symmetric $(15, 8, 4)$ -designs in terms of the geometry of binary simplex codes of dimension $4$