Philipp Heering

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20232026

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math.CO2025

Line-parallelisms of PG $(n, 2)$ from Preparata-like codes

Philipp Heering, Vladislav Taranchuk

Partitions of the binary linear Hamming code into Preparata-like codes are known to induce line-parallelisms of PG $(n, 2)$ . In this paper, we show that if $P$ is any Preparata-like…

math.CO2025

On the Erdős-Ko-Rado problem of flags with type ${1, n - 3}$ of finite sets

Philipp Heering

A flag of a finite set $S$ is a set $f$ of non-empty, proper subsets of $S$ , such that $X \subseteq Y$ or $Y \subseteq X$ for all $X, Y \in f$ . Two flags $f_{1}$ and $f_{2}$ of $S$ are opp…

math.CO2025

The largest sets of non-opposite chambers in spherical buildings of type $B$

Jan De Beule, Philipp Heering, Sam Mattheus +1

The investigation into large families of non-opposite flags in finite spherical buildings has been a recent addition to a long line of research in extremal combinatorics, extending…

Line-parallelisms of PG(n,2) from Preparata-like codes

On the Erdős-Ko-Rado problem of flags with type {1,n−3} of finite sets

The largest sets of non-opposite chambers in spherical buildings of type B

Line-parallelisms of PG $(n, 2)$ from Preparata-like codes

On the Erdős-Ko-Rado problem of flags with type ${1, n - 3}$ of finite sets

The largest sets of non-opposite chambers in spherical buildings of type $B$