Philipp Heering

activity

20232026

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cs.IT2026

On Reed-Muller subcodes, Grassmannian partitions and sum-free functions

Philipp Heering, Christian Kaspers, Vladislav Taranchuk

A function $F : F_{2}^{n} \to F_{2}^{m}$ is called $k$ th-order sum-free if the sum of its values over any $k$ -dimensional affine subspace of $F_{2}^{n}$ is non-…

math.CO2026

A note on the chromatic number of Kneser graphs on chambers of projective planes and incidence-free sets

Philipp Heering, Klaus Metsch, Vladislav Taranchuk +1

Let $D = (P, B)$ be a symmetric $(v, k, λ)$ -design and let $(X, Y)$ be an equinumerous incidence-free pair, with $X \subseteq P$ and $Y \subseteq B$ …

math.CO2026

Cocliques in the Kneser graph on $(n - 1, n)$ -flags of PG $(2 n, q)$

Philipp Heering

In the finite projective space PG $(2 n, q)$ we consider flags of type $(n - 1, n)$ , that is, pairs $(A, B)$ consisting of an $(n - 1)$ -space $A$ and an $n$ -space $B$ that are incident. Two…

On Reed-Muller subcodes, Grassmannian partitions and sum-free functions

A note on the chromatic number of Kneser graphs on chambers of projective planes and incidence-free sets

Cocliques in the Kneser graph on (n−1,n)-flags of PG(2n,q)

Cocliques in the Kneser graph on $(n - 1, n)$ -flags of PG $(2 n, q)$