Christian Kaspers

collaborators

2 papers

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

Nonvanishing $k$ -flats of Boolean and vectorial functions

Christian Kaspers

$k$ th-order sum-free functions are a natural generalization of APN functions using the concept of (non)vanishing flats. In this paper, we introduce a new combinatorial technique to…

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

Nonvanishing k-flats of Boolean and vectorial functions

Nonvanishing $k$ -flats of Boolean and vectorial functions