Lukas Kölsch

activity

20192026

most citedOptimal Control of Port-Hamiltonian Systems: A Time-Continuous Learning Approach

2 citations · 2 across the 2 of their papers we have counts for

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3 papers · 1 filter

math.CO2026

Triprojective almost perfect nonlinear permutations and functions

Faruk Göloğlu, Lukas Kölsch

We give a large family of almost perfect nonlinear (APN) permutations of finite vector spaces of every odd dimension divisible by three. We also give APN functions that are not bij…

math.CO2020

Formal self duality

Lukas Kölsch, Robert Schüler

We study the notion of formal self duality in finite abelian groups. Formal duality in finite abelian groups has been proposed by Cohn, Kumar, Reiher and Schürmann. In this paper w…

math.CO2020

On the inverses of Kasami and Bracken-Leander exponents

Lukas Kölsch

We explicitly determine the binary representation of the inverse of all Kasami exponents $K_{r} = 2^{2 r} - 2^{r} + 1$ modulo $2^{n} - 1$ for all possible values of $n$ and $r$ . This includes as…