Lukas Kölsch

activity

20192026

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

2 citations · 4 across the 5 of their papers we have counts for

collaborators

Showing 2020Show all

4 papers · 1 filter

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…

cs.IT2020

On CCZ-equivalence of the inverse function

Lukas Kölsch

The inverse function $x \mapsto x^{- 1}$ on $F_{2^{n}}$ is one of the most studied functions in cryptography due to its widespread use as an S-box in block ciphers like AES.…

math.OC2020★ 2 cited

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

Lukas Kölsch, Pol Jané Soneira, Felix Strehle +1

Feedback controllers for port-Hamiltonian systems reveal an intrinsic inverse optimality property since each passivating state feedback controller is optimal with respect to some s…

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…