2 citations · 4 across the 5 of their papers we have counts for
9 papers
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…
Differential biases, -differential uniformity, and their relation to differential attacks
Daniele Bartoli, Lukas Kölsch, Giacomo Micheli
Differential cryptanalysis famously uses statistical biases in the propagation of differences in a block cipher to attack the cipher. In this paper, we investigate the existence of…
Equivalences of biprojective almost perfect nonlinear functions
Faruk Göloğlu, Lukas Kölsch
Two important problems on almost perfect nonlinear (APN) functions are the enumeration and equivalence problems. In this paper, we solve these two problems for any biprojective APN…
Optimal Distributed Frequency and Voltage Control for Zonal Electricity Markets
Lukas Kölsch, Lena Zellmann, Rishabh Vyas +2
Zonal pricing is a well-suited mechanism to incentivize grid-supporting behavior of profit-maximizing producers and consumers operating on a large-scale power system. In zonal elec…
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…
On CCZ-equivalence of the inverse function
Lukas Kölsch
The inverse function on is one of the most studied functions in cryptography due to its widespread use as an S-box in block ciphers like AES.…
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…
On the inverses of Kasami and Bracken-Leander exponents
Lukas Kölsch
We explicitly determine the binary representation of the inverse of all Kasami exponents modulo for all possible values of and . This includes as…
Distributed Frequency and Voltage Control for AC Microgrids based on Primal-Dual Gradient Dynamics
Lukas Kölsch, Katharina Wieninger, Stefan Krebs +1
With the gradual transformation of power generation towards renewables, distributed energy resources are becoming more and more relevant for grid stabilization. In order to involve…