You can find most of my articles on Google Scholar and arXiv.

List of Preprints and Publications

[19] Kölsch, L., Levinshteyn, A., Tenn, M.: The autotopism group of a family of commutative semifields. Preprint: Link.

[18] Göloglu, F., Kölsch, L.: Equivalences of biprojective almost perfect nonlinear functions. Accepted for publication in Combinatorial Theory, Preprint: Link.

[17] Kölsch, L., Polujan, A. The combinatorial structure and value distributions of plateaued functions, Preprint: Link.

[16] Bartoli, D., Kölsch, L., Micheli, G.: Differential biases, c-differential uniformity, and their relation to differential attacks. In: Petkova-Nikova, S., Panario, D. (eds) Arithmetic of Finite Fields. WAIFI 2024. Lecture Notes in Computer Science, vol 15176. Springer, Cham (2025). Link

[15] Kölsch, L., Polujan, A. A Study of APN Functions in Dimension 7 Using Antiderivatives, \emph{2024 IEEE International Symposium on Information Theory (ISIT)}, Athens, Greece, 2024, pp. 1613-1617, Link.

[14] Kölsch, L. A unifying construction of semifields of order $p^{2m}$. Preprint: Link.

[13] Kölsch, L., Kyureghyan, G. The classifications of o-monomials and of 2-to-1 binomials are equivalent. Des. Codes Cryptogr. (2024). Link

[12]Kölsch, L., Krompholz, L., Kyureghyan, G. Factorization and irreducibility of composed products. Des. Codes Cryptogr. (2024). Link

[11] Kölsch, L. On a recent extension of a family of biprojective APN functions. Finite Fields and Their Applications, 99, (2024), Link

[10] Kölsch, L., Polujan, A.: Value distributions of perfect nonlinear functions. Combinatorica (2023). Link

[9] Göloglu, F., Kölsch, L.: Counting the number of non-isotopic Taniguchi semifields. Designs, Codes, Cryptography (2023). https://doi.org/10.1007/s10623-023-01262-0 Preprint. Designs, Codes, Cryptography (2023). Link

[8] Göloglu, F., Kölsch, L.: An exponential bound on the number of non-isotopic commutative semifields. Transactions of the American Mathematical Society (2022). https://doi.org/10.1090/tran/8785 Preprint.

[7] Kölsch, L., Kriepke, B., Kyureghyan, G.M.: Image sets of perfectly nonlinear maps. Designs, Codes, Cryptography (2022). Link

[6] Kölsch, L., Schüler, R.: Formal self-duality. Cryptogr. Commun. 13, 815–836 (2021), Link.

[5] Kölsch, L.: On CCZ-equivalence of the inverse function, IEEE Transaction on Information Theory, vol. 67, no. 7, pp. 4856-4862, July 2021, Link

[4] Kölsch, L.: On the inverses of Kasami and Bracken-Leander exponents, Designs, Codes, Cryptography 88, 2597-2621 (2020), Link

[3] Göloglu, F., Kölsch, L., Kyureghyan, G., Perrin, L.: On subspaces of Kloosterman zeros and permutations of the form L_1(x^{-1})+L_2(x), In: Bajard J.C., Topuzoglu A. (eds) Arithmetic of Finite Fields. WAIFI 2020. Lecture Notes in Computer Science, vol 12542. Springer, Cham. Link

[2] Canteaut, A., Kölsch, L., Li, C., Li, C., Li, K., Qu, L., Wiemer, F.: Autocorrelations of Vectorial Boolean Functions. In: Longa P., Ràfols C. (eds) Progress in Cryptology – LATINCRYPT 2021. LATINCRYPT 2021. Lecture Notes in Computer Science, vol 12912. Link

merged article based on: Canteaut, A., Kölsch, L., Wiemer, F., Observations on the DLCT and Absolute Indicators, Preprint

[1] Kölsch, L.: XOR-Counts and Lightweight Multiplication with Fixed Elements in Binary Finite Fields In: Ishai Y., Rijmen V. (eds) Advances in Cryptology – EUROCRYPT 2019. EUROCRYPT 2019. Lecture Notes in Computer Science, vol 11476. Link

My Dissertation

If (for some reason) you want to have a look at my dissertation, it can be found here.