FAKULTÄT FÜR

MATHEMATIK

Publikationen und Preprints

• Lukas Kölsch and Alexandr Polujan. Value distributions of perfect nonlinear functions. Combinatorica, 2023.
• Alexandr Polujan, Enes Pasalic, Sadmir Kudin, and Fengrong Zhang. Bent functions satisfying the dual bent condition and permutations with the $(\mathcal{A}_m)$ property. arXiv preprint arXiv:2310.10162
• Alexandr Polujan, Enes Pasalic, Sadmir Kudin, and Fengrong Zhang. On bent functions satisfying the dual bent condition. In:The 8th International Workshop on Boolean Functions
  and their Applications. 2023, pp. 65–71.
• Alexandr Polujan, Luca Mariot, and Stjepan Picek. Normality of Boolean bent functions in eight variables, revisited. In:The 8th International Workshop on Boolean Functions and their Applications. 2023, pp. 79–83.
  
• Enes Pasalic, Alexandr Polujan, Sadmir Kudin, Fengrong Zhang. Design and analysis of bent functions using -subspaces. arXiv preprint arXiv:2304.13432
• Amar Bapić, Enes Pasalic, Alexandr Polujan, Alexander Pott. Vectorial Boolean functions with the maximum number of bent components beyond the Nyberg’s bound. Designs, Codes and Cryptography, 2023. Special Issue: Coding and Cryptography 2022. (published online)
• Enes Pasalic, Sadmir Kudin, Alexandr Polujan, Alexander Pott. Vectorial bent-negabent functions – their constructions and bounds. IEEE Transactions on Information Theory, 2022. (published online)
• Wilfried Meidl, Alexandr Polujan, Alexander Pott. Linear codes and incidence structures of bent functions and their generalizations. Discrete Mathematics. Volume 346, Issue 1, January 2023, 113157. arXiv link.
• Alexandr Polujan and Alexander Pott. Towards the Classification of Quadratic Vectorial Bent Functions in 8 Variables. Proceedings of the 7th International Workshop on Boolean Functions and their Applications (BFA), Balestrand, Norway, 2022.
• Amar Bapić, Enes Pasalic, Alexandr Polujan and Alexander Pott. Vectorial Boolean Functions with the Maximum Number of Bent Components outside the M# class. Proceedings of the 12th International Workshop on Coding and Cryptography, Rostock, 2022.
• Alexandr Polujan. Boolean and Vectorial Functions: A Design-Theoretic Point of View. Doktorarbeit, Otto von Guericke University Magdeburg, 2021.
• Alexandr Polujan and Alexander Pott. On design-theoretic aspects of Boolean and vectorial bent functions. IEEE Transactions on Information Theory 67 (2), 1027-1037, 2021. arXiv link.
• Shuxing Li, Wilfried Meidl, Alexandr Polujan, Alexander Pott, Constanza Riera, Pantelimon Stănică. Vanishing Flats: A Combinatorial Viewpoint on the Planarity of Functions and Their Application. IEEE Transactions on Information Theory, vol. 66, no. 11, pp. 7101-7112, 2020. arXiv link.
• Alexandr Polujan and Alexander Pott. Cubic bent functions outside the completed Maiorana-McFarland class. Designs, Codes and Cryptography, 88 (9), 1701-1722. arXiv link.
• Alexandr Polujan and Alexander Pott. Homogeneous cubic bent functions without affine derivatives outside the completed Maiorana-McFarland class. Proceedings of the 11th International Workshop on Coding and Cryptography (Saint-Jacut de la Mer, 2019), Paper 38.

Vorträge

• Colloquium on Combinatorics (KOLKOM), Heidelberg, Germany Contributed Talk: Value distributions of perfect nonlinear functions, October, 2023.
• Deutsche Mathematiker-Vereinigung (DMV) Meeting 2023, Minisymposium “Combinatorial aspects of finite fields”, Ilmenau, Germany. Invited Talk:On the analysis and construction methods of bent functions, September 2023.
• The Eighth International Workshop on Boolean Functions and their Applications (BFA 2023),Voss, Norway Refereed Talk:On bent functions satisfying the dual bent condition, September 2023.
• The Eighth International Workshop on Boolean Functions and their Applications (BFA 2023),Voss, Norway Refereed Talk:Normality of Boolean bent functions in eight variables, revisited, September 2023.
• The Fifteenth International Conference on Finite Fields and Their Applications, Paris, France Contributed Talk: On Vectorial Bent-Negabent Functions, Their Constructions and Bounds, July 2023.
• Invited talk at the Mathematical research colloquium of the Institute of Mathematics of the University of Rostock, Germany, invited by Prof.in. Dr. Kyureghyan, 27.09.2022. Designs and Vectorial Bent Functions.
• BFA 2022. The 7th International Workshop on Boolean Functions and their Applications (BFA), Balestrand, Norway, 15.09.2022. Towards the Classification of Quadratic Vectorial Bent Functions in 8 Variables.
• WCC 2022. The Twelfth International Workshop on Coding and Cryptography, Rostock, 11.03.2022. Vectorial Boolean Functions with the Maximum Number of Bent Components outside the M# class.
• Gemeinsame Jahrestagung der DMV und der ÖMG 2021 in Passau, 29.09.2021. Bent Functions and Designs.
• Promotionsverteidigung, 05.07.2021.Otto von Guericke University, Magdeburg. Boolean and Vectorial Functions: A Design-Theoretic Point of View.
• KolKom 2019. Kolloquium über Kombinatorik, Paderborn, Germany, 09.11.2019. Design-theoretic aspects of vectorial bent functions.
• UP Famnit, Koper, Slovenia, 24.09.2019.
• Talk at the Oberseminar, Institute for Algebra and Geometry, Otto von Guericke University, Magdeburg, Germany, 02.07.2019. Homogeneous Cubic Bent Functions: From Known Examples to New Constructions.

• Invited talk at the Mathematical research colloquium of the Institute of Mathematics of the University of Rostock, Germany, invited by Prof.in. Dr. Kyureghyan, 15.05.2019. Homogeneous Cubic Bent Functions: From Known Examples to New Constructions.

• WCC 2019. The Eleventh International Workshop on Coding and Cryptography, Saint-Jacut-de-la-Mer, France, 01.04.2019. Homogeneous cubic bent functions without affine derivatives outside M class.

• KolKom 2018. Kolloquium über Kombinatorik, Paderborn, Germany, 23.11.2018. Homogeneous cubic bent functions: new from old.