Poslední úprava: Dr. rer. nat. Faruk Göloglu (14.09.2023)
The main aim of this seminar is to explore combinatorial and algebraic ideas of finite structures that are related to cryptography, geometry and coding theoretic concepts. This includes
- finite semifields (algebra),
- highly nonlinear functions (cryptography),
- projective planes (finite geometry),
- MRD (maximum rank distance) codes (network coding), and
- braces (geometry via the Yang-Baxter equation).
In Winter Semester 2023/2024 we plan to focus on braces and some ideas related to semifields (in particular, projective polynomials).
Poslední úprava: Dr. rer. nat. Faruk Göloglu (14.09.2023)
The main aim of this seminar is to explore combinatorial and algebraic ideas of finite structures that are related to cryptography, geometry and coding theoretic concepts. This includes
- finite semifields (algebra),
- highly nonlinear functions (cryptography),
- projective planes (finite geometry),
- MRD (maximum rank distance) codes (network coding), and
- braces (geometry via the Yang-Baxter equation).
In Winter Semester 2023/2024 we plan to focus on braces and some ideas related to semifields (in particular, projective polynomials). |