SubjectsSubjects(version: 945)
Course, academic year 2023/2024
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Seminar on Combinatorial, Algorithmic and Finitary Algebra - NMMB551
Title: Seminář z kombinatorické, algoritmické a finitní algebry
Guaranteed by: Department of Algebra (32-KA)
Faculty: Faculty of Mathematics and Physics
Actual: from 2023
Semester: both
E-Credits: 2
Hours per week, examination: 0/2, C [HT]
Capacity: unlimited
Min. number of students: unlimited
4EU+: no
Virtual mobility / capacity: no
State of the course: taught
Language: English, Czech
Teaching methods: full-time
Teaching methods: full-time
Note: you can enroll for the course repeatedly
you can enroll for the course in winter and in summer semester
Guarantor: prof. RNDr. Aleš Drápal, CSc., DSc.
Dr. rer. nat. Faruk Göloglu
Class: DS, algebra, teorie čísel a matematická logika
M Mgr. MMIB > Povinně volitelné
Classification: Mathematics > Algebra, Discrete Mathematics
Interchangeability : NALG080
Is interchangeable with: NALG080
Annotation -
Last update: T_KA (14.05.2013)
The seminar can be of interest to master degree and doctoral degree students, and to the faculty. The main aim is to offer a platform to younger researchers (diploma and doctoral students, postdocs) that work in the area. The results are usually explained with proofs in adequate detail. The problems formulated at the seminar are often suited as an inspiration for a diploma or doctoral thesis.
Course completion requirements -
Last update: doc. Mgr. et Mgr. Jan Žemlička, Ph.D. (28.10.2019)

Active participance.

Syllabus -
Last update: 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).

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