Department of Mathematical Foundations of Informatics

Information security and cryptography, secret sharing schemes and their applications. crowd computing, crowdsourcing and gamification

Coding Theory: covering radii of codes, optimal codes, decoding, Computer communications: error control performance of codes, Combinatorics, Algorithms.

National research program " Enhancing the Research Capacity in Mathematical Sciences (PIKOM)"

January 5, 2023 - January 4, 2024

Cryptology, coding theory, discrete mathematics.

Algebra (Linear Algebra in Euclidean Space, Group Theory, Finite Fields), Geometry (Codes and Designs in Polynomial Metric Spaces), Combinatorics (Spherical Designs, Designs in Projective Spaces), Coding Theory (Coding Limits, Optimal Codes), Cryptography.

Combinatorial algorithms and codes - isomorphism, generation and classification algorithms, coding theory - code boundaries, optimal codes, code automorphisms, algebra, finite fields, cryptography.

Algebra: Linear Algebra in Euclidean Spaces, Finite Fields; Geometry: Codes and Designs in Polynomial Metric Spaces, Packings and Coverings; Combinatorics: Orthogonal Arrays, t-Designs, Strongly Regular Graphs, Association Schemes – Spherical Designs, Designs in Projective Spaces; Coding Theory: Bounds for Codes, Optimal Codes.

Research interests: hypergraph coloring, chromatic number of space, Steiner problem, maximal distance minimizers

Research interests: Combinatorial Algorithms

Cryptology, combinatorial optimization and algorithms

Combinatorics, Additive combinatorics, Graph theory, Algorithms (complexity), Analysis.

Теория на кодирането и приложението й в кодова модулация, водни знаци и флаш-памети.

Coding theory, computer algebra, high performance computing.

Research interests: Linear Codes and Combinatorial Algorithms, Algorithms optimization, Mathematical software

Construction, properties and classification up to equivalence of combinatorial designs and related structures, namely resolvable designs, doubly resolvable designs, orthogonal resolutions, multiple designs, Hadamard matrices, error-correcting codes, spreads and parallelisms of projective spaces, optical orthogonal codes.

Coding Theory, Cryptography, Number Theory.

Resolvable designs, doubly resolvable designs, orthogonal resolutions, spreads and parallelisms of projective spaces, cryptographic primitives, algorithms