Research Interests

1. Finite geometries and linear codes.
Geometric structures (such as caps and blocking sets) in finite Galois geometries PG(n,q). Applications in digital communication (error-correcting codes) and in statistical experimental design. Algebraic coding theory (finite fields, exponential sums).

2. Combinatorial enumeration.
Generating functions. Counting lattice points in polytopes and applications to enumeration of various combinatorial structures.

3. Steganography (science of information hiding).
Steganography based on linear covering codes. Average distance to code - the numerical invariant that measures the appropriateness of a code for the steganography application. Classification of optimal codes with respect to this invariant. Connections to graph colouring problems (domatically full graphs).

4. Computation
Computational aspects of the topics listed above. Isomorph-free generation of combinatorial structures. Constructing structures with prescribed automorphism groups.