In this project, we will look at connections between design theory and coding theory. A famous example is provided by the (sporadic) Golay codes, which correspond to the Witt designs (and sporadic Mathieu groups). More generally, the support of the codewords in a perfect codes always form a t-design. This project can take multiple directions, according to your interests; including recent research on rank-metric equivalents of these classical links.

Does the project come with funding

No

Final date for receiving applications

Ongoing

Keywords

Combinatorics, algebra