Designs and their codes

Host Faculty: Engineering
General Subject Area: Pure Mathematics
Project Level: PhD
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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.


Supervisor: Geertrui Van de Voorde

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Combinatorics, algebra