Project description
Hyperovals are one of the most useful concepts in finite geometry. They can be used to construct bent functions in cryptography, MDS (optimal) codes, regular Hadamard designs/matrices used in statistics, and are important as building blocks of larger geometries the automorphisms of which form infinite sequences of finite simple groups (e.g. the Suzuki groups). Multiple major experts in this area come from Adelaide, and it's not surprising one of the hyperovals has the name Adelaide (oval) and there is Subiaco (oval): why Subiaco? Because it's the next favourite oval.
Assumed knowledge
Basic third year algebra (groups, rings, fields, vector spaces); some geometrical intuition
Industry involvement
Note: You need to register interest in projects from different supervisors (not a number of projects with the one supervisor).
You must also contact each supervisor directly to discuss both the project details and your suitability to undertake the project.