This is a past event.

Visitor Bernardo Rodrigues of the University of KwaZulu-Natal will be speaking on "Linear codes with complementary duals from regular graphs invariant under finite groups."

We determine all linear codes of length 50 over F_p (p a prime) which admit the projective special unitary group U₃(5) as an automorphism group. By group representation theory means we prove that these can all be realized as submodules of the permutation module FΩ where Ω corresponds to the vertex set of the Hoffman-Singleton graph.