by Malevich, A., Willems, W..
Series: 2012-05, Preprints
There are seven binary extremal self-dual doubly-even codes which are known to have a $2$-transitive automorphism group.
Using representation theoretical methods we show that there are no other such codes, except possibly for length $n = 1024$. We also classify all extremal ternary self-dual and quaternary Hermitian self-dual codes.
Automorphisms, Self-dual codes, Transitive groups, Simple groups