Given a binary finite field, and a vector space over this field, what command lines in magma can I use to find a self dual linear code and also find an automorphism group that acts on the code's coordinates 2-transitively?
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You can use the recipe of this answer. Bec Note that you didn't specify the role to be played by the given subspace, leaving the question rather unclear. In general I doubt that you can have an algorithm for producing a self-dual code with such an automorphism group. Heck, I suspect that findin the automorphism group of a random code is difficult in general. – Jyrki Lahtonen Feb 12 '18 at 11:22
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Hmm. I take that back. I'm no longer 100 % sure that a direct sum of extended Hamming codes has a 2-transitive automorphism group. It may have, but I'm too feverish to think straight. – Jyrki Lahtonen Feb 12 '18 at 11:25