Automorphisms of doubly-even self-dual binary codes

The automorphism group of a binary doubly-even self-dual code is always contained in the alternating group. On the other hand, given a permutation group G of degree n there exists a doubly-even self-dual G-invariant code if and only if n is a multiple of 8, every simple self-dual F2G-module occurs with even multiplicity in Fn 2 , and G is contained in the alternating group.

• Type: Journal
• Year: 2008
• Where: CORR
• Authors: Annika Guenther, Gabriele Nebe
• Keywords: Alternating Group, CORR 2008, Doubly-even Self-dual Code, Education, Self-dual