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The automorphism group of a binary self-dual doubly-even [72,36,16] code

by Bouyuklieva,Stefka, O'Brien, E.A., Willems, Wolfgang.

Series: 2005-27, Preprints

94B05 Linear codes, general
20C20 Modular representations and characters
20C40 Computational methods
20C05 Group rings of finite groups and their modules

We prove that the automorphism group of a putative binary self-dual doubly-even
[72,36,16] code is solvable. Moreover, its order is
5, 7, 10, 14, 56, or a divisor of 72.

self-dual doubly-even codes, automorphism group, modular representations