05-27
The automorphism group of a binary self-dual doubly-even [72,36,16] code
by Bouyuklieva,Stefka; O\'Brien, E.A.; Willems, Wolfgang
Preprint series: 05-27, Preprints
- MSC:
- 94B05 Linear codes, general
- 20C20 Modular representations and characters
- 20C40 Computational methods
- 20C05 Group rings of finite groups and their modules, See Also { 16S34}
Abstract: 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.
Keywords: self-dual doubly-even codes, automorphism group, modular representations
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