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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Letzte Änderung: 01.03.2018 - Ansprechpartner: Webmaster