Title
On the Automorphism Group of a Binary Self-dual [120, 60, 24] Code
Abstract
We prove that an automorphism of order 3 of a putative binary self-dual code has no fixed points. Moreover, the order of the automorphism group of divides with . Automorphisms of odd composite order may occur only for or with corresponding cycle structures -- or - respectively. In case that all involutions act fixed point freely we have , and is solvable if it contains an element of prime order . Moreover, the alternating group is the only non-abelian composition factor which may occur in .
Year
DOI
Venue
2012
10.1007/s00200-013-0193-0
APPLICABLE ALGEBRA IN ENGINEERING COMMUNICATION AND COMPUTING
Keywords
DocType
Volume
Self-dual codes,Automorphisms,Extremal codes
Journal
24.0
Issue
ISSN
Citations 
SP3-4
0938-1279
3
PageRank 
References 
Authors
0.41
10
3
Name
Order
Citations
PageRank
Stefka Bouyuklieva110813.95
Javier de la Cruz272.61
Wolfgang Willems3407.65