Abstract | ||
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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 |
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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 Bouyuklieva | 1 | 108 | 13.95 |
Javier de la Cruz | 2 | 7 | 2.61 |
Wolfgang Willems | 3 | 40 | 7.65 |