## Title data

Feulner, Thomas ; Nebe, Gabriele:

**The automorphism group of an extremal [72,36,16] code does not contain Z₇, Z₃ x Z₃, or D₁₀.**

*In:* IEEE Transactions on Information Theory.
Vol. 58
(2012)
Issue 11
.
- pp. 6916-6924.

ISSN 0018-9448

DOI: https://doi.org/10.1109/TIT.2012.2208176

## Abstract in another language

A computer calculation with Magma shows that there is no extremal self-dual binary code C of length 72 that has an automorphism group containing either the dihedral group of order 10, the elementary abelian group of order 9, or the cyclic group of order 7. Combining this with the known results in the literature, one obtains that the order of Aut(C) is either 5 or divides 24.

## Further data

Item Type: | Article in a journal |
---|---|

Refereed: | Yes |

Keywords: | Automorphism group, extremal self-dual code, type II code |

Institutions of the University: | Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics II (Computer Algebra) Faculties Faculties > Faculty of Mathematics, Physics und Computer Science Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics |

Result of work at the UBT: | Yes |

DDC Subjects: | 500 Science > 510 Mathematics |

Date Deposited: | 22 Jan 2015 12:21 |

Last Modified: | 22 Jan 2015 12:21 |

URI: | https://eref.uni-bayreuth.de/id/eprint/5834 |