## Title data

de la Cruz, Javier ; Kiermaier, Michael ; Wassermann, Alfred:

**The automorphism group of an extremal [120, 60, 24] code does not contain elements of order 29.**

*In:* Designs, Codes and Cryptography.
Vol. 78
(March 2016)
Issue 3
.
- pp. 693-702.

ISSN 0925-1022

DOI: https://doi.org/10.1007/s10623-014-0025-7

## Abstract in another language

We prove that the automorphism group of an extremal binary self-dual [120, 60, 24] code does not contain elements of order 29. Combining this with the known results in the literature, one obtains that |G| divides 2^a * 3 * 5 * 7 * 19 * 23 for a non-negative integer a.

## Further data

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

Refereed: | Yes |

Keywords: | self-dual code; extremal code; automorphism group; doubly-even code |

Subject classification: | Mathematics Subject Classification Code: 94B05 11T71 |

Institutions of the University: | Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics II Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics and Didactics 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: | 24 Mar 2016 07:35 |

Last Modified: | 24 Mar 2016 07:35 |

URI: | https://eref.uni-bayreuth.de/id/eprint/32030 |