# Otto-von-Guericke-Universität Magdeburg

### 10-01

#### On the automorphism group of a binary self-dual doubly-even [72,36,16] code

Preprint series: 10-01, Preprints

MSC:
94B05 Linear codes, general
20D45 Automorphisms
20C20 Modular representations and characters

Abstract: We prove that the automorphism group of a binary self-dual doubly-even [72,36,16] code has order 5, 7, 10, 14 or $d$ where $d$ divides 18 or 24, or it is $A_4 \times C_3$.

Keywords: Automorphism group, extremal code of length 72

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Letzte Änderung: 10.02.2016 - Ansprechpartner: Pierre Krenzlin