Otto-von-Guericke-Universität Magdeburg

 
 
 
 
 
 
 
 

12-05

A. Malevich, W. Willems

 

Preprint series: 12-05, Preprints

MSC:
94B05 Linear codes, general
20B20 Multiply transitive finite groups
20B25 Finite automorphism groups of algebraic, geometric, or combinatorial structures, See also {05Bxx, 12F10, 20G40, 20H30, 51-XX}

 

Abstract:There are seven binary extremal self-dual doubly-even codes which are known to have a $2$-transitive automorphism group. Using representation theoretical methods we show that there are no other such codes, except possibly for length $n = 1024$. We also classify all extremal ternary self-dual and quaternary Hermitian self-dual codes.

Keywords:Automorphisms, Self-dual codes, Transitive groups, Simple groups

Upload:2012-03-13-03-13

Letzte Änderung: 10.02.2016 - Ansprechpartner: Pierre Krenzlin