The automorphism group of a self-dual \([72, 36, 16]\) code does not contain \(\mathcal S_3\), \(\mathcal A_4\) or \(D_8\)

DOI10.3934/AMC.2013.7.503zbMath1283.94108arXiv1303.4899OpenAlexW1817272884MaRDI QIDQ380691

Francesca Dalla Volta, Martino Borello, Gabriele Nebe

Publication date: 14 November 2013

Published in: Advances in Mathematics of Communications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1303.4899

zbMATH Keywords

automorphism groupextremal self-dual code

Mathematics Subject Classification ID

Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Linear codes (general theory) (94B05)

Related Items (3)

Some new results on the self-dual \([120,60,24\) code] ⋮ The automorphism group of a self-dual \([72,36,16\) code is not an elementary abelian group of order 8] ⋮ On involutions in extremal self-dual codes and the dual distance of semi self-dual codes

Uses Software

• Magma

This page was built for publication: The automorphism group of a self-dual \([72, 36, 16]\) code does not contain \(\mathcal S_3\), \(\mathcal A_4\) or \(D_8\)