Automorphisms of doubly even self-dual binary codes

DOI10.1112/blms/bdp026zbMath1184.94267arXiv0810.3787OpenAlexW3105526729MaRDI QIDQ3646364

Gabriele Nebe, Annika Günther

Publication date: 20 November 2009

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0810.3787

zbMATH Keywords

orthogonal groupsalternating groupspinor normunimodular latticesDickson invariantdoubly even self-dual codesautomorphis group

Mathematics Subject Classification ID

Linear codes (general theory) (94B05) Linear algebraic groups over local fields and their integers (20G25) (p)-adic theory (11E95)

Related Items (10)

Automorphism properties and classification of Adinkras ⋮ A mass formula for self-dual permutation codes ⋮ On some codes from rank 3 primitive actions of the simple Chevalley group \(G_2(q) \) ⋮ An extremal \([72,36,16\) binary code has no automorphism group containing \(Z_2 \times Z_4\), \(Q_8\), or \(Z_{10}\)] ⋮ Automorphisms of even unimodular lattices and equivariant Witt groups ⋮ On the existence of self-dual permutation codes of finite groups ⋮ On involutions in extremal self-dual codes and the dual distance of semi self-dual codes ⋮ Symmetric semisimple modules of group algebras over finite fields and self-dual permutation codes. ⋮ On the classification of binary self-dual codes admitting imprimitive rank 3 permutation groups ⋮ Metabolic modules of finite group algebras over finite fields of characteristic two

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