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Lattices and association schemes: a unimodular example in dimension 28

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Publication:1906102
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DOI10.5802/aif.1490zbMath0843.11033OpenAlexW2029892508MaRDI QIDQ1906102

Roland Bacher, Boris B. Venkov

Publication date: 6 February 1996

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_1995__45_5_1163_0


zbMATH Keywords

latticeassociation schemesymplectic spacespread


Mathematics Subject Classification ID

Association schemes, strongly regular graphs (05E30) Automorphism groups of lattices (11H56)


Related Items

Symplectic groups, symplectic spreads, codes, and unimodular lattices ⋮ Classification of ternary extremal self-dual codes of length 28 ⋮ Modular lattices from finite projective planes ⋮ Symplectic group lattices



Cites Work

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  • Finite groups and even lattices
  • Weil representations associated to finite fields
  • Symplectic groups, symplectic spreads, codes, and unimodular lattices
  • Tables of integral unimodular lattices constructed as \(k\)-neighbors in \(\mathbb{Z}^n\)
  • Quadratic residue codes and symplectic groups
  • Representations of symplectic groups
  • Group Representations and Lattices
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