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Extremal self‐dual lattices exist only in dimensions 1 to 8, 12, 14, 15, 23, and 24

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Publication:4145792
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DOI10.1112/S0025579300009244zbMath0368.10026MaRDI QIDQ4145792

Conway, John H., N. J. A. Sloane, Andrew M. Odlyzko

Publication date: 1978

Published in: Mathematika (Search for Journal in Brave)



Mathematics Subject Classification ID

Quadratic forms (reduction theory, extreme forms, etc.) (11H55)


Related Items

On the integrality of \(n\)th roots of generating functions, A new upper bound for the minimum of an integral lattice of determinant 1, On the enumeration of lattices of determinant one, Niemeier lattices and Type II codes over \(\mathbb{Z}_4\)


Uses Software

  • MACSYMA


Cites Work

  • Unnamed Item
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  • Klassenzahlen definiter quadratischer Formen
  • Upper bounds for modular forms, lattices, and codes
  • A restriction on the weight enumerator of a self-dual code
  • Lineare Relationen zwischen Darstellungsanzahlen quadratischer Formen
  • A characterisation of Leech's lattice
  • Definite quadratische Formen der Dimension 24 und Diskriminante 1
  • Notes on Sphere Packings
  • A Group of Order 8,315,553,613,086,720,000
  • Sphere Packings and Error-Correcting Codes
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