Even unimodular Euclidean lattices in dimension 32

DOI10.1007/BF01670570zbMath0538.10017OpenAlexW4239698303MaRDI QIDQ793079

Boris B. Venkov

Publication date: 1984

Published in: Journal of Soviet Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01670570

zbMATH Keywords

strongly regular graphstheta seriesself-dual codesunimodular quadratic formsminimal vectorssmall root systems

Mathematics Subject Classification ID

Analytic theory (Epstein zeta functions; relations with automorphic forms and functions) (11E45) Quadratic forms over global rings and fields (11E12) Holomorphic modular forms of integral weight (11F11)

Related Items (3)

Even unimodular Euclidean lattices of dimension 32. II ⋮ Examples of even unimodular extremal lattices of rank 40 and their Siegel theta-series of degree 2 ⋮ Configurations of extremal type II codes via harmonic weight enumerators

Cites Work

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• On the enumeration of self-dual codes
• On the classification of integral even unimodular 24-dimensional quadratic forms
• Definite quadratische Formen der Dimension 24 und Diskriminante 1
• Une famille infinie de formes quadratiques entières; leurs groupes d'automorphismes

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