A cyclotomic construction for Leech's lattice

DOI10.1112/S0025579300009475zbMath0413.10024MaRDI QIDQ4200145

Maurice Craig

Publication date: 1979

Published in: Mathematika (Search for Journal in Brave)

zbMATH Keywords

quadratic formsgroups of automorphismsarithmetic minimumcyclotomic constructionLeech's lattice

Mathematics Subject Classification ID

Lattices and convex bodies (number-theoretic aspects) (11H06) Quadratic forms (reduction theory, extreme forms, etc.) (11H55)

Related Items (6)

Upper bounds for Euclidean minima of algebraic number fields ⋮ A new number field construction of the lattice \(E_8\) ⋮ On a generalization of Craig lattices ⋮ On a refinement of Craig's lattices ⋮ Cyclotomic modular lattices ⋮ Algebraic constructions of densest lattices

Cites Work

• A characterisation of Leech's lattice
• Definite quadratische Formen der Dimension 24 und Diskriminante 1
• Some Sphere Packings in Higher Space
• Notes on Sphere Packings
• A Group of Order 8,315,553,613,086,720,000

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