Perfect lattices as admissible centerings

DOI10.1007/BF01091858zbMath0624.10024MaRDI QIDQ1092088

S. S. Ryshkov, E. P. Baranovskij

Publication date: 1987

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

zbMATH Keywords

quadratic formperfect latticesadmissible centeringslattice packings of equal ballsperfect form

Mathematics Subject Classification ID

Lattices and convex bodies in (n) dimensions (aspects of discrete geometry) (52C07) Lattices and convex bodies (number-theoretic aspects) (11H06) Packing and covering in (n) dimensions (aspects of discrete geometry) (52C17) Lattice packing and covering (number-theoretic aspects) (11H31) Quadratic forms (reduction theory, extreme forms, etc.) (11H55)

Related Items (2)

The Voronoi polyhedra of the rooted lattice E 6 and of its dual lattice ⋮ Construction of Series of Perfect Lattices by Layer Superposition

Cites Work

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• The minimum values of positive quadratic forms in six, seven and eight variables
• On the minimal points of perfect quadratic forms
• The complete enumeration of extreme senary forms
• The construction of perfect and extreme forms I
• The construction of perfect and extreme forms II
• The Enumeration of Perfect Septenary Forms
• On the minimal points of perfect septenary quadratic forms
• On the minimum points of a positive quadratic form
• On perfect and extreme forms
• Extreme Forms
• An Extreme Duodenary Form

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