The perfect lattices \(\Gamma ({\mathfrak A}^ n)\), and the covering density of \(\Gamma ({\mathfrak A}^ 9)\)

DOI10.1006/eujc.1994.1036zbMath0805.52010OpenAlexW1974316518MaRDI QIDQ1332354

E. P. Baranovskij

Publication date: 22 September 1994

Published in: European Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/eujc.1994.1036

zbMATH Keywords

lattice coveringsoptimal lattice

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)

Related Items (6)

Unnamed Item ⋮ Bounds on the covering radius of a lattice ⋮ On lattice covering density for \(n = 13\) and \(n = 15\) ⋮ A generalization of Voronoi's reduction theory and its application ⋮ Complexity and algorithms for computing Voronoi cells of lattices ⋮ Delaunay and Voronoi polytopes of the root lattice \(E_{7}\) and of the dual lattice \(E^\ast_{7}\)

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