Local Covering Optimality of Lattices: Leech Lattice versus Root Lattice E8

DOI10.1155/IMRN.2005.1937zbMath1156.11324arXivmath/0405441OpenAlexW1842400606MaRDI QIDQ5714612

Frank Vallentin, Achill Schürmann

Publication date: 3 January 2006

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0405441

zbMATH Keywords

covering densityDelone subdivisionLeech coveringnew \(8\)-dimensional lattice

Mathematics Subject Classification ID

Lattice packing and covering (number-theoretic aspects) (11H31)

Related Items (5)

Periodic triangulations of \(\mathbb{Z}^{n}\) ⋮ Random sequential covering ⋮ Inhomogeneous extreme forms ⋮ Covering and Packing with Spheres by Diagonal Distortion in ℝ n ⋮ A generalization of Voronoi's reduction theory and its application

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