On the lattice Hadwiger number of superballs and some other bodies

DOI10.1007/s00454-020-00261-5zbMath1483.11137arXiv1905.11126OpenAlexW3118286720MaRDI QIDQ2230921

S. G. Vleduts

Publication date: 29 September 2021

Published in: Discrete \& Computational Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1905.11126

zbMATH Keywords

latticekissing numbererror-correcting codeHadwiger number

Mathematics Subject Classification ID

Packing and covering in (n) dimensions (aspects of discrete geometry) (52C17) Lattice packing and covering (number-theoretic aspects) (11H31) Applications to coding theory and cryptography of arithmetic geometry (14G50) Combinatorial aspects of packing and covering (05B40) Relations with coding theory (11H71)

Cites Work

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• On the packing densities of superballs and other bodies
• Exponential lower bound for the translative kissing numbers of \(d\)-dimensional convex bodies
• A tower of Artin-Schreier extensions of function fields attaining the Drinfeld-Vladut bound
• Combinatorial distance geometry in normed spaces
• Lattices with exponentially large kissing numbers
• New Lattice Packings of Spheres
• Further lattice packings in high dimensions
• Some Sphere Packings in Higher Space
• Linear codes with exponentially many light vectors

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