New asymptotic bounds on the size of multiple packings of the Euclidean sphere

DOI10.1007/S00454-011-9336-XzbMath1235.52028OpenAlexW2124291447MaRDI QIDQ650105

Vladimir Blinovsky, Simon N. Litsyn

Publication date: 25 November 2011

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

Full work available at URL: https://doi.org/10.1007/s00454-011-9336-x

zbMATH Keywords

spherical codessphere packingsmultiple packings

Mathematics Subject Classification ID

Linear programming (90C05) Other types of codes (94B60) Packing and covering in (n) dimensions (aspects of discrete geometry) (52C17) Applications of the theory of convex sets and geometry of numbers (covering radius, etc.) to coding theory (94B75)

Cites Work

• Unnamed Item
• A new upper bound on the reliability function of the Gaussian channel
• An Improved Bound on the List Error Probability and List Distance Properties
• Improved Upper Bounds on the Reliability Function of the Gaussian Channel
• Multiple packing of the Euclidean sphere
• Multiple packing of spherical caps

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