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Long shortest vectors in low dimensional lattices

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Publication:2005735
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DOI10.1016/j.disc.2020.112138zbMath1453.11090arXiv2006.00461OpenAlexW3084209969MaRDI QIDQ2005735

Florian Pausinger

Publication date: 8 October 2020

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2006.00461


zbMATH Keywords

latticeshortest vectorshortest distancesequences mod m


Mathematics Subject Classification ID

Lattices and convex bodies (number-theoretic aspects) (11H06)



Uses Software

  • Flyspeck
  • kepler98


Cites Work

  • Revisiting the hexagonal lattice: on optimal lattice circle packing
  • Die Reduktionstheorie der positiven quadratischen Formen
  • Lattices modulo \(N\) with long shortest distances
  • A proof of the Kepler conjecture
  • The Kepler Conjecture
  • Lattice Coverings of Space: The Minkowski-Hlawka Theorem
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