Improved sphere packing lower bounds from Hurwitz lattices
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Publication:549223
DOI10.1016/j.aim.2011.04.016zbMath1228.11095arXiv1105.3779OpenAlexW2008929884MaRDI QIDQ549223
Publication date: 7 July 2011
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1105.3779
Lattices and convex bodies in (n) dimensions (aspects of discrete geometry) (52C07) Packing and covering in (n) dimensions (aspects of discrete geometry) (52C17) Lattice packing and covering (number-theoretic aspects) (11H31) Combinatorial aspects of packing and covering (05B40)
Related Items (11)
The Gaussian core model in high dimensions ⋮ The local optimality of the double lattice packing ⋮ Random algebraic lattices and codes for wireless communications ⋮ High-dimensional sphere packing and the modular bootstrap ⋮ On kissing numbers and spherical codes in high dimensions ⋮ Sphere packing bounds via spherical codes ⋮ ON THE HARD SPHERE MODEL AND SPHERE PACKINGS IN HIGH DIMENSIONS ⋮ Abelian varieties and a Minkowski-Hlawka theorem ⋮ Coloring the Voronoi tessellation of lattices ⋮ Lattice packings through division algebras ⋮ On the density of cyclotomic lattices constructed from codes
Uses Software
Cites Work
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- What are all the best sphere packings in low dimensions?
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- Existence theorems in the geometry of numbers
- New Conjectural Lower Bounds on the Optimal Density of Sphere Packings
- A Mordell inequality for lattices over maximal orders
- Algorithmic Number Theory
- On the geometry of numbers
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