Improved sphere packing lower bounds from Hurwitz lattices

Details Improved sphere packing lower bounds from Hurwitz lattices Improved sphere packing lower bounds from Hurwitz lattices

2011-05-19

arxiv.org/abs/1105.3779v1

Advances in Mathematics 227 (2011), pp. 2144-2156

Mathematics

Metric Geometry

12 pages

Scientific paper

10.1016/j.aim.2011.04.016

In this paper we prove an asymptotic lower bound for the sphere packing
density in dimensions divisible by four. This asymptotic lower bound improves
on previous asymptotic bounds by a constant factor and improves not just lower
bounds for the sphere packing density, but also for the lattice sphere packing
density and, in fact, the Hurwitz lattice sphere packing density.

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