The sphere packing problem in dimension 8

Abstract

In this paper we prove that no packing of unit balls in Euclidean space ${\mathbb{R}}^8$ has density greater than that of the $E_8$-lattice packing.

22 pages, 2 figures

References in corpus (2)

• The sphere packing problem in dimension 24
• Some properties of optimal functions for sphere packing in dimensions 8 and 24

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