The Antipode Construction for Sphere Packings

Mathematics – Combinatorics

Scientific paper

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4 pages

Scientific paper

A construction for sphere packings is introduced that is parallel to the
``anticode'' construction for codes. This provides a simple way to view Vardy's
recent 20-dimensional sphere packing, and also produces packings in dimensions
22, 44--47 that are denser than any previously known.

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