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arxiv: math/0207182 · v1 · pith:5UIM4B4Qnew · submitted 2002-07-21 · 🧮 math.CO

The Antipode Construction for Sphere Packings

classification 🧮 math.CO
keywords constructionpackingssphereanticodeantipodecodesdenserdimensional
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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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