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arXiv math/0207182math.CO
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球形填充的对极构造

The Antipode Construction for Sphere Packings

J. H. Conway, N. J. A. Sloane

摘要:

介绍了一种与码的“反码”构造并行的球填充构造。这提供了一个简单的方法来查看瓦迪最近的20维球体包装,也产生了包装的尺寸22,44- 47比任何以前已知的密度。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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