Codes and lattices
Codes and lattices
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代码和格子
DOI：
10.1109/isit.1998.708577
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发表时间：
1998
期刊：
影响因子：
--
通讯作者：
N. Sloane
中科院分区：
文献类型：
--
作者：
N. Sloane
仅提供摘要形式。作者报告的进展香农的老问题，找到最好的方式包装台球在n=2WT维。由于许多人的努力，我们现在可能在前64维中有相当好的包装。许多（但不是全部）新的构造使用了码，尽管我们现在必须允许环上的码和域上的码。
Summary form only given. The author reports on the progress on Shannon's old problem of finding the best way to pack billiard balls in n=2WT dimensions. Thanks to the efforts of a number of people, we now have reasonably good packings in perhaps the first 64 dimensions. Many-but not all-of the new constructions make use of codes, although we now have to allow codes over rings as well as fields.