From error-correcting codes through sphere packings to simple groups
From error-correcting codes through sphere packings to simple groups
复制标题
从纠错码到球体堆积再到简单的群
DOI：
10.5948/upo9781614440215
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发表时间：
1983
期刊：
影响因子：
--
通讯作者：
Thomas M. Thompson
中科院分区：
文献类型：
--
作者：
Thomas M. Thompson
1。错误纠正代码的起源编码锤锤的工作的介绍Leech在e24中的第一次包装的起源Leech的晶格中有一个有趣的小组吗？周六十二个小时的简单组的硬出售，星期三的六个新简单组的结构附录1。密集的已知球包装附录2。 5,8,24）附录3。计算lambda2附录中心的球数数量4。MathieuGroup M24和M22的顺序附录5。引理证明3.3附录6。零星的简单组参考书目索引。
1. The origin of error-correcting codes an introduction to coding the work of Hamming the Hamming-Holbrook patent the Hamming codes are linear the work of Golay the priority controversy 2. From coding to sphere packing an introduction to sphere packing the Leech connection the origin of Leech's first packing in E24 the matrix for Leech's first packing the Leech lattice 3. From sphere packing to new simple groups is there an interesting group in Leech's lattice? the hard sell of a simple group twelve hours on Saturday, six on Wednesday the structure of 0 new simple groups Appendix 1. Densest known sphere packings Appendix 2. Further properties of the (12,24) Golay code and the related Steiner system s (5,8,24) Appendix 3. A calculation of the number of spheres with centers in LAMBDA2 Appendix 4. The Mathieu group M24 and the order of M22 Appendix 5. The proof of lemma 3.3 Appendix 6. The sporadic simple groups Bibliography Index.