An optimal odd unimodular lattice in dimension 72
An optimal odd unimodular lattice in dimension 72
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DOI：
10.1007/s00013-011-0333-3
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发表时间：
2011-08
影响因子：
0.6
通讯作者：
M. Harada;T. Miezaki
中科院分区：
文献类型：
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作者：
M. Harada;T. Miezaki
结果表明，如果在 72 维存在极值偶单模格子，则在该维存在最优奇单模格子。因此，72 维最优奇单模格子的第一个例子是根据 G. Nebe 最近发现的极值偶单模格子构造的。
It is shown that if there is an extremal even unimodular lattice in dimension 72, then there is an optimal odd unimodular lattice in that dimension. Hence, the first example of an optimal odd unimodular lattice in dimension 72 is constructed from the extremal even unimodular lattice which has been recently found by G. Nebe.