秩为40和80的极值型II格的精化组态结果
Refined Configuration Results for Extremal Type II Lattices of Ranks 40 and 80
摘要：
我们证明了，如果L是秩为40或80的极值II型格，则L由其范数为min（L）+2的向量生成。这使Ozeki、第二作者和Abel的早期结果更加尖锐，这些结果表明这样的格L由它们的范数min（L）和min（L）+2的向量生成。
英文摘要：
We show that, if L is an extremal Type II lattice of rank 40 or 80, then L is generated by its vectors of norm min(L)+2. This sharpens earlier results of Ozeki, and the second author and Abel, which showed that such lattices L are generated by their vectors of norms min(L) and min(L)+2.
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。
