We classify the dual strongly perfect lattices in dimension 16. There are four pairs of such lattices, the famous Barnes-Wall lattice $\Lambda _{16}$, the extremal 5-modular lattice $N_{16}$, the odd Barnes-Wall lattice $O_{16}$ and its dual, and one pair of new lattices $\Gamma _{16}$ and its dual. The latter pair belongs to a new infinite series of dual strongly perfect lattices, the sandwiched Barnes-Wall lattices, described by the authors in a previous paper. An updated table of all known strongly perfect lattices up to dimension 26 is available in the catalogue of lattices.

中文翻译：

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低维强完美格IV：16维的对偶强完美格

我们在第 16 维对对偶强完美格进行分类。 有四对这样的格，著名的 Barnes-Wall 格 $\Lambda _{16}$，极值 5-模格 $N_{16}$，奇数 Barnes -壁格 $O_{16}$ 及其对偶，以及一对新格子 $\Gamma _{16}$ 及其对偶。后一对属于一个新的对偶强完美格的无限系列，即夹心巴恩斯墙格，作者在之前的一篇论文中描述过。晶格目录中提供了所有已知的强完美晶格的更新表，最多维数为 26。