We give a detailed description of the Voronoi region of the Barnes-Wall lattice $\Lambda_{16}$, including its vertices, relevant vectors, and symmetry group. The exact value of its quantizer constant is calculated, which was previously only known approximately. To verify the result, we estimate the same constant numerically and propose a new very simple method to quantify the variance of such estimates, which is far more accurate than the commonly used jackknife estimator.

翻译：我们详细描述Barnes-Wall Lattice $\Lambda}16}$的Voronoi地区,包括它的脊椎、相关矢量和对称组。其量化常量的准确值是计算出来的,以前只是大致知道这一点。为了核实结果,我们用数字来估计同样的不变值,并提出一个新的非常简单的方法来量化这些估计值的差异,这比常用的 jknife 估计值要准确得多。