Upper and Lower Bounds for the Voronoi–Minkowski constant

We study the behavior of the constant $C(s)$ as $s\to\infty$ arising in the estimate of the number of relative minima of $s$-dimensional integer lattices $\Gamma$ via the logarithm $\log_2N$ raised to the $s-1$th power, where $N=D(\Gamma)$ is the determinant of $\Gamma$.