Certain lattice neighboring from Barnes-Wall lattice and some laminated lattices
Abstract
Description
We give classifications of integral lattices which include the Barnes-Wall lattice $BW_{16}$ or laminated lattices of dimension $1 \leqslant d \leqslant 8$ and of minimum 4. Also, we give certain lattice neighboring from each lattice. Furthermore, we study spherical designs and the other properties.
20 pages, 9 figures. http://www2.math.kyushu-u.ac.jp/~j.shigezumi/
20 pages, 9 figures. http://www2.math.kyushu-u.ac.jp/~j.shigezumi/