Certain lattice neighboring from Barnes-Wall lattice and some laminated lattices
Junichi Shigezumi · arXiv (Cornell University) · 2009
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.