%0 Journal Article %T Certain lattice neighboring from Barnes-Wall lattice and some laminated lattices %A Junichi Shigezumi %J Mathematics %D 2009 %I arXiv %X 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. %U http://arxiv.org/abs/0901.3599v2