Certain lattice neighboring from Barnes-Wall lattice and some laminated lattices
classification
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keywords
latticelatticesbarnes-wallcertaingivelaminatedleqslantneighboring
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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.
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