Certain lattice neighboring from Barnes-Wall lattice and some laminated lattices

Junichi Shigezumi

Certain lattice neighboring from Barnes-Wall lattice and some laminated lattices

Combinatorics 2009-01-26 v2

Authors: Junichi Shigezumi

Abstract

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.

Keywords

integral lattices barnes-wall lattice laminated lattices lattice neighboring spherical designs minimum norm

Cite

@article{arxiv.0901.3599,
  title  = {Certain lattice neighboring from Barnes-Wall lattice and some laminated lattices},
  author = {Junichi Shigezumi},
  journal= {arXiv preprint arXiv:0901.3599},
  year   = {2009}
}

Comments

20 pages, 9 figures. http://www2.math.kyushu-u.ac.jp/~j.shigezumi/

Certain lattice neighboring from Barnes-Wall lattice and some laminated lattices

Abstract

Keywords

Cite

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