A $40$-dimensional extremal Type II lattice with no $4$-frames
Number Theory
2019-05-28 v2
Abstract
We construct a -dimensional extremal Type II lattice not having any subsets consisting of orthogonal minimal vectors, and determine the automorphism group. This lattice gives an example different from the lattices constructed from binary codes by classical constructions.
Keywords
Cite
@article{arxiv.1812.03197,
title = {A $40$-dimensional extremal Type II lattice with no $4$-frames},
author = {Norifumi Ojiro},
journal= {arXiv preprint arXiv:1812.03197},
year = {2019}
}
Comments
12 pages, 6 tables. Typos corrected. To appear in Discrete Mathematics