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arXiv · 1812.03197

A $40$-dimensional extremal Type II lattice with no $4$-frames

Norifumi Ojiro
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Abstract

We construct a $40$-dimensional extremal Type II lattice not having any subsets consisting of $40$ orthogonal minimal vectors, and determine the automorphism group. This lattice gives an example different from the $16470$ lattices constructed from binary codes by classical constructions.

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Norifumi Ojiro. 2018-12-07. A $40$-dimensional extremal Type II lattice with no $4$-frames. https://doi.org/10.1016/j.disc.2019.04.017

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