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arXiv · 2609.15633

A Construction of an Extremal Even Unimodular Lattice of Rank $88$

Ryotaro Sakamoto
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Abstract

In this paper, we construct a positive definite extremal even unimodular lattice of rank $88$. We further show that this lattice is extreme, and hence that the density of the corresponding lattice sphere packing is locally maximal.

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Ryotaro Sakamoto. 2026-09-14. A Construction of an Extremal Even Unimodular Lattice of Rank $88$. https://arxiv.org/abs/2609.15633

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