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A Construction of an Extremal Even Unimodular Lattice of Rank 8888

Ryotaro Sakamoto

Source record

Source: arXiv

Published: Sep 14, 2026

arXiv: 2609.15633

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Source abstract

In this paper, we construct a positive definite extremal even unimodular lattice of rank 8888. 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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A Construction of an Extremal Even Unimodular Lattice of Rank $88$ — Mathematical Frontier Network