PAPER / ARXIV:2609.15633

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

Ryotaro Sakamoto

Combinatória · cruzada Teoria dos números

RESUMO

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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