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Construction of $s$-extremal optimal unimodular lattices in dimension 52
Published 5 Dec 2019 in math.CO, cs.IT, math.IT, and math.NT | (1912.02358v1)
Abstract: An $s$-extremal optimal unimodular lattice in dimension $52$ is constructed for the first time. This lattice is constructed from a certain self-dual $\mathbb{F}_5$-code by Construction A. In addition, as neighbors of the lattice, two more $s$-extremal optimal unimodular lattices are constructed.
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