Construction of $s$-extremal optimal unimodular lattices in dimension 52 (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.