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

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.

arXiv comment7 pages