Construction of s-extremal optimal unimodular lattices in dimension 52
Masaaki Harada · International Journal of Computer Mathematics Computer Systems Theory · 2020
An s-extremal optimal unimodular lattice in dimension 52 is constructed for the first time. This lattice is constructed from a certain self-dual F5-code by Construction A. In addition, as neighbours of the lattice, two more s-extremal optimal unimodular lattices are constructed.