Construction of $s$-extremal optimal unimodular lattices in dimension 52
Combinatorics
2020-11-20 v1 Information Theory
math.IT
Number Theory
Abstract
An -extremal optimal unimodular lattice in dimension is constructed for the first time. This lattice is constructed from a certain self-dual -code by Construction A. In addition, as neighbors of the lattice, two more -extremal optimal unimodular lattices are constructed.
Cite
@article{arxiv.1912.02358,
title = {Construction of $s$-extremal optimal unimodular lattices in dimension 52},
author = {Masaaki Harada},
journal= {arXiv preprint arXiv:1912.02358},
year = {2020}
}
Comments
7 pages