A Gilbert-Varshamov type bound for Euclidean packings
Gabriele Nebe, Chaoping Xing · Mathematics of Computation · 2008
This paper develops a method to obtain a Gilbert-Varshamov type bound for dense packings in the Euclidean spaces using suitable lattices. For the Leech lattice the obtained bounds are quite reasonable for large dimensions, better than the Minkowski-Hlawka bound, but not as good as the lower bound given by Keith Ball in 1992.