Bounds on the covering radius of a lattice

DOI10.1112/S0025579300011657zbMath0854.11033MaRDI QIDQ4895413

Viatcheslav Grishukhin, Michel Marie Deza

Publication date: 19 January 1997

Published in: Mathematika (Search for Journal in Brave)

zbMATH Keywords

covering radiusBarnes-Wall latticeLeech latticeroot latticesDelaunay polytopeminimal vectors

Mathematics Subject Classification ID

Lattices and convex bodies in (n) dimensions (aspects of discrete geometry) (52C07) Packing and covering in (n) dimensions (aspects of discrete geometry) (52C17) Lattice packing and covering (number-theoretic aspects) (11H31)

Cites Work

• The perfect lattices \(\Gamma ({\mathfrak A}^ n)\), and the covering density of \(\Gamma ({\mathfrak A}^ 9)\)