The Covering Radius of the Leech Lattice
Abstract
We investigate the points in 24dimensional space at maximum distance from the Leech lattice, i.e. the 'deepest holes' in that lattice. The maximum distance of any such point from the Leech lattice is shown to be 1/surd 2 times the minimum distance between the lattice points. Furthermore there are 23 types of 'deepest hole', one for each of the 23 even unimodular 24dimensional lattices found by Niemeier.
 Publication:

Proceedings of the Royal Society of London Series A
 Pub Date:
 April 1982
 DOI:
 10.1098/rspa.1982.0042
 Bibcode:
 1982RSPSA.380..261C