Title
Covering aspects of the Niemeier lattices
Abstract
The Niemeier lattices are the 23 unimodular even lattices of norm 2 in dimension 24. We determine computationally their covering radius for 16 of those lattices and give lower bounds for the remaining that we conjecture to be exact. This is achieved by computing the list of Delaunay polytopes of those lattices.
Year
DOI
Venue
2019
10.1016/j.ejc.2018.02.038
European Journal of Combinatorics
Field
DocType
Volume
Discrete mathematics,Combinatorics,Lattice (order),Polytope,Unimodular matrix,Conjecture,Mathematics,Delaunay triangulation
Journal
80
ISSN
Citations 
PageRank 
0195-6698
0
0.34
References 
Authors
4
4
Name
Order
Citations
PageRank
Adel Alahmadi12411.27
Michel Deza200.34
Mathieu Dutour Sikiric3184.50
Patrick Solé44512.57