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Covering aspects of the Niemeier lattices
Journal article   Peer reviewed

Covering aspects of the Niemeier lattices

Adel Alahmadi, Michel Deza, Mathieu Dutour Sikiric and Patrick Sole
European journal of combinatorics, Vol.80, pp.102-106
01/08/2019
DOI: https://doi.org/10.1016/j.ejc.2018.02.038

Abstract

Mathematics Physical Sciences Science & Technology
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. (C) 2018 Elsevier Ltd. All rights reserved.

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