Covering aspects of the Niemeier lattices

Covering aspects of the Niemeier lattices

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 tho...

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Veröffentlicht in:European journal of combinatorics 2019-08, Vol.80, p.102-106
Hauptverfasser: Alahmadi, Adel, Deza, Michel, Sikirić, Mathieu Dutour, Solé, Patrick
Format: Artikel
Sprache:eng
Schlagworte:
Combinatorics
Mathematics
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Zusammenfassung: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.
ISSN:0195-6698
1095-9971
DOI:10.1016/j.ejc.2018.02.038