Covering aspects of the Niemeier lattices

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Aug 2019 France, Croatia English Publisher:Elsevier BVJournal:European Journal of Combinatorics, volume 80, pages 102-106 (issn: 0195-6698,

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Authors: Adel Alahmadi; Michel Deza; Mathieu Dutour Sikiric; Patrick Solé;

doi: 10.1016/j.ejc.2018.02.038

Covering aspects of the Niemeier lattices

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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.

Countries

France, Croatia

Related Organizations

King Abdulaziz University
Saudi Arabia
Laboratoire Analyse, Géométrie et Applications
France
Université Paris 13
France
Paris 13 University
France
University of Paris
France

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Keywords

Niemeier lattices, covering radius, [MATH.MATH-CO]Mathematics [math]/Combinatorics [math.CO], Lattices and convex bodies in \(n\) dimensions (aspects of discrete geometry), 004, 510

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