Covering aspects of the Niemeier lattices

被引：0
|
作者：
Alahmadi, Adel [1 ]
Deza, Michel [2 ]
Sikiric, Mathieu Dutour [3 ]
Sole, Patrick [4 ]
机构：
[1] King Abdulaziz Univ, Dept Math, Jeddah, Saudi Arabia
[2] Ecole Normale Super, Paris, France
[3] Rudjer Boskovic Inst, Bijenicka 54, Zagreb 10000, Croatia
[4] Univ Paris 08, CNRS, LAGA, F-93526 St Denis, France
来源：
EUROPEAN JOURNAL OF COMBINATORICS | 2019年 / 80卷
关键词：
D O I：
10.1016/j.ejc.2018.02.038
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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.
引用
收藏
页码：102 / 106
页数：5
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