no. 3
A note on Quebbemann’s extremal lattices of rank 64
Shimada, Ichiro1
1 Department of Mathematics, Graduate School of Science, Hiroshima University, 1-3-1 Kagami-yama, Higashi-Hiroshima, 739-8526, Japan
Journal de théorie des nombres de Bordeaux, Tome 34 (2022) no. 3, pp. 813-826.

En construisant des exemples explicites, nous montrons que la méthode de Quebbemann permet d’obtenir de nombreuses classes d’isomorphisme de réseaux extrémaux de dimension 64. Beaucoup de ces exemples n’ont pas d’automorphismes non triviaux.

By constructing explicit examples, we show that the method of Quebbemann yields many isomorphism classes of extremal lattices of rank 64. Many of these examples have no non-trivial automorphisms.

Reçu le :
Accepté le :
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DOI : 10.5802/jtnb.1229
Classification : 11H31, 11H56
Mots clés : extremal lattice
Shimada, Ichiro 1

1 Department of Mathematics, Graduate School of Science, Hiroshima University, 1-3-1 Kagami-yama, Higashi-Hiroshima, 739-8526, Japan 
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Shimada, Ichiro. A note on Quebbemann’s extremal lattices of rank $64$. Journal de théorie des nombres de Bordeaux, Tome 34 (2022) no. 3, pp. 813-826. doi : 10.5802/jtnb.1229. http://www.numdam.org/articles/10.5802/jtnb.1229/

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