EXTREMAL LATTICES OF MINIMUM-8 RELATED TO THE MATHIEU-GROUP M-22

Authors
BACHOC C NEBE G
Citation
C. Bachoc et G. Nebe, EXTREMAL LATTICES OF MINIMUM-8 RELATED TO THE MATHIEU-GROUP M-22, Journal fur die Reine und Angewandte Mathematik, 494, 1998, pp. 155-171
Citations number
21
Categorie Soggetti
Mathematics,Mathematics
Journal title
Journal fur die Reine und Angewandte Mathematik → ACNP
ISSN journal
00754102
Volume
494
Year of publication
1998
Pages
155 - 171
Database
ISI
SICI code
0075-4102(1998)494:<155:ELOMRT>2.0.ZU;2-0
Abstract
In this paper, we construct three new extremal lattices of minimum 8; one is 3-modular and of dimension 40, the two others are unimodular of dimension 80. They are strongly connected to the 20-dimensional latti ce with automorphism group isomorphic to 2.M-22.2.