Lattices and association schemes: a unimodular example without roots in dimension 28
Bacher, Roland ; Venkov, Boris
Annales de l'Institut Fourier, Tome 45 (1995), p. 1163-1176 / Harvested from Numdam
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On peut obtenir certains réseaux intéressants à partir de schémas d’association. Nous construisons un tel réseau sans racines en dimension 28 qui admet Sp (6,𝔽 3 )·2 comme groupe d’automorphismes.

Some interesting lattices can be constructed using association schemes. We illustrate this by a unimodular lattice without roots of dimension 28 which admits Sp (6,𝔽 3 )·2 as its automorphism group.

@article{AIF_1995__45_5_1163_0,
     author = {Bacher, Roland and Venkov, Boris},
     title = {Lattices and association schemes: a unimodular example without roots in dimension 28},
     journal = {Annales de l'Institut Fourier},
     volume = {45},
     year = {1995},
     pages = {1163-1176},
     doi = {10.5802/aif.1490},
     mrnumber = {96j:11093},
     zbl = {0843.11033},
     language = {en},
     url = {http://dml.mathdoc.fr/item/AIF_1995__45_5_1163_0}
}

Bacher, Roland; Venkov, Boris. Lattices and association schemes: a unimodular example without roots in dimension 28. Annales de l'Institut Fourier, Tome 45 (1995) pp. 1163-1176. doi : 10.5802/aif.1490. http://gdmltest.u-ga.fr/item/AIF_1995__45_5_1163_0/

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