Lattices and association schemes: a unimodular example without roots in dimension 28
Annales de l'Institut Fourier, Tome 45 (1995) no. 5, pp. 1163-1176

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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.

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.

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     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},
     pages = {1163--1176},
     publisher = {Association des Annales de l{\textquoteright}institut Fourier},
     volume = {45},
     number = {5},
     year = {1995},
     doi = {10.5802/aif.1490},
     mrnumber = {96j:11093},
     zbl = {0843.11033},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.5802/aif.1490/}
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Bacher, Roland; Venkov, Boris. Lattices and association schemes: a unimodular example without roots in dimension 28. Annales de l'Institut Fourier, Tome 45 (1995) no. 5, pp. 1163-1176. doi: 10.5802/aif.1490

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