Low dimensional strongly perfect lattices. II: Dual strongly perfect lattices of dimension 13 and 15.
Journal de Théorie des Nombres de Bordeaux, Tome 25 (2013) no. 1, pp. 147-161.

Un réseau est dual fortement parfait si le réseau et son dual sont fortement parfaits. On démontre qu’il n’y a pas de réseau dual fortement parfait en dimension 13 et 15.

A lattice is called dual strongly perfect if both, the lattice and its dual, are strongly perfect. We show that there are no dual strongly perfect lattices of dimension 13 and 15.

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DOI : https://doi.org/10.5802/jtnb.830
Classification : 11H06,  11H55
Mots clés : extreme lattices, spherical designs, strongly perfect lattices, dual strongly perfect lattices
@article{JTNB_2013__25_1_147_0,
     author = {Gabriele Nebe and Elisabeth Nossek and Boris Venkov},
     title = {Low dimensional strongly perfect lattices.  {II:} {Dual} strongly perfect lattices of dimension 13 and 15.},
     journal = {Journal de Th\'eorie des Nombres de Bordeaux},
     pages = {147--161},
     publisher = {Soci\'et\'e Arithm\'etique de Bordeaux},
     volume = {25},
     number = {1},
     year = {2013},
     doi = {10.5802/jtnb.830},
     zbl = {1271.11069},
     mrnumber = {3063835},
     language = {en},
     url = {https://jtnb.centre-mersenne.org/articles/10.5802/jtnb.830/}
}
Gabriele Nebe; Elisabeth Nossek; Boris Venkov. Low dimensional strongly perfect lattices.  II: Dual strongly perfect lattices of dimension 13 and 15.. Journal de Théorie des Nombres de Bordeaux, Tome 25 (2013) no. 1, pp. 147-161. doi : 10.5802/jtnb.830. https://jtnb.centre-mersenne.org/articles/10.5802/jtnb.830/

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