Geodesic
Low dimensional strongly perfect lattices. II: Dual strongly perfect lattices of dimension 13 and 15.
Nebe, Gabriele1 ; Nossek, Elisabeth1 ; Venkov, Boris2
1Lehrstuhl D für Mathematik RWTH Aachen University 52056 Aachen Germany
2Boris Venkov died in November 2011 before we could finish the paper
Journal de théorie des nombres de Bordeaux, Tome 25 (2013) no. 1, pp. 147-161
Cet article a éte moissonné depuis la source Numdam

Voir la notice de l'article

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.

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.

DOI : 10.5802/jtnb.830
Classification : 11H06, 11H55
Keywords: extreme lattices, spherical designs, strongly perfect lattices, dual strongly perfect lattices

Nebe, Gabriele  1   ; Nossek, Elisabeth  1   ; Venkov, Boris  2

1 Lehrstuhl D für Mathematik RWTH Aachen University 52056 Aachen Germany
2 Boris Venkov died in November 2011 before we could finish the paper 
@article{JTNB_2013__25_1_147_0,
     author = {Nebe, Gabriele and Nossek, Elisabeth and Venkov, Boris},
     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},
     year = {2013},
     publisher = {Soci\'et\'e Arithm\'etique de Bordeaux},
     volume = {25},
     number = {1},
     doi = {10.5802/jtnb.830},
     zbl = {1271.11069},
     mrnumber = {3063835},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.5802/jtnb.830/}
}
TY  - JOUR
AU  - Nebe, Gabriele
AU  - Nossek, Elisabeth
AU  - Venkov, Boris
TI  - Low dimensional strongly perfect lattices.  II: Dual strongly perfect lattices of dimension 13 and 15.
JO  - Journal de théorie des nombres de Bordeaux
PY  - 2013
SP  - 147
EP  - 161
VL  - 25
IS  - 1
PB  - Société Arithmétique de Bordeaux
UR  - http://geodesic.mathdoc.fr/articles/10.5802/jtnb.830/
DO  - 10.5802/jtnb.830
LA  - en
ID  - JTNB_2013__25_1_147_0
ER  - 
%0 Journal Article
%A Nebe, Gabriele
%A Nossek, Elisabeth
%A Venkov, Boris
%T Low dimensional strongly perfect lattices.  II: Dual strongly perfect lattices of dimension 13 and 15.
%J Journal de théorie des nombres de Bordeaux
%D 2013
%P 147-161
%V 25
%N 1
%I Société Arithmétique de Bordeaux
%U http://geodesic.mathdoc.fr/articles/10.5802/jtnb.830/
%R 10.5802/jtnb.830
%G en
%F JTNB_2013__25_1_147_0
Nebe, Gabriele; Nossek, Elisabeth; Venkov, Boris. 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

Cité par Sources :