Unimodular lattices with long shadow

Journal of Number Theory

Volumn 99, Issue 2, 2003, Pages 307-317

  Nebe, Gabriele ^a   Venkov, Boris ^b  

^a UNIVERSITY OF ULM   (Germany)

^b STEKLOV MATHEMATICAL INSTITUTE   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0037396523     PISSN: 0022314X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0022-314X(02)00079-3     Document Type: Article

References (9)

1. R. Bacher, B. Venkov, Réseaux entiers unimodulaires sans racines en dimension 27 et 28, in: J. Martinet (Ed.), Réseaux euclidiens, designs sphériques et formes modulaires, L'Enseignement Mathématique, Geneva, Monographie, Vol. 37, 2001, pp. 212-267.
2. C. Bachoc, P. Gaborit, Designs and self-dual codes with long shadows, preprint.
3. R.E. Borcherds, The Leech lattice and other lattices, Thesis, Trinity College, Cambridge, 1984.
4. J.H. Conway, N.J.A. Sloane, Sphere Packings, Lattices and Groups, 3rd Edition, Springer, Berlin, 1999.
5. N.D. Elkies, Lattices and codes with long shadows, Math. Res. Lett. 2 (5) (1995) 643-651.
6. n-lattice, Math. Res. Lett. 2 (3) (1995) 321-326.
7. M. Gaulter, Lattices without short characteristic vectors, Math. Res. Lett. 5 (3) (1998) 353-362.
8. O.D. King, A Mass formula for unimodular lattices with no roots, preprint, ArXiv:math.NT/0012231 (2000), Math. Comp., to appear.
9. R.A. Rankin, Modular Forms and Functions, Cambridge University Press, Cambridge, 1977.