| [1] |
Kanat Abdukhalikov.
Unimodular Hermitian lattices.
Mathematisches Forschungsinstitut Oberwolfach Report No.
1/2005, pages 27–30, 2005. |
| [2] |
Christine Bachoc and Gabriele Nebe.
Classification of two genera of 32-dimensional lattices of rank 8
over the Hurwitz order.
Experiment. Math., 6(2):151–162, 1997. |
| [3] |
Christine Bachoc and Boris Venkov.
Modular forms, lattices and spherical designs.
In Réseaux euclidiens, designs sphériques et formes
modulaires, volume 37 of Monogr. Enseign. Math., pages 87–111.
Enseignement Math., Geneva, 2001. |
| [4] |
Werner Backes and Susanne Wetzel.
Heuristics on lattice basis reduction in practice.
ACM J. Exp. Algorithmics, 7:21 pp. (electronic), 2002. |
| [5] |
Robin Chapman, Steven T. Dougherty, Philippe Gaborit, and Patrick Solé.
2-modular lattices from ternary codes.
J. Théor. Nombres Bordeaux, 14(1):73–85, 2002. |
| [6] |
J. H. Conway and N. J. A. Sloane.
Sphere Packings, Lattices and Groups, volume 290 of Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of
Mathematical Sciences].
Springer-Verlag, New York, third edition, 1999. |
| [7] |
C. Fieker and M. E. Pohst.
On lattices over number fields.
In Algorithmic Number Theory (Talence, 1996), volume 1122
of Lecture Notes in Comput. Sci., pages 133–139. Springer, Berlin,
1996. |
| [8] |
Philippe Gaborit.
Construction of new extremal unimodular lattices.
European J. Combin., 25(4):549–564, 2004. |
| [9] |
Masaaki Harada, Masaaki Kitazume, Akihiro Munemasa, and Boris Venkov.
On some self-dual codes and unimodular lattices in dimension 48.
European J. Combin., 26(5):543–557, 2005. |
| [10] |
Masaaki Harada, Masaaki Kitazume, and Michio Ozeki.
Ternary code construction of unimodular lattices and self-dual codes
over Z6.
J. Algebraic Combin., 16(2):209–223, 2002. |
| [11] |
Boris Hemkemeier.
Algorithmische konstruktionen von gittern.
arXiv:math.MG/0411134, 64 pages, 2004. |
| [12] |
Gabriele Nebe.
Finite quaternionic matrix groups.
Represent. Theory, 2:106–223 (electronic), 1998. |
| [13] |
Gabriele Nebe.
Even lattices with covering radius <√2.
Beiträge Algebra Geom., 44(1):229–234, 2003. |
| [14] |
Gabriele Nebe.
Strongly modular lattices with long shadow.
J. Théor. Nombres Bordeaux, 16(1):187–196, 2004. |
| [15] |
Gabriele Nebe and Kristina Schindelar.
S-extremal strongly modular lattices.
Preprint, 16 pages, 2006. |
| [16] |
Gabriele Nebe and Boris Venkov.
The strongly perfect lattices of dimension 10.
J. Théor. Nombres Bordeaux, 12(2):503–518, 2000. |
| [17] |
Gabriele Nebe and Boris Venkov.
Low-dimensional strongly perfect lattices I: The 12-dimensional
case.
Enseign. Math. (2), 51(1-2):129–163, 2005. |
| [18] |
Phong Q. Nguên and Damien Stehlé.
Floating-point LLL revisited.
In Advances in Cryptology - Eurocrypt 2005, Lecture Notes in
Computer Science, pages 215–233. Springer Berlin/Heidelberg, 2005. |
| [19] |
W. Plesken and M. Pohst.
Constructing integral lattices with prescribed minimum. I.
Math. Comp., 45(171):209–221, S5–S16, 1985. |
| [20] |
E. M. Rains and N. J. A. Sloane.
The shadow theory of modular and unimodular lattices.
J. Number Theory, 73(2):359–389, 1998. |
| [21] |
Achill Schürmann and Frank Vallentin.
Local covering optimality of lattices: Leech lattice versus root
lattice E8.
Int. Math. Res. Not., (32):1937–1955, 2005. |
| [22] |
Mathieu Dutour Sikirić, Achill Schürmann, and Frank Vallentin.
Classification of eight-dimensional perfect forms.
Electron. Res. Announc. Amer. Math. Soc., 13:21–32
(electronic), 2007. |
| [23] |
Mathieu Dutour Sikirić, Achill Schürmann, and Frank Vallentin.
A generalization of Voronoi's reduction theory and its application.
Duke Math. J., To appear, 2007. |
| [24] |
N. J. A. Sloane, R. H. Hardin, T. D. S. Duff, and J. H. Conway.
Minimal-energy clusters of hard spheres.
Discrete Comput. Geom., 14(3):237–259, 1995. |
| [25] |
Gilles Villard.
Certification of the QR factor R, and of lattice basis
reducedness.
arXiv:cs.SC/0701183, 22 pages, 2007. |
