BASES OF MINIMAL VECTORS IN LATTICES, III Page 1 International Journal of Number
Theory Vol. 8, No. 2 (2012) 551–567 c World Scientific Publishing Company DOI: 10.1142/S1793042112500303 …

Bases of minimal vectors in lattices, II Page 1 Arch. Math. 89 (2007), 541–551 c© 2007
Birkhäuser Verlag Basel/Switzerland 0003/889X/060541-11, published online 2007-11-09 …

A lattice without a basis of minimal vectors Page 1 A LATTICE WITHOUT A BASIS OF MINIMAL
VECTORS JH CONWAY AND NJA SLOANE Abstract. It is shown that in all dimensions n ^ ll …

We prove that a Euclidean lattice of dimension n≤ 8 which is generated by its minimal
vectors possesses a basis of minimal vectors. Résumé. Nous montrons qu'un réseau …

Nonexistence of Extremal Lattices in Certain Genera of Modular Lattices Page 1 Journal of
Number Theory NT2013 journal of number theory 60, 310 317 (1996) Nonexistence of Extremal …

We classify n-dimensional pairs of dual lattices by their minimal vectors. This leads to the
notion of a" perfect pair", a natural enlargement by duality of the usual notion of a perfect …

Abstract Let a 1, a 2,…, an be natural numbers, and let S be the set of integer coordinate n-
vectors whose jth coordinate lies between zero and aj (inclusive) for each j. Let the distance …

CONFIGURATIONS OF EXTREMAL EVEN UNIMODULAR LATTICES Page 1 International
Journal of Number Theory Vol. 5, No. 3 (2009) 457–464 c© World Scientific Publishing …

Let Λ-be a Euclidean lattice. We study upper bounds for the norm of shortest representatives
of Λ modulo dΛ, d= 2 or 3, as well as the structure of the sets of such vectors with the same …

Consider the classical problem of packin9 equal non-overlappin9 spheres in IR N. Let L be
the set of centers and let A (L) be the density. Set 2 (L)=-(log 2 A (L))/N and call it the density …