AbstractLet L be a lattice of dimension n≤24 such that the minimal vectors of L form a 6-design and generate L. Then L is similar to either the root lattice E8, the Barnes–Wall lattice BW16, the Leech lattice Λ24, or n=23. For n=23 we conjecture that the only possibilities for L are the shorter Leech lattice O23 or its even sublattice Λ23
Consider the partial linear space on the images in ¿/2¿ of the shortest nonzero vectors in the Leech...
A lattice of rank k in n-dimensional Euclidean space has a shortest basis, which possesses many imp...
AbstractWe prove a conjecture of Chung, Graham, and Gardner (Math. Mag.62(1989), 83–96), giving the ...
Let L be a lattice of dimension n ≤ 24 such that the minimal vectors of L form a 6-design and genera...
AbstractLet L be a lattice of dimension n≤24 such that the minimal vectors of L form a 6-design and ...
Abstract. It is shown that in all dimensions n ^ l l there exists a lattice which is generated by it...
AbstractWe give a new, elementary, description of the Leech lattice in terms of octonions, thereby p...
AbstractIt is shown that ann-dimensional unimodular lattice has minimal norm at most 2[n/24]+2, unle...
Unlike block codes, the number of distinct paths on the trellis diagrams of lattices (N) depends hig...
We prove that all Euclidean lattices of dimension n≤9 which are generated by their minimal vectors, ...
AbstractIn this note we show that root lattices are all and only those lattices in which the set of ...
AbstractIn this paper a rank 12 even lattice C is constructed which is type 3 (if v ϵ C then (v, v) ...
Lenstra, Lenstra, and Lov´asz in [7] proved several inequalities showing that the vectors in an LLL-...
© The Author(s) 2010. This article is published with open access at Springerlink.com Abstract The co...
The contact polytope of a lattice is the convex hull of its shortest vectors. In this paper we class...
Consider the partial linear space on the images in ¿/2¿ of the shortest nonzero vectors in the Leech...
A lattice of rank k in n-dimensional Euclidean space has a shortest basis, which possesses many imp...
AbstractWe prove a conjecture of Chung, Graham, and Gardner (Math. Mag.62(1989), 83–96), giving the ...
Let L be a lattice of dimension n ≤ 24 such that the minimal vectors of L form a 6-design and genera...
AbstractLet L be a lattice of dimension n≤24 such that the minimal vectors of L form a 6-design and ...
Abstract. It is shown that in all dimensions n ^ l l there exists a lattice which is generated by it...
AbstractWe give a new, elementary, description of the Leech lattice in terms of octonions, thereby p...
AbstractIt is shown that ann-dimensional unimodular lattice has minimal norm at most 2[n/24]+2, unle...
Unlike block codes, the number of distinct paths on the trellis diagrams of lattices (N) depends hig...
We prove that all Euclidean lattices of dimension n≤9 which are generated by their minimal vectors, ...
AbstractIn this note we show that root lattices are all and only those lattices in which the set of ...
AbstractIn this paper a rank 12 even lattice C is constructed which is type 3 (if v ϵ C then (v, v) ...
Lenstra, Lenstra, and Lov´asz in [7] proved several inequalities showing that the vectors in an LLL-...
© The Author(s) 2010. This article is published with open access at Springerlink.com Abstract The co...
The contact polytope of a lattice is the convex hull of its shortest vectors. In this paper we class...
Consider the partial linear space on the images in ¿/2¿ of the shortest nonzero vectors in the Leech...
A lattice of rank k in n-dimensional Euclidean space has a shortest basis, which possesses many imp...
AbstractWe prove a conjecture of Chung, Graham, and Gardner (Math. Mag.62(1989), 83–96), giving the ...
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