AbstractWe give a new, elementary, description of the Leech lattice in terms of octonions, thereby providing the first real explanation of the fact that the number of minimal vectors, 196560, can be expressed in the form 3×240×(1+16+16×16). We also give an easy proof that it is an even self-dual lattice
In this project we describe the non-associative finite-dimensional composition algebra called the Oc...
We prove that the $E_8$ root lattice and the Leech lattice are universally optimal among point confi...
AbstractIn this note, we give Z4-code constructions of the Niemeier lattices, showing their embeddin...
AbstractWe give a new, elementary, description of the Leech lattice in terms of octonions, thereby p...
AbstractLet L be a lattice of dimension n≤24 such that the minimal vectors of L form a 6-design and ...
AbstractIt is shown that ann-dimensional unimodular lattice has minimal norm at most 2[n/24]+2, unle...
The contact polytope of a lattice is the convex hull of its shortest vectors. In this paper we class...
AbstractIn this paper a rank 12 even lattice C is constructed which is type 3 (if v ϵ C then (v, v) ...
Let L be a lattice of dimension n ≤ 24 such that the minimal vectors of L form a 6-design and genera...
Consider the partial linear space on the images in ¿/2¿ of the shortest nonzero vectors in the Leech...
In addition to the vertices of the regular hexagon and icosahedron, there are precisely two strictly...
AbstractIt has been found that there is an error in Venkov's proof of the uniqueness of the Leech la...
It is shown that an n-dimensional unimodular lattice has minimal norm at most 2[n/24]+2, unless n=23...
We give a combinatorial proof of a lattice point identity involving a lattice polygon and its dual, ...
We show the first unified description of some of the oldest known geometries such as the Pappus’ the...
In this project we describe the non-associative finite-dimensional composition algebra called the Oc...
We prove that the $E_8$ root lattice and the Leech lattice are universally optimal among point confi...
AbstractIn this note, we give Z4-code constructions of the Niemeier lattices, showing their embeddin...
AbstractWe give a new, elementary, description of the Leech lattice in terms of octonions, thereby p...
AbstractLet L be a lattice of dimension n≤24 such that the minimal vectors of L form a 6-design and ...
AbstractIt is shown that ann-dimensional unimodular lattice has minimal norm at most 2[n/24]+2, unle...
The contact polytope of a lattice is the convex hull of its shortest vectors. In this paper we class...
AbstractIn this paper a rank 12 even lattice C is constructed which is type 3 (if v ϵ C then (v, v) ...
Let L be a lattice of dimension n ≤ 24 such that the minimal vectors of L form a 6-design and genera...
Consider the partial linear space on the images in ¿/2¿ of the shortest nonzero vectors in the Leech...
In addition to the vertices of the regular hexagon and icosahedron, there are precisely two strictly...
AbstractIt has been found that there is an error in Venkov's proof of the uniqueness of the Leech la...
It is shown that an n-dimensional unimodular lattice has minimal norm at most 2[n/24]+2, unless n=23...
We give a combinatorial proof of a lattice point identity involving a lattice polygon and its dual, ...
We show the first unified description of some of the oldest known geometries such as the Pappus’ the...
In this project we describe the non-associative finite-dimensional composition algebra called the Oc...
We prove that the $E_8$ root lattice and the Leech lattice are universally optimal among point confi...
AbstractIn this note, we give Z4-code constructions of the Niemeier lattices, showing their embeddin...
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