44 citations · 182 across the 28 of their papers we have counts for
12 papers · 1 filter
A non-lattice periodic point set beating the optimal lattice packing-covering constant in dimension five
Sven Ahrend, Mathieu Dutour Sikirić
The packing-covering constant of a point set is , the covering radius divided by the packing radius. Among lattices, its minimum is k…
The joint weight enumerator of an LCD code and its dual
Adel Alahmadi, Michel Deza, Mathieu Dutour Sikirić +1
A binary linear code is called {\em LCD} if it intersects its dual trivially. We show that the coefficients of the joint weight enumerator of such a code with its dual satisfy line…
Hypercube emulation of interconnection networks topologies
Adel Alahmadi, Husain Alhazmi, Shakir Ali +3
We address various topologies (de Bruijn, chordal ring, generalized Petersen, meshes) in various ways ( isometric embedding, embedding up to scale, embedding up to a distance) in a…
The seven dimensional perfect Delaunay polytopes and Delaunay simplices
Mathieu Dutour Sikiric
For a lattice of , a sphere of center and radius is called {\em empty} if for any we have . Then the set …
New results on torus cube packings and tilings
Mathieu Dutour Sikirić, Yoshiaki Itoh
We consider sequential random packing of integral translate of cubes into the torus . Two special cases are of special interest: (i) The case which cor…
Voronoi Polytopes for Polyhedral Norms on Lattices
Michel Deza, Mathieu Dutour Sikirić
A polyhedral norm is a norm N on R^n for which the set N(x)\leq 1 is a polytope. This covers the case of the L^1 and L^{\infty} norms. We consider here effective algorithms for det…