Often, high dimensional data lie close to a low-dimensional submanifold and it is of interest to understand the geometry of these submanifolds. The homology groups of a manifold a...
Sivaraman Balakrishnan, Alessandro Rinaldo, Don Sh...
High complexity of lattice construction algorithms and uneasy way of visualising lattices are two important problems connected with the formal concept analysis. Algorithm complexi...
In this paper we present an algorithm for parallel exhaustive search for short vectors in lattices. This algorithm can be applied to a wide range of parallel computing systems. To ...
Jens Hermans, Michael Schneider 0002, Johannes Buc...
This paper is concerned with the minimum distance computation for higher dimensional toric codes defined by lattice polytopes in Rn . We show that the minimum distance is multipli...