We consider parallel algorithms for computing the Hermite normal form of matrices over Euclidean rings. We use standard types of reduction methods which are the basis of many algor...
Abstract. Symmetry properties of r-times covariant tensors T can be described by certain linear subspaces W of the group ring K[Sr] of a symmetric group Sr. If for a class of tenso...
Lattices over number elds arise from a variety of sources in algorithmic algebra and more recently cryptography. Similar to the classical case of Z-lattices, the choice of a nice,...
Abstract. New algorithms are described and analysed for solving various problems associated with a large integer matrix: computing the Hermite form, computing a kernel basis, and s...
Mark Giesbrecht, Michael J. Jacobson Jr., Arne Sto...