| Download it now as a PDF |
|---|
| Science Direct (link to paper in the journal) |
Abstract
| This paper is about how to compute the Hermite normal form of a random integer matrix in practice. We propose significant improvements to the algorithm by Micciancio and Warinschi, and extend these techniques to the computation of the saturation of a matrix. Tables of timings confirm the efficiency of this approach. To our knowledge, our implementation is the fastest implementation for computing Hermite normal form for large matrices with large entries. |