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. We describe the fastest implementation for computing Hermite normal form for large matrices with large entries.
https://hal.inria.fr/hal-00798442
Contributeur : Grégory Mounié
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Soumis le : vendredi 8 mars 2013 - 15:31:46
Dernière modification le : mercredi 11 avril 2018 - 01:53:59
Clement Pernet, William Stein. Fast computation of Hermite normal forms of random integer matrices. Journal of Number Theory, Elsevier, 2010, 130 (7), pp.1675―1683. 〈10.1016/j.jnt.2010.01.017〉. 〈hal-00798442〉
