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Complexity of the Havas, Majewski, Matthews LLL Hermite Normal Form algorithm

Wilberd van der Kallen
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Abstract

We show that the integers in the HMM LLL HNF algorithm have bit length O(m.log(m.B)), where m is the number of rows and B is the maximum square length of a row of the input matrix. This is only a little worse than the estimate O(m.log(B)) in the LLL algorithm.

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BibTeXRIS

Wilberd van der Kallen. 1998-12-22. Complexity of the Havas, Majewski, Matthews LLL Hermite Normal Form algorithm. https://doi.org/10.1006/jsco.2000.0374

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