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Reports (Research Report) Year : 2001

Tuning and Generalizing Van Hoeij's Algorithm


Recently, van Hoeij's published a new algorithm for factoring polynomials over the rational integers [11]. This algorithms rests on the same principle as Berlekamp-Zassenhaus [2, 13], but uses lattice basis reduction to improve drastically on the recombination phase. The efficiency of the LLL algorithm is very dependent on fine tuning; in this paper, we present such tuning to achieve better performance. Simultaneously, we describe a generalization of van Hoeij's algorithm to factor polynomials over number fields.
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Dates and versions

inria-00072504 , version 1 (24-05-2006)


  • HAL Id : inria-00072504 , version 1


Karim Belabas, Guillaume Hanrot, Paul Zimmermann. Tuning and Generalizing Van Hoeij's Algorithm. [Research Report] RR-4124, INRIA. 2001. ⟨inria-00072504⟩
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