The van Hoeij Algorithm for Factoring Polynomials [chapter]

Jürgen Klüners
2009 The LLL Algorithm  
In this survey we report about a new algorithm for factoring polynomials due to Mark van Hoeij. The main idea is that the combinatorial problem which occurs in the Zassenhaus algorithm is reduced to a very special knapsack problem. In case of rational polynomials this knapsack problem can be very efficiently solved by the LLL algorithm. This gives a polynomial time algorithm which also works very well in practice.
doi:10.1007/978-3-642-02295-1_8 dblp:series/isc/Kluners10 fatcat:eucdabuzurbkrmeb5ijayv2ywq