Fast Algorithms for Finding the Characteristic Polynomial of a Rank-2 Drinfeld Module
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This thesis introduces a new Monte Carlo randomized algorithm for computing the characteristic polynomial of a rank-2 Drinfeld module. We also introduce a deterministic algorithm that uses some ideas seen in Schoof's algorithm for counting points on elliptic curves over finite fields. Both approaches are a significant improvement over the current literature.
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Yossef Musleh (2018). Fast Algorithms for Finding the Characteristic Polynomial of a Rank-2 Drinfeld Module. UWSpace. http://hdl.handle.net/10012/13889