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Fast algorithms for ℓ-adic towers over finite fields

Luca de Feo 1 Javad Doliskani Eric Schost 
1 PRISM - Parallélisme, Réseaux, Systèmes, Modélisation
Abstract : Inspired by previous work of Shoup, Lenstra-De Smit and Couveignes-Lercier, we give fast algorithms to compute in (the first levels of) the ℓ-adic closure of a finite field. In many cases, our algorithms have quasi-linear complexity. Copyright 2013 ACM.
Keywords : Algebraic tori Elliptic curves Extension towers Finite fields Irreducible polynomials Pell's equation
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https://hal.uvsq.fr/hal-02177220
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Submitted on : Monday, July 8, 2019 - 5:12:14 PM
Last modification on : Wednesday, October 20, 2021 - 12:24:14 AM

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Luca de Feo, Javad Doliskani, Eric Schost. Fast algorithms for ℓ-adic towers over finite fields. 38th International Symposium on Symbolic and Algebraic Computation, ISSAC 2013, Jun 2013, Boston, MA, United States. pp.165-172, ⟨10.1145/2465506.2465956⟩. ⟨hal-02177220⟩

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