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Pré-Publication, Document De Travail Année : 2020

Implementing the tangent Graeffe root finding method

Résumé

The tangent Graeffe method has been developed for the efficient computation of single roots of polynomials over finite fields with multiplicative groups of smooth order. It is a key ingredient of sparse interpolation using geometric progressions, in the case when blackbox evaluations are comparatively cheap. In this paper, we improve the complexity of the method by a constant factor and we report on a new implementation of the method and a first parallel implemenation.
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Dates et versions

hal-02525408 , version 1 (30-03-2020)
hal-02525408 , version 2 (02-05-2020)
hal-02525408 , version 3 (09-05-2020)
hal-02525408 , version 4 (25-07-2020)

Identifiants

  • HAL Id : hal-02525408 , version 3

Citer

Joris van der Hoeven, Michael Monagan. Implementing the tangent Graeffe root finding method. 2020. ⟨hal-02525408v3⟩
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