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Implementing the Tangent Graeffe root finding method

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Title
Implementing the Tangent Graeffe root finding method
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CC Attribution 3.0 Germany:
You are free to use, adapt and copy, distribute and transmit the work or content in adapted or unchanged form for any legal purpose as long as the work is attributed to the author in the manner specified by the author or licensor.
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Release Date
2020
Language
English
Producer
Monagan, Michael
Production Year
2020
Production Place
Vancouver

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Abstract
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 implementation.
Keywords fast root finding over finite fields sparse polynomial interpolation

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