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arXiv · 1301.6021

Fast algorithms for ell-adic towers over finite fields

Luca De Feo·Javad Doliskani·Éric Schost
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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 ell-adic closure of a finite field. In many cases, our algorithms have quasi-linear complexity.

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Luca De Feo, Javad Doliskani, Éric Schost. 2013-01-25. Fast algorithms for ell-adic towers over finite fields. https://doi.org/10.1145/2465506.2465956

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