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Fast algorithms for ell-adic towers over finite fields

Published 25 Jan 2013 in cs.SC and math.NT | (1301.6021v1)

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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