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arXiv · 1506.04215

Parallel sparse interpolation using small primes

Mohamed Khochtali·Daniel S. Roche·Xisen Tian
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Abstract

To interpolate a supersparse polynomial with integer coefficients, two alternative approaches are the Prony-based "big prime" technique, which acts over a single large finite field, or the more recently-proposed "small primes" technique, which reduces the unknown sparse polynomial to many low-degree dense polynomials. While the latter technique has not yet reached the same theoretical efficiency as Prony-based methods, it has an obvious potential for parallelization. We present a heuristic "small primes" interpolation algorithm and report on a low-level C implementation using FLINT and MPI.

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Mohamed Khochtali, Daniel S. Roche, Xisen Tian. 2015-06-13. Parallel sparse interpolation using small primes. https://arxiv.org/abs/1506.04215

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