English

Parallel sparse interpolation using small primes

Symbolic Computation 2015-06-16 v1 Distributed, Parallel, and Cluster Computing

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.

Cite

@article{arxiv.1506.04215,
  title  = {Parallel sparse interpolation using small primes},
  author = {Mohamed Khochtali and Daniel S. Roche and Xisen Tian},
  journal= {arXiv preprint arXiv:1506.04215},
  year   = {2015}
}

Comments

Accepted to PASCO 2015

R2 v1 2026-06-22T09:52:59.132Z