Sparse interpolation over finite fields via low-order roots of unity

@inproceedings{Arnold2014SparseIO,
  title={Sparse interpolation over finite fields via low-order roots of unity},
  author={Andrew Arnold and Mark Giesbrecht and Daniel S. Roche},
  booktitle={ISSAC},
  year={2014}
}
We present a new Monte Carlo algorithm for the interpolation of a straight-line program as a sparse polynomial f over an arbitrary finite field of size q. We assume a priori bounds D and T are given on the degree and number of terms of f. The approach presented in this paper is a hybrid of the diversified and recursive interpolation algorithms, the two previous fastest known probabilistic methods for this problem. By making effective use of the information contained in the coefficients… 

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