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arXiv · 1401.1331

Interpolation and Approximation of Polynomials in Finite Fields over a Short Interval from Noisy Values

Oscar Garcia-Morchon·Ronald Rietman·Igor E. Shparlinski·Ludo Tolhuizen
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Abstract

Motivated by a recently introduced HIMMO key distribution scheme, we consider a modification of the noisy polynomial interpolation problem of recovering an unknown polynomial $f(X) \in Z[X]$ from approximate values of the residues of $f(t)$ modulo a prime $p$ at polynomially many points $t$ taken from a short interval.

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Oscar Garcia-Morchon, Ronald Rietman, Igor E. Shparlinski, Ludo Tolhuizen. 2014-01-07. Interpolation and Approximation of Polynomials in Finite Fields over a Short Interval from Noisy Values. https://arxiv.org/abs/1401.1331

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