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

preprint2014arXivOpen access

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)∈Z[X]f(X) \in Z[X] from approximate values of the residues of f(t)f(t) modulo a prime pp at polynomially many points tt taken from a short interval.

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