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arXiv 2014-01-07 0 views

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

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

Original · EN

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] 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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