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

الأصل · 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.