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... cn) ∈ C is a codeword and e = (e1, . . . , en) ∈ F n qm is the error vector. We now recall the polynomial interpolation setup from [10] via a more general formulation in the next theorem. Theorem 4 (=-=[7]-=-, [10]). Let f(x) ∈ Lq(x, qm), qdeg(f(x)) < k and ci = f(gi) for i = 1, . . . , n. Then dR(c, r) = t if and only if there exists a D(x) ∈ Lq(x, qm), such that qdeg(D(x)) = t and D(ri) = D(f(gi)) ∀i ∈ ...