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Permutation Polynomials in Several Variables over Finite Fields

Permutation Polynomials in Several Variables over Finite Fields

Let K= GF(q) be a Galois field with q elements, q = ps, p prime, s > 1.Let Kn denote the Cartesian product of n copies of K.The following definition is basic for our further investigation := a has qn-1 solutions in Kn for each a e K .