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Primitive Elements of Galois Extensions of Finite Fields

Primitive Elements of Galois Extensions of Finite Fields

As is well known, N?(«) = (1/n) J2d\n ß{d)q"ld coincides with the number of monic irreducible polynomials of GF(q)[X] of degree n .In this note we discuss the curve nNx(n) and the solutions of equations nNx(n) = b (b > n) .As a corollary of these results, we present a …