  In this paper we deal with the construction of sequences of irreducible
polynomials with coefficients in finite fields of even characteristic. We rely
upon a transformation used by Kyuregyan in 2002, which generalizes the
$Q$-transform employed previously by Varshamov and Meyn for the synthesis of
irreducible polynomials. While in the iterative procedure described by
Kyuregyan the coefficients of the initial polynomial of the sequence have to
satisfy certain hypotheses, in the present paper we construct infinite
sequences of irreducible polynomials of non-decreasing degree starting from any
irreducible polynomial.
