ABSTRACT. We prove the rationality of the generating function associated to the number of equivalence classes of Fqk -points of a constructible equivalence relation defined over t...
We present a new characterization of semi-bent and bent quadratic functions on finite fields. First, we determine when a GF(2)-linear combination of Gold functions Tr(x2i +1 ) is ...
We introduce a generalization of Sidel'nikov sequences for arbitrary finite fields. We show that several classes of Sidel'nikov sequences over arbitrary finite fields ex...
Abstract. We study rational streams (over a field) from a coalgebraic perspective. Exploiting the finality of the set of streams, we present an elementary and uniform proof of the ...