Let Kq denote the finite field of order q and odd characteristic p. For a ∈ Kq, let gd(x,a) denote the Dickson polynomial of degree d defined by gd(x,a) = ∑[d/2] i=0 d/ (d− i)(d−i i )(−a)ixd−2i. Let… (More)

Let Fq denote the finite field of order q and characteristic p. For f(x) in Fq[x], let f∗(x,y) denote the substitution polynomial f(x)−f(y). The polynomial f∗(x,y) has frequently been used in… (More)

Let K denote a field. A polynomial f(x) ∈ K[x] is said to be decomposable over K if f(x)= g(h(x)) for some polynomials g(x) and h(x)∈K[x] with 1< deg(h) < deg(f ). Otherwise f(x) is called… (More)