Constructing irreducible polynomials with prescribed level curves over finite fields
Mihai Caragiu · International Journal of Mathematics and Mathematical Sciences · 2001
We use Eisenstein′s irreducibility criterion to prove that there exists an absolutely irreducible polynomial P(X, Y) ∈ GF(q)[X, Y] with coefficients in the finite field GF(q) with q elements, with prescribed level curves Xc : = {(x, y) ∈ GF(q)2 | P(x, y) = c}.