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Generalized Artin–Schreier polynomials
Let F be a field of prime characteristic p containing 𝔽 p n as a subfield. We refer to q(X) = X p n - X - a ∈ F[X] as a generalized Artin–Schreier polynomial. Suppose that q(X) is irreducible and let C q(X) be the companion matrix of q(X). …