On Irreducible Polynomials of the Form b(xᵈ)
Sarkar, Palash · Singh, Shashank
Original · EN
Let p be a prime and b(x) be an irreducible polynomial of degree k over Fₚ. Let d≥ 1 be an integer. Consider the following question: Is b(xᵈ) irreducible? We derive necessary conditions for b(xᵈ) to be irreducible. Further, when the necessary conditions are satisfied, we obtain the probability for b(xᵈ) to be irreducible.
English translation
This paper has no Arabic translation yet. Be the first: it takes a few seconds, and the result is stored for every future reader.