Explicit Factorizations of Cyclotomic and Dickson Polynomials over Finite Fields
نویسندگان
چکیده
We give, over a finite field Fq, explicit factorizations into a product of irreducible polynomials, of the cyclotomic polynomials of order 3 · 2, the Dickson polynomials of the first kind of order 3 · 2 and the Dickson polynomials of the second kind of order 3 · 2 − 1.
منابع مشابه
Generalized reciprocals, factors of Dickson polynomials and generalized cyclotomic polynomials over finite fields
We give new descriptions of the factors of Dickson polynomials over finite fields in terms of cyclotomic factors. To do this generalized reciprocal polynomials are introduced and characterized. We also study the factorization of generalized cyclotomic polynomials and their relationship to the factorization of Dickson polynomials.
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