Sequences of irreducible polynomials without prescribed coefficients over odd prime fields

Polynomial Distribution and Sequences of

Polynomial Distribution and Sequences of Irreducible Polynomials over Finite Fields

✍ Wun-Seng Chou; Stephen D Cohen 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 153 KB 👁 1 views

Let k=GF(q) be the finite field of order q. Let f 1 (x), f 2 (x) # k[x] be monic relatively prime polynomials satisfying n=deg f 1 >deg f 2 0 and f 1 (x)Âf 2 (x){ g 1 (x p )Âg 2 (x p ) for any g 1 (x), g 2 (x) # k[x]. Write Q(x)= f 1 (x)+tf 2 (x) and let K be the splitting field of Q(x) over k(t). L