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Nets and Sequences Obtained from Irreducible Polynomials Over Finite Fields

✍ Scribed by A. Knopfmacher; J. N. Ridley; G. L. Mullen

Book ID
105867683
Publisher
Springer
Year
1998
Tongue
English
Weight
36 KB
Volume
9
Category
Article
ISSN
0938-1279

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Polynomial Distribution and Sequences of
Polynomial Distribution and Sequences of Irreducible Polynomials over Finite Fields
✍ Wun-Seng Chou; Stephen D Cohen πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 153 KB

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)Γ‚f 2 (x){ g 1 (x p )Γ‚g 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