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On the construction of irreducible self-reciprocal polynomials over finite fields

✍ Scribed by Helmut Meyn

Publisher: Springer
Year: 1990
Tongue: English
Weight: 669 KB
Volume: 1
Category: Article
ISSN: 0938-1279
DOI: 10.1007/bf01810846

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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