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sd522527
Recent content by sd522527
S
Irreducible polynomials over finite fields
I mean Zp(z), the field, of course. Steve
sd522527
Post #16
Aug 22, 2008
Forum:
Linear and Abstract Algebra
S
Irreducible polynomials over finite fields
If z is an element of order p^n-1 in GF(p^n), it is the generator of the cyclic multiplicative group, and by the Primitive element theorem, GF(p^n) = Zp[z]. Therefore it's irr. polynomial is of degree n.
sd522527
Post #15
Aug 22, 2008
Forum:
Linear and Abstract Algebra
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