Re: Galois Field
- From: magidin@xxxxxxxxxxxxxxxxx (Arturo Magidin)
- Date: Thu, 6 Oct 2005 12:32:50 +0000 (UTC)
In article <yU71f.327$2i4.115@xxxxxxxxxxxxxxx>,
Ricky R. <noemail@xxxxxxxxxxx> wrote:
>I have to show that GF(125) is a splitting field for p(x) = x^3+x+1 over
>GF(5). I need a hint.
You know that it has a root over GF(125), since it is irreducible over
GF(5). All you need to do is show that the resulting quadratic also
has its roots there; and for that, you just need to show that a
certain discriminant is a square in GF(125).
--
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"It's not denial. I'm just very selective about
what I accept as reality."
--- Calvin ("Calvin and Hobbes")
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Arturo Magidin
magidin@xxxxxxxxxxxxxxxxx
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