#16983: Fix finite field modulus handling
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Reporter: jdemeyer | Owner:
Type: enhancement | Status: new
Priority: major | Milestone: sage-6.4
Component: finite rings | Keywords:
Merged in: | Authors:
Reviewers: | Report Upstream: N/A
Work issues: | Branch:
Commit: | Dependencies:
Stopgaps: |
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For prime finite fields, we should support a custom modulus:
{{{
sage: x = polygen(GF(7))
sage: k = GF(7, modulus=x+5)
sage: k.modulus()
x + 6
sage: k.gen()
1
}}}
We should also make the modulus monic:
{{{
sage: x = polygen(GF(7))
sage: k.<a> = GF(7^2, modulus=2*x^2-3, impl="pari_ffelt")
sage: k.modulus()
2*x^2 + 4
}}}
(the Givaro backend already does this)
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Ticket URL: <http://trac.sagemath.org/ticket/16983>
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