#3045: [with patch, needs review] K.gen() where K = GF(p) returns 1, not a
primitive element
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Reporter: jxxcarlson | Owner: was
Type: defect | Status: new
Priority: major | Milestone: sage-3.4.1
Component: number theory | Resolution:
Keywords: galois field |
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Comment (by AlexGhitza):
Kiran, I tried to find some examples and couldn't. I think the point of
the warning in the docstring is that we are not guaranteeing that the
finite fields code wouldn't change in the future in such a way that other
generators would be returned; or, for that matter, that the same version
of Sage running on wildly different architectures won't return different
generators. I modified the docstrings a bit to (hopefully) make that more
clear.
Note that multiplicative_generator() calls pari's znprimroot(), so
whatever fuzziness there is in pari's finding a generator gets
automatically inherited by Sage.
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Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/3045#comment:3>
Sage <http://sagemath.org/>
Sage - Open Source Mathematical Software: Building the Car Instead of
Reinventing the Wheel
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