#12007: creation of extension field of finite field needs more parameter
checking
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Reporter: mariah | Owner: AlexGhitza
Type: defect | Status: closed
Priority: major | Milestone:
sage-duplicate/invalid/wontfix
Component: basic arithmetic | Resolution: duplicate
Keywords: | Work issues:
Report Upstream: N/A | Reviewers: David Roe
Authors: | Merged in:
Dependencies: | Stopgaps:
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Changes (by jdemeyer):
* status: positive_review => closed
* reviewer: => David Roe
* resolution: => duplicate
Old description:
> In sage-4.7.2,
>
> {{{
> sage: F = GF(2)
> sage: P.<x> = PolynomialRing(F)
> sage: H.<h> = GF(2^8, name='h', modulus=x^3+x+1) # 2^8 rather than 2^3
> sage:
> sage: len(set([h^i for i in xrange(10000)]))
> 21
> }}}
>
> H is something - but it is not a field!
New description:
In sage-4.7.2,
{{{
sage: F = GF(2)
sage: P.<x> = PolynomialRing(F)
sage: H.<h> = GF(2^8, name='h', modulus=x^3+x+1) # 2^8 rather than 2^3
sage:
sage: len(set([h^i for i in xrange(10000)]))
21
}}}
H is something - but it is not a field!
Fixed by #11784.
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Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/12007#comment:4>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica,
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