#11829: multivariate factorization over finite fields
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Reporter: zimmerma | Owner: tbd
Type: defect | Status: positive_review
Priority: major | Milestone: sage-4.7.2
Component: factorization | Keywords:
Work_issues: | Upstream: N/A
Reviewer: Paul Zimmermann | Author: Martin Albrecht
Merged: | Dependencies:
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Description changed by leif:
Old description:
> As far as I know, Sage calls Singular for multivariate factorization over
> finite fields. Currently Singular is limited to primes less than
> 2^29:
> {{{
> sage: R.<x,y> = GF(previous_prime(2^29))[]
> sage: factor(x+y+1,proof=False)
> x + y + 1
> sage: R.<x,y> = GF(next_prime(2^29))[]
> sage: factor(x+y+1,proof=False)
> ...
> NotImplementedError: Factorization of multivariate polynomials over prime
> fields with characteristic > 2^29 is not implemented.
> }}}
> However for larger primes we get:
> {{{
> sage: R.<x,y> = GF(previous_prime(2^31))[]
> sage: factor(x+y+1,proof=False)
> }}}
> and this seems to hang (when I hit Ctrl-C, it says
> {{{Interrupting Singular}}})
New description:
As far as I know, Sage calls Singular for multivariate factorization over
finite fields. Currently Singular is limited to primes less than
2^29:
{{{
sage: R.<x,y> = GF(previous_prime(2^29))[]
sage: factor(x+y+1,proof=False)
x + y + 1
sage: R.<x,y> = GF(next_prime(2^29))[]
sage: factor(x+y+1,proof=False)
...
NotImplementedError: Factorization of multivariate polynomials over prime
fields with characteristic > 2^29 is not implemented.
}}}
However for larger primes we get:
{{{
sage: R.<x,y> = GF(previous_prime(2^31))[]
sage: factor(x+y+1,proof=False)
}}}
and this seems to hang (when I hit Ctrl-C, it says
{{{Interrupting Singular}}})
----
Apply [attachment:trac11829_factor_too_large.patch] to the Sage library.
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Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/11829#comment:14>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica,
and MATLAB
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