#15758: Reimplement short vector enumeration
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Reporter: mraum | Owner:
Type: enhancement | Status: new
Priority: major | Milestone: sage-6.4
Component: quadratic forms | Resolution:
Keywords: | Merged in:
Authors: Martin Raum | Reviewers:
Report Upstream: N/A | Work issues:
Branch: | Commit:
u/mraum/ticket/15758 | 5ba169fbf00d249938a083e30671c38b758b89d7
Dependencies: | Stopgaps:
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Comment (by cremona):
As far as I know, the fpLLL library only deals with sublattices of
{{{ZZ^n}}}, while pari can deal with enumerating short vectors when the
Gram matrix is real. This is very important for my applications! So I
would very much like this ticket to be revived.
Meanwhile, here is a bug report with the QuadraticForm class in this
context, since it does not pass the optional flag=2 to pari's qfminim
function when the Gram matrix is real:
{{{
sage: A = random_matrix(RR,5)
sage: A = A*A.transpose()
sage: Q = QuadraticForm(A)
sage: Q.short_vector_list_up_to_length(2)
...
PariError: incorrect type in qfminim0
}}}
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Ticket URL: <http://trac.sagemath.org/ticket/15758#comment:10>
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