On 9/21/07, Martin Albrecht <[EMAIL PROTECTED]> wrote:
>
> On Friday 21 September 2007, David Kohel wrote:
> > Since LLL and LLLGram in Magma V2.13 are written by Damien Stehle,
> > using his asymptotically better algorithm.  The previous version was
> > not
> > even mathematically correct (adhoc "improvements" or post-processing
> > could destroy the LLL reduction condition).
> >
> > Damien provides C code under GPL and can be found on his web page:
> >
> > http://perso.ens-lyon.fr/damien.stehle/english.html
> >
> > It might take some art to decide on optimal parameters, but linking it
> > into
> > SAGE should provide the same asymptotic performance as in Magma.
> >
> > --David
>
> Thanks! From what I can see it is probably best to:
>
> (first) try the FP variants of NTL's LLL first (I overlooked those before)

These use real arithmetic "internally", I think, but do not alow real
input data as in  my previous posting.

> (then) try Damien's fast.c implementation, also the proved version seems
> interesting, given the discussions on this list.
>

Certainly!  This would be very good.

John

> Thoughts?
> Martin
>
> --
> name: Martin Albrecht
> _pgp: http://pgp.mit.edu:11371/pks/lookup?op=get&search=0x8EF0DC99
> _www: http://www.informatik.uni-bremen.de/~malb
> _jab: [EMAIL PROTECTED]
>
>
> >
>


-- 
John Cremona

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