Hi,

 Thanks for the very quick response. I will try that tomorrow. Now  I
understand the problem that we met when running the same code in  a linux
machine.
 I am doing this search for cryptographic applications, so I am dealing with
primes from the size of 170 bit Length.
I would like the 2-sylow of E( F_p)  to be  Z/4Z and #E( F_p) = 4*L  with
L  prime.

Reinier Broker did his PhD about EC with prescribed order and we will would
like to find out if his algorithms have been implemented in Sage?

Regards,

Adam




On Mon, Jun 22, 2009 at 6:31 PM, William Stein <wst...@gmail.com> wrote:

>
> On Mon, Jun 22, 2009 at 5:35 PM, harivola<adam.hariv...@googlemail.com>
> wrote:
> >
> > Hi all,
> >
> >  I am running a small script on a windows xp machine and some time I
> > am getting this error message:
> >  /usr/local/sage/local/bin/sage-sage: line 348: 19954 Killed
> >  python "$@"
>
> You're probably running out of memory (=RAM).  Try editing the file
> sage_vmx.vmx and increase the amount of RAM that is made available to
> the vmware machine running Sage.  The default amount is very small.
>
> > I don't get the meaning of that. By the way, does someone know an
> > efficient way in Sage to search for EC with prescribed order ( I need
> > curves over a big prime field with rational points of order 4 and
> > cofactor 4 ). Thanks.
>
> Be way more precise.  How big is "big prime field"? Do you want
> #E(F_p) = 4*n with n odd?  Do you require that #E(E_p)[2] = 4 too?
>
> William
>
> >
> > Best wishes
> >
> > >
> >
>
>
>
> --
> William Stein
> Associate Professor of Mathematics
> University of Washington
> http://wstein.org
>
> >
>

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