On Jun 22, 7:59 pm, adam mohamed <[email protected]> wrote:
> 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?
Hello Adam,
No, as far as I know Sage has nothing implemented for finding curves
with prescribed order or structure.
John
>
> Regards,
>
> Adam
>
> On Mon, Jun 22, 2009 at 6:31 PM, William Stein <[email protected]> wrote:
>
> > On Mon, Jun 22, 2009 at 5:35 PM, harivola<[email protected]>
> > 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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