Just to confirm:  my database is a database of elliptic curves defined
over Q and conductor up to some bound, currently 130,000.

John Cremona

On Jan 22, 2:01 am, Alex Ghitza <[email protected]> wrote:
> On Thu, 21 Jan 2010 16:36:47 -0800, William Stein <[email protected]> wrote:
> > Aren't those curves owned by some company though, and one can't use
> > them without paying license fees?   I can't believe I just wrote that
> > sentence.
>
> There's some info at
>
> http://en.wikipedia.org/wiki/ECC_patents
>
> It doesn't seem to indicate that the curves themselves are under patent,
> and it would seem wrong for a government institution such as NIST to
> recommend curves for which license fees must be paid.  (Of course just
> because it seems wrong doesn't mean that it's not the case.)
>
> The ECC algorithms themselves are a more contentious matter.  RSA
> thinks that the original algorithms due to Koblitz-Miller are not under
> patent, but that certain implementation techniques and newer algorithms
> are, see
>
> http://www.rsa.com/rsalabs/node.asp?id=2325
>
> Best,
> Alex
>
> --
> Alex Ghitza -- Lecturer in Mathematics -- The University of Melbourne
> -- Australia --http://www.ms.unimelb.edu.au/~aghitza/

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