# Re: Elliptic curves

mm <nowhere@net> wrote:
a écrit :
Let me quote what you wrote: "All we need is a group whose order
is difficult to compute (except to the one who built this group)."
This is wrong. To prove this, I gave an example where you can compute
roots without using the group order.

Let me elaborate on the example:

In 1984, it was hard to compute the number of points on an elliptic curve.
If we believe you, an RSA-variant using elliptic curves over finite
fields would have been secure in 1984.

No. When I was talking of the order of a group based on an EC, I was not
talking of an EC over a finite field.

I know, we all know about elliptic curves over rings.

If you can't be bothered reading what I write, I won't bother writing.

--
Kristian Gjøsteen
.

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