[Cryptography] Why is ECC secure?

[Bill Cox]

On Fri, Aug 14, 2015 at 2:31 PM, Viktor Dukhovni <cryptography at dukhovni.org>
wrote:

> On Fri, Aug 14, 2015 at 12:15:00PM -0700, Bill Cox wrote:
>
> >   Addition rule: 1/(1/a + 1/b), or 0 if a == 0, b == 0, or 1/a + 1/b == 0
>
> The neutral element is infinity, not 0 (makes sense in terms of
> the parallel resistor model).
>
> As for cryptography: point doubling gives: a + a -> 1/(1/a + 1/a)
> = a/2.  And (a/n + a) = 1/(n/a + 1/a) = a/(n+1)).
>
> So scalar multiplication is just division.  Not especially useful
> for DH! :-)
>
> --
>         Viktor.
>
> Ha!  It took me all afternoon to figure out what you must have figured out
in seconds or minutes.  Thanks for that critique.

Bill
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