On Mon, Feb 18, 2013 at 2:30 PM, Niels Möller <[email protected]> wrote:
>> So has this particular case higher probability than k being randomly
>> chosen to be 3? (I've not seen this test anywhere else, that's why I'd
>> be curious on why you mention this test).
> If the verify code is done as
>   P1 = u1*G
>   P2 = u2*Y
>   P = P1 + P2
> then an equivalent test is needed there, sine we have to do
>   if (P1 == P2)
>     P = ecc_dup (P1)
>   else
>     P = ecc_add(P1 ,P2)
> And if we do this test, it's trivial to extend it to
>
>   if (P1 == P2)
>     {
>       P = ecc_dup (P1)
>       output private key (it's -u2/u1 (mod q) or something like that)

That's an interesting case :) Several implementations do not include
that case. I was told of a fault injection attack in hardware
implementations to force them reach that state (and do an addition
instead), but that wouldn't be of much importance here (since it is a
verification function). I don't know if caring about that case makes
sense. At best I think that looks like the definition for the
unlikely() macro.

regards,
Nikos
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