On Oct 22, 2015, at 7:20 PM, Tao Effect <[email protected]> wrote:

> From this blog post: 
> http://blog.cryptographyengineering.com/2015/10/a-riddle-wrapped-in-curve.html
> 
> To quote Matthew Green:
> 
> <BEGIN>
> 
> By calculating the number of possible curve families, Koblitz and Menezes 
> show that a vast proportion of curves (for P-256, around 2^{209} out of 
> 2^{257}) would have to be weak in order for the NSA to succeed in this 
> attack. The implications of such a large class of vulnerable curves is very 
> bad for the field of ECC. It dwarfs every previous known weak curve class and 
> would call into question the decision to use ECC at all.
> 
> In other words, Koblitz and Menezes are saying that if you accept the weak 
> curve hypothesis into your heart, the solution is not to replace the NIST 
> elliptic curves with anything at all, but rather, to leave the building as 
> rapidly as possible and perhaps not shut the door on the way out. No joke.
> 
> On the gripping hand, this sounds very much like the plan NSA is currently 
> implementing. Perhaps we should be worried.
> 
> </END>
> 
> So, I’m not a cryptographer, but ya’ll (supposedly) are. Any legitimacy to 
> this?

(Originally posted  at: https://news.ycombinator.com/item?id=10433640)

I just read the full original paper, and this seems like the most likely 
explanation to me:

"[T]he main considerations might not have been technical at all, but rather 
Agency-specific — that is, related to the difficult situation the NSA was in 
following the Snowden leaks. The loss of trust and credibility from the scandal 
about Dual EC DRBG was so great that NSA might have anticipated that anything 
further it said about ECC standards would be mistrusted. The NSA might have 
felt that the quickest way to recover from the blow to its reputation would be 
to get a “clean slate” by abandoning its former role as promoters of ECC and 
moving ahead with the transition to post-quantum cryptography much earlier than 
it otherwise would have.”

I spent >10 years working for the government, and this scenario is entirely 
consistent with my experience there.

rg

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