> I don't understand the last few posts here. In the paper linked to by
> Samuel Neves:
> 
> http://eprint.iacr.org/2012/042
> 
> Table 3, towards the top. (I read that as 2^53 steps.)
> 
> So to me, the recent result is "we verified computationally that our
> analysis is correct".
> 
> Maybe my brain is too simple.

You're exactly right. (In your characterization of the result, not your brain.) 
I think it's actually a little less than 2^53, but close enough.

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