Earlier quoted context omitted.
"It seems that the NSA (and possibly other state-level actors) can access encrypted traffic that uses 1024-bit Diffie-Hellman that use commonly-used prime numbers." How does it "seem this"? There's no evidence, no plausibility, no sense here whatsoever. Someone hypothetically conjectured a magic all-powerful computer that could magically crack a prime, and that would magically make us all vulnerable to the government…
It seems like you're calling section 4.1 of the paper "magical"; do you have something specific in it to object to that makes you think the estimates are severely mistaken? In order to defend against adversaries with undisclosed capabilities, you have to extrapolate known attack methods and hardware to produce estimates of what may be practical. Every paper that proposes keylength and parameter size recommendations d…
It astonishes me that people are running about like rabbits in a headlight on such flimsy nonsense.
But I understand. It makes us feel important. The new James Bond movie is coming out. And imagine! We're like a superhero secret agent. We can protect from the big bad government by increasing all the keys to 2048 bits! And we get to feel special and important.
Sigh.