What NSA needs are NOBUS ("nobody but us") backdoors. Dual_EC is a NOBUS backdoor because it relies on public key encryption, using a key that presumably only NSA possesses. Any of NSA's adversaries, in Russia or Israel or China or France, would have to fundamentally break ECDLP crypto to exploit the Dual_EC backdoor themselves.
Weak curves are not NOBUS backdoors. The "secret" is a scientific discovery, and every industrialized country has the resources needed to fund new cryptographic discoveries (and, of course, the more widely used a piece of weak cryptography is, the more likely it is that people will discover its weaknesses). This is why Menezes and Koblitz ruled out secret weaknesses in the NIST P-curves, despite the fact that their generation relies on a random number that we have to trust NSA about being truly random: if there was a vulnerability in specific curves NSA could roll the dice to generate, it would be prevalent enough to have been discovered by now.
Clearly, no implementation flaw in Windows could qualify as a NOBUS backdoor; many thousands of people can read the underlying code in Ghidra or IDA and find the bug, once they're motivated to look for it.
Of course I applaud responsible disclosure, and if they continue down that direction they have the possibility of rebuilding some of the trust they've broken in modern times.
> Clearly, no implementation flaw in Windows could qualify as a NOBUS backdoor; many thousands of people can read the underlying code in Ghidra or IDA and find the bug, once they're motivated to look for it.
The counter examples are the hordes of critical 0 days they've been sitting on, some of which have led to to a body count of five eyes citizens.
Like I said, disclosing is a step in the right direction, but they don't get a cookie for the first major disclosure in decades.
Should you trust them about Dual_EC? Obviously not: the sketchiness of Dual_EC has been clear since its publication (the only reason people doubted it was a backdoor was that it was too obviously a backdoor; I gave them way too much credit here).
Should you trust them about the NIST P-curves? That depends on who you ask, but the NOBUS analysis is very helpful here: you have to come up with a hypothetical attack that NSA can exploit but that nobody else can discover, otherwise NSA is making China and Russia's job easier for them. Whatever else you think about NSA, the idea that they're sanguine about China is an extraordinary claim.