Quantum computers may soon be able to crack encryption methods in use today, so plans are already under way to replace them with new, secure algorithms. Now it seems the US National Security Agency may be undermining that process
Yeah you can observe this with letsencrypt failing to generate a certificate if you change the elliptic curve from an NSA generated curve to a generic/known safe one. Changing between different NSA curves are functionally fine. Forces all signed certificates to use curves that are known to have issues, deliberate or otherwise - i.e. backdoored.
You can't use arbitrary curves with certificates, only those which are standardized because the CA will not implement anything which isn't unambiguously defined in a standard with support by clients.
My point is that there is a documented listed of supported curves for ECDSA but attempting to use any other safe curve in the list results in a failure. I am not trying to use some arbitrary curve.
If your point is that no safe curve is permitted because the powers that be don't permit it, TLS is doomed.
I run a cryptography forum, I know this stuff, and the problem isn't algorithmic weakness but complexity of implementation.
All major browsers and similar networking libraries now have safe implementations after experts have taken great care to handle the edge cases.
It's not a fault with let's encrypt. If they allowed nonstandard curves then almost nothing would be compatible with it, even the libraries which technically have the code for it because anything not in the TLS spec is disabled.
The WRC deals with unsafe curves all the time. I think picking a couple of spots on some of their curves at high speed would be interesting. Samir has been known to break some of these...