this post was submitted on 25 Sep 2026
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There are tradeoffs with encryption. RSA is so secure, that the US government has tried to insert a mathematic backdoor into the key selection because that's the easiest method to attack the encryption. RSA uses thousands of bits for their encryption, making it inefficient for most attacks. The attack detailed in this article is on one of the weaker RSA algorithms, with only 1024 bits. The high end RSA uses 4096 bits or more, I believe the algorithm has increased the bit length to officially support 8192.
On the other side of RSA is another secure algorithm called AES. It can go up to 512 bits, but it hashes the key to meet the key length instead of relying on generating huge prime numbers. It makes it more resilient to certain types of attacks, but the bit limitation makes it easier to brute force or use rainbow tables.
AES is asymmetric encryption and cannot be used for the same things as RSA. EdDSA would be more comparable to RSA.
I know that AES is symmetrical. I was using it to illustrate that symmetrical and asymmetrical encryption have tradeoffs that cannot be worked around.
Thanks for this answer. The article makes it sound as though even the 4096-bit versions are now more or less trivial to defeat given a bit of money for a capable machine and this new method:
Just to put a bit of context on those, OpenAI said they used 180,000 GPUs for training their GPT-5 model. As I understand it, each GPU has ~16,000 cores, and each of those cores does a couple billion operations per second. With that cluster, 2^65 operations takes a couple seconds, 2^90 takes many years, and 2^119 is off in "the sun has grown to surround the Earth" territory. The NSA is concerned with protecting their stuff against organizations with hundreds of billions of dollars, and a hundred of years of time to dedicate dozens or hundreds of people to breaking it. "Not good enough" in that context is a very different bar than what most people have to worry about.
You also need to provide them 2^43 unsalted responses, which is more than a casual few.