Novel attack slashes computing power needed to crack textbook RSA cryptography

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Novel attack slashes computing power needed to crack textbook RSA cryptography

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Assuming the research holds up and the attack conditions are met, the number of necessary operations for cracking an RSA-encrypted key (and thus, inspecting network traffic encrypted with it) drops dramatically. (From 2 80 , 2 112 , 2 128 , and 2 144 down to 2 65 , 2 90 , 2 105 , and 2 119 — for 1024, 2048, 3072-, and 4096-bit key lengths, respectively.)

Even for the 1024-bit keys, performing 2 65 calculations is still a lot , but it starts getting into the range where it's feasible for an entity with large resources at their disposal, like a number of state actors. Crucially, the paper indicates that the algorithms the team used are far from optimized and could hypothetically be significantly sped up after optimization passes, potentially with the help of AI tools and by leveraging GPUs for the task.

In order to reach a point where an attacker can decipher data, they first must perform an exceedingly high number of queries against the key they're attacking, collecting enough data points from the key's oracle. In practical terms, this often means repeatedly poking a live server that's using that key to encrypt traffic, billions of times over, though it can also be done against a standalone hardware device.

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