With an unlimited budget and access to the biggest brains in the world, you think the word impossible has any meaning?
Let me break this down.
A 1024-bit key means there are 2^1024 possible combinations of keys/codes. That’s 1.797693e^308 possible permutations. So move that decimal point to the right over 300 places.
Now, with a 2.2 Ghz Xeon processor, that’s 2.2 billion processes per second which brings us down to 8.17133^e298 seconds to process the total number of possible codes. That’s 1.3618887^e297 minutes or 2.269814^e295 hours which is 9.45756^e293 days or 2.59111^e291 years. It would take longer than the history of the universe to decrypt it assuming the last key used is the one.
Okay, so to do this in anywhere near-term, you would have to have a QUANTUM computer that could do hundreds of quadrillions of cycles per second to even come close to cracking that in a short term. There aren’t enough computers on the planet to do that at present. Do you honestly believe they’re going to waste time trying to crack a TPM key to get into your computer to find out what porn your looking at?
At this point, we can’t answer some pretty fundamental questions about the Universe. Where does lightning come from? Explain magnetism, and why it happens.
We aren’t as smart as you might think. We don’t know that diabetes (type 1) actually destroys islet of langerhorn cells in the pancreas. That may seem random, but I hear people RAVE about new insulins, pumps, and sensors, but the brightest minds in the space haven’t a clue about the root cause of the disease.
While I realize there is exactly ZERO shareholder interest in plumbing such a question, there are others you’d think that would be motivated to answer such a thing. I don’t see a lot of that.
In any black box created by men, and that’s what a computer is, I would agree that anything is possible.