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Theoretically, is it possible to convert the processing power of the CPU into several tens of bits of memory?

My question is unusual, but it's very interesting. I'm looking for a way to create a small (64 bit) memory department that the user could not access.

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    $\begingroup$ What would it mean to convert a CPU into tens of bits of memory? $\endgroup$ – D.W. Jul 27 '18 at 19:05
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There's a line of research that studies how to store sensitive data in the CPU's registers instead of RAM. Here's a seminal paper:

There's also work in storing sensitive data in the cache. Here are two of the seminal papers:

There's lots more work on these subjects, but this will get you started. You can find follow-up papers in the standard ways (Google Scholar, etc.).

You might also be interested in Intel SGX, TrustZone, TPMs, or related schemes for hardware support for secure computation.

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