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Cryptography might not be philosophy, but the concept of true randomness is somewhat within that purview. It might be useful to cross post this in a philosophy forum and get their perspective. PRNGs and TRNG blur together if the PRNG is good. Some believe that *nix's /dev/random is pretty good. Some have passed what science has decided are exacting tests ...

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I think you are confusing functional encryption and homomorphic encryption. In a functional encryption scheme, using a secret key for some function $f$ on a ciphertext $c$ which is an encryption of $m$ allows you to get $f(m)$ in clear. In an homomorphic encryption scheme, you can run some operation on ciphertexts, and get an encryption of the result, for ...

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I presume you are referring to hardcore, one-way functions (OWF's) with polynomial span? There have been a flurry of publications in the past 12 months relating to these functions and their implied possibility or practicability. The challenge with hardcore predicates has been in achieving polynomial span... Bellare "The original conjecture by Goldreich and ...

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