# Difference between computational and statistical indistinguishabilities

What is the difference between the two notions of computational and statistical indistinguishability?

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For example, say you encrypt (with proper padding) the messages $0$ and $1$ using RSA and send them to the adversary. We would not want the adversary to be able to distinguish which encrypts the $0$ and which encrypts the $1$. If the adversary is not computationally bounded, however, they can break RSA via factoring, recover the private key, and decrypt each ciphertext to get the plaintext. Then they would be able to distinguish.