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. Shannon's pessimistic theorem, which states that a cipher can be perfectonly when the entropy of the secret key is at least as great as that of the plaintext, isrelativized by the demonstration of a randomized cipher in which the secret key is short butthe plaintext can be very long. This cipher is shown to be "perfect with high probability".More precisely, the eavesdropper is unable to obtain any information about the plaintextwhen a certain security event occurs, and the probability of ...

Conditionally-perfect secrecy and a provably-secure randomized cipher