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For an encryption scheme E(K, M) = C with perfect secrecy, please prove that for every plaintext m and ciphertext c, Pr[C =c|M=m] = Pr[C

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For an encryption scheme E(K, M) = C with perfect secrecy, please prove that for every plaintext m and ciphertext c, Pr[C =c|M=m] = Pr[C = c] always holds true. Hint: From the mathematical definition of perfect secrecy, we have for Vmm EMM,CC ECC, Pr[M = mC = c] = Pr[M = m)

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