Question: Consider the shift cipher, with the following a priori distribution over the message space M: 1 4' Pr[M = may] - Pr[M = see]

Consider the shift cipher, with the following a priori distribution over the message space M: 1 4' Pr[M =

Consider the shift cipher, with the following a priori distribution over the message space M: 1 4' Pr[M = may] - Pr[M = see] - 3 7' Pr[M = coo] - 9 28 What is the probability that the ciphertext C = amm? What is the probability that the message M = coo was encrypted, given that the ciphertext was observed to be C = 1xx? Compute the message entropy H(M) and the message equivocation H(MC). Calculate the mutual information I(M; C). Does this cipher satisfy the condition of perfect secrecy?

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