Question: Solve all steps a, b & c step by step Consider the following cryptosystem where P={a,b,c},C={1,2,3}, and K={K1,K2,K3,K4}. Suppose the encryption matrix is as follows:

Solve all steps a, b & c step by step

Solve all steps a, b & c step by step Consider the

Consider the following cryptosystem where P={a,b,c},C={1,2,3}, and K={K1,K2,K3,K4}. Suppose the encryption matrix is as follows: The keys are chosen equiprobably and the plaintext probability distribution is Pr[a]=1/2,Pr[b]=1/4,andPr[c]=1/4. (a) Compute H(P),H(K), and H(C). HINT: You may find the "Law of Total Probability" useful to calculate ciphertext probabilities. (b) Determine H(KC). (c) Does the cipher satisfy perfect secrecy? Justify your

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