5.) (a) Suppose that a cryptosystem has two keys kland k2, three messages m, m2, and m3, and three ciphertexts c1, c2, and c3. Assume that the probability function for the message variables are as follows: Pm (mi) = 1/8, Pm(m2) = 4/8, Pm(m3) = 3/8 Consider the table below that describes how the different keys act on the messages to produce ciphertext. Calculate the probability of each Ciphertext in the following two cases: Due to each individual key. In totality. (both keys) Mi C2 C3 K2 M2 Ci C2 M3 C3 L C (b) Consider a cipher that has three keys, three plaintexts, and four ciphertexts that are combined using the following encryption table shown below. Suppose further that the plaintexts and keys are used with the following probabilities P(mi) = P(m2) =2/5; P(m3) =1/5; P(ki) = P(k2) = P(k3) =1/3. M M2 M3 | C1 Ki K2 So K3 Does the above cryptosystem above ensure perfect secrecy