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We wish to encrypt a memoryless source with alphabet M = {0, 1, 2} and P(M = 0) = 1/2, P(M = 1) = p, P(M = 2) = 1/2 - p, 0 ≤ p ≤ 1/2.
Let the key K = (K0, K1, K2), be chosen uniformaly from the get of binary 3-tuptfs. A sequence of messages M1, M2...Mn is encrypted to a sequence of ciphertext C1, C2, .....Cn by,
Ci = Mi + Kimod 3(mod 3). ∀i., 1 ≤ i ≤ n.
a) Find all values of p that give a unicity distance larger than 20.
b) Let p = 0. Propose a new cipher for this source that has an infinity inticity distance.
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