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Question

(a) Prove that a permutation π in the Permutation Cipher is an involutory key if and only if π(i) = j

implies π(j) = i, for all i, j E {1, . . . , m}

(b) Determine the number of involutory keys in the Permutation Cipher for m = 2,3, 4, 5 and 6.

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