Solution-Which of the following schemes is a cryptosystem

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Which of the following schemes is a cryptosystem? What is the plaintext space, the ciphertext space, and the key space?

(a) Each letter x ε Z₂₆ is replaced by kx (mod 26), k ε {1, 2, . . . , 26}.

(b) Each letter x ε Z₂₆ is replaced by kx (mod 26), k ε {1, 2, . . . , 26}, gcd(k, 26) = 1.

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