n affine cipher has the form c = (am+b) mod n. Suppose m is an integer between 0 and 25, each integer representing a letter. (a) Let n = 26, a = 3, and b = 123. What is the ciphertext corresponding to the phrase THIS IS A CIPHER MESSAGE. (b) A requirement for a cipher is that every plaintext letter correspond to a different ciphertext letter. If either a and b is not relatively prime to n, does the affine cipher meet this property? Either prove it does or present a counterexample.

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