Let Bobs encryption function be E.M / D Me mod n where n D pq for distinct primes p and

Chapter 46, Problem 46.7

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Let Bobs encryption function be E.M / D Me mod n where n D pq for distinct primes p and q. His decryption function is D.N / D Nd mod n where ed 1 .mod '.n//. Suppose Alice forms a message M (with 1 M < n) that is not relatively prime to n. You may suppose that M is a multiple of p, but not of q. Prove that D.E.M // D M.

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