Question: (5 pts) Consider a public key system using RSA, based on n. Bob's public and private key pair is (e, d). Alice enciphers a message

(5 pts) Consider a public key system using RSA, based on

(5 pts) Consider a public key system using RSA, based on n. Bob's public and private key pair is (e, d). Alice enciphers a message M, and sends Bob the cipher C = Me. Bob deciphers C to obtain the plaintext M. Show that Cd M (Hint: Use the theorem and arithmetic modulo: . Theorem: For integers a and n such that a and n are relatively prime, (n)-1 mod n. Arithmetic modulo: x-rmod n iff there is q such as x- nq + r

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