Question: You are using the RSA algorithm to encrypt and decrypt messages. Your public key is n = 119 and e = 37. (a) Determine the

You are using the RSA algorithm to encrypt and decrypt messages. Your public key is n = 119 and e = 37.

(a) Determine the prime factorization of n; that is, find your prime numbers p and q. Note that this is the expensive step that Eve would have to undertake to crack your encryption; it should be fairly straightforward with the small n used here.

(b) Calculate GCD(e, (n)). Is e a valid encryption key?

(d) You receive the encrypted message a = 32. What is the (decrypted) message?

Note: You might find slides 38 and 40 of the lecture notes very helpful for this problem. Slides 18 and 25 also define GCD and (n), respectively

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