Suppose that Alice's RSA public key is (N, e) = (187, 37) with p = 17 and q = 11. a. Find her private key, d. b. If Bob encrypts the message M = 4 using Alice's public key, find the ciphertext C. c....

Suppose that Alice's RSA public key is (N, e) = (187, 37) with p = 17 and q = 11.

a. Find her private key, d.

b. If Bob encrypts the message M = 4 using Alice's public key, find the ciphertext C.

c. Let S be the result when Alice digitally signs the message M = 4, then find S.

d. If Alice receives the ciphertext C = 15 from Bob, then find Bob's message M