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Bob's RSA public key is (n_B, e_B) = (77, 37), private key is d_B. Alice asks Bob to sign messages m_1 = 16, m_2 =

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Bob's RSA public key is (n_B, e_B) = (77, 37), private key is d_B. Alice asks Bob to sign messages m_1 = 16, m_2 = -5. She gets the corresponding signatures sigma_1 = 16^d_B (mod 77) = 37, sigma_2 = 5^d_B (mod 77) = 26. How can Alice forge a signature of Bob for the message m = 3 based on sigma_1 and sigma_2? (b) Suppose that Alice has an RSA system with public key (n, e) and private d. Eve wants to get d to attack this system. Eve does this simply by encrypting random massages m

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