Problem 2. a. For RSA, let p = 1997 and q = 2003, so N = 3999991. Let e = 3. Encrypt BAN = [01] [OC] [13] = 10013, BAT = 10019, and BAY = 10024. Can you tell from the ciphertexts that only one letter has been change in the plain text? (In a good cryptosystem, a small change in the plaintext makes a large change in the ciphertext.) b. Determine the decryption exponent d. c. Bob tries to send you the ciphertext c = 135962 (Coming From Y AY = 240024), but there is a transmission error and you receive c = 135963. Do you obtain anything close to the intended message? 1 Problem 2. a. For RSA, let p = 1997 and q = 2003, so N = 3999991. Let e = 3. Encrypt BAN = [01] [OC] [13] = 10013, BAT = 10019, and BAY = 10024. Can you tell from the ciphertexts that only one letter has been change in the plain text? (In a good cryptosystem, a small change in the plaintext makes a large change in the ciphertext.) b. Determine the decryption exponent d. c. Bob tries to send you the ciphertext c = 135962 (Coming From Y AY = 240024), but there is a transmission error and you receive c = 135963. Do you obtain anything close to the intended message? 1