block ciphers and modes of operations.

(15 points) Let a message M- mim2 m3 m4 bc encrypted with AES by using one of the ECB, CBC and CTR modes of operations (mi is 128-bit) Corresponding ciphertext is C2 cA. C'is transmitted in a noisy channel and one of the following occurs . The second bit of c2 is flipped. . The order of c2 and ca is changed, i.e., Cc21c4 c2 is dropped, i.e., it is not received by the receiver part (receiver is not aware of the drop). O2 is dropped, ie., it is not received by the receiver part (receiver is aware that the second block is dropped) Receiver obtains plaintext M, millm,11m allm. (or M, 1 ml m for the last two cases) by decrypting the received ciphertext. Examine the difference between M and M' for each case (with each modes of operations) (15 points) Let a message M- mim2 m3 m4 bc encrypted with AES by using one of the ECB, CBC and CTR modes of operations (mi is 128-bit) Corresponding ciphertext is C2 cA. C'is transmitted in a noisy channel and one of the following occurs . The second bit of c2 is flipped. . The order of c2 and ca is changed, i.e., Cc21c4 c2 is dropped, i.e., it is not received by the receiver part (receiver is not aware of the drop). O2 is dropped, ie., it is not received by the receiver part (receiver is aware that the second block is dropped) Receiver obtains plaintext M, millm,11m allm. (or M, 1 ml m for the last two cases) by decrypting the received ciphertext. Examine the difference between M and M' for each case (with each modes of operations)