a. Let a, b, c, d, e, f be integers (mod 26). Consider the following combination of the Hill and affine ciphers: represent a block of plaintext as a pair (x, y) (mod 26). The corresponding ciphertext (u, v) is

(x, y) + (e, f) ? (u, v) (mod 26).

Encrypt the plaintext here using the values below:

(x, y) + (8, 11) ? (u, v) (mod 26)

b. Describe how to perform a chosen plaintext attack on this system (with the goal of finding the key a, b, c, d, e, f) State the plaintexts you chose and how to recover the key.

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