Alice uses the Hill cipher, encrypting the plaintext

Consistency is the last refuge of the unimaginative

to get the ciphertext

voqimugocogmttfkxvlvdynhawugtfrsksoizgaanlygk

which she send to Bob using blocks of size m = 3 (and n = 26). Find the matrix used for encryption. The matrix key spells out a keyword: what is it? After you nd the key, notice that Alice has not followed the protocol correctly. Find two plaintexts that encrypt to the same ciphertext.