5. Suppose that a Hill cipher with a 2 by 2 matrix encrypts the plaintext "friday" to the ciphertext PQCFKU (as usual a = 00, b = 01, c = 02, ..., z = 25 and we work mod 26 in the cipher). Find the key and show how to use it to decrypt the ciphertext.
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Consider the Hill cipher defined by (1.11), ek(m) ≡k1 ·m k2 (p) and dk(c) ≡k1^-1 ·(c-k2) (p), where m, c, and k2 are column vectors of dimension n, and k1 is an n-by- n matrix. (a) We use the vector Hill cipher with p=7 and the key k1=( 1 2 2) and k2=( 5 4). (i) Encrypt the message m=( 2 1). (ii) What is the matrix k1^-1 used for decryption? (iii) Decrypt the message c=( 3 5). (b) Explain why the Hill cipher is vulnerable to a chosen plaintext attac
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