1.24 An Affine-Hill Cipher is the following modification of a HilI Cipher: Let m be a positive integer, and define P(Z2) In this cryptosystem, a key K consists of a pair (L,b), where L is an m m invertible matrix over 726, and b E (Z26 )m. For r = (zi, , zm) E P and K = (L, b) X, we compute y = ex(x) = (yi, , ym) by means of the formula y = zL + b. Hence, if L = (li's) and b = (b1 , . . . , bm), then L1. ,7m 2,1 2,2. . , m m,1 m,2 m,m Suppose Oscar has learned that the plaintext is encrypted to give the ciphertext and Oscar also knows that m - 3. Determine the key, showing all computations. adisplayedequation DSRMSIOPLXLJBZULLM 1.24 An Affine-Hill Cipher is the following modification of a HilI Cipher: Let m be a positive integer, and define P(Z2) In this cryptosystem, a key K consists of a pair (L,b), where L is an m m invertible matrix over 726, and b E (Z26 )m. For r = (zi, , zm) E P and K = (L, b) X, we compute y = ex(x) = (yi, , ym) by means of the formula y = zL + b. Hence, if L = (li's) and b = (b1 , . . . , bm), then L1. ,7m 2,1 2,2. . , m m,1 m,2 m,m Suppose Oscar has learned that the plaintext is encrypted to give the ciphertext and Oscar also knows that m - 3. Determine the key, showing all computations. adisplayedequation DSRMSIOPLXLJBZULLM