How many different matrices A = are there in modulo 2? How many of them are...

 

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How many different matrices A = are there in modulo 2? How many of them are invertible? (b.) (4 points) Suppose we know that the plaintext ABLE is encrypted as ZXTQ using Hill cipher in modulo 26 with a matrix A. Find A. (c.) (7 points) Use the following letter-to-number conversion table 0 1 2 3 4 5 6 7 8 9 ABCDE FGHIJ 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 K L MNOPQRSTUVWXYZ. 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 to decrypt the following message U 2 1 9 BU = knowing that it is the Hill cipher in modulo 37 and key matrix A = -19 How many different matrices A = are there in modulo 2? How many of them are invertible? (b.) (4 points) Suppose we know that the plaintext ABLE is encrypted as ZXTQ using Hill cipher in modulo 26 with a matrix A. Find A. (c.) (7 points) Use the following letter-to-number conversion table 0 1 2 3 4 5 6 7 8 9 ABCDE FGHIJ 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 K L MNOPQRSTUVWXYZ. 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 to decrypt the following message U 2 1 9 BU = knowing that it is the Hill cipher in modulo 37 and key matrix A = -19