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Cryptography. Encode the message "FINITEINCANTATEM” using matrix
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- Suppose that a message is encrypted using a Hill Cipher with matrix 1 A -1 2 If the message begins with the word "face" then what are the first four numbers of the encrypted message? Recall that we convert letters to numbers using a C d e 1 4 6. Your answer should be a sequence of four integers, enter them separated by commas, for example: 14,2,23,-6arrow_forward2. Assume that the letters of the English alphabet will be converted to numerical forms as follows: A = 26, B = 25, C = 24, ...Z = 1 and space = 0. Try to manually encrypt the message "SALAMAT SHOPEE" .1 -1 using the encryption matrix E 13arrow_forwardProblem 6: Consider these two matrices: 1 3 1 1 3 and 2 4 1 2 4 3 5 0 Assume they are used for an encryption in Hill ciphers. In each case, find two plaintexts that encrypt to the same ciphertext.arrow_forward
- 11. Use the coding matrix A= O A. ACTS O B. ARMS O C. ABLE O D. ALAS 1-4 -2 and its inverse A¹ = -1 9 2 4 to decode the cryptogram -7-8 16 21arrow_forwardSuppose the RSA cryptosystem is used with public key (35, 7). What is the corresponding cipher text when the plain text "2" is sent? O 23 15 12 O 8arrow_forwardProblem 1. The ciphertext IPQASEKZYSLA comes from a Vernam encryption with the short keys A and B of length (A) = 2 and l(B) = 3. Furthermore, we also know that the original plaintext starts with SHOW. Reconstruct the long key R. (a) (b) Decipher the message. As usual, Vernam uses the following letter-to-number conversion table. ABCDEFGHIJKLMNOPQRS 012 3 45 6 7 8 9 10 11 12 13 14 13 14 15 16 17 18 TUVWX ΥΤΖ 19 20 21 22 23 24 25arrow_forward
- Decipher the cryptogram 13 19 10 -1 -33 -77 3 -2 -14 4 1 -9 -5 -25 -47 4 1 -9 knowing that it was encrypted with the matrixarrow_forwardActivity 4: To protect the network from cyber-attacks, some advanced encrypting techniques are employed. In one or more stages of encrypting and decrypting the signals, the following operations should be computed: 4-1) Compute the following arithmetic operations that are used in different stages of the previously explained engineering problem: a. 5+ j4 +3- j7 b. (2j – 4)(5+j7) c. (5-j2) / (2j-5) HT Page 6 of 8 حسين التقنية Al Hussein Technic d. (6j-7) / (3j-12) e. (8ei4)(3ej8) f. (2430)/ (4260) 12ej5 g. 324 h. (2ei4)(24) i. (5(cos(20) + jsin(20)))10 j. (5 – j2)105 Hint: Use de Moivre's Theorem Hint: Use de Moivre's Theoremarrow_forwardSuppose (n, d) = (55, 3) is the private key of an RSA cryptosystem. If the received ciphertext is C = 49, what is the corresponding plaintext? 14 3 10 4arrow_forward
- 9. Matrices can be used to send encrypted messages. Say you have a message matrix M and an encryption matrix E. The encrypted message will be the product of those two matrices, i.e. A = EM. In the matrix A, the numbers of M will be mangled with those of E. Unencrypting the message requires performing the reverse operation to retrieve M from A. You have been sent an encrypted message: A = m - 20 -m+ 24 and two possible encryption keys E1 = t - 5v a - 5e a +6e -t+6v (18). 1 E₂ = -8 3 h-5a -h+6a) 4 21 16 -2 1 (a) Without performing any calculation, determine which of the encryption keys was used to encrypt the message. (b) Decrypt the message, i.e., find M from A using either E₁ or E2 in an appropriate way.arrow_forwardShow that B=1132 is the inverse of A=2131.arrow_forwardShow that |a1111a1111a1111a|=(a+3)(a1)3arrow_forward
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