6. Decode the following Hill 3-cipher if the first nine plaintext letters are IHAVECOME:HPAFQGGDUGDDHPGODYNOR7. If, in addition to the standard alphabet, a period, comma, and question mark are allowed, then29 plaintext and ciphertext symbols are available and all matrix arithmetic would be donemodulo 29. Under what conditions would a matrix with entries in Z29 be invertible modulo29?

Answered: Image /qna-images/answer/912bcf43-44f5-45f3-af5a-640085ca8a42.jpg

Answered: 6. Decode the following Hill 3-cipher…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question 4
In cryptography often use matrix operations but modulo some M for the calculations (for example, in Hill substitution ciphers.) Do the following mod 26 calculations (see the attached multiplication table mod 26): a. Compute the following matrix product modulo 26 [17 22 29 41 [21 1 1125 18 22 20 46 13 17 24 19]
In which of the scripts that follow matrix R is an orthonormal (or orthogonal) matrix. Remember, an orthogonal matrix is one whose transpose is its inverse. This means that if we multiply a matrix by its inverse the result is the identity matrix. Select one: a. A=rand(3,3);R = A + inv(A) b. A=rand(3,3);S=A-A'R = (eye(3)-S)*(eye(3)+S); c. A=rand(3,3);R = A + inv(A') d. A=rand(3,3);R = A - inv(A) e. A=rand(3,3);S=A-A'R = inv(eye(3)-S)*(eye(3)+S);
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 21
19 25 The Hill cipher with matrix 3 5 14 4 7. 11 was used to produce the following ciphertext: 1. 17 RCJCCUFYEXNUHWM Find the message.
Can someone please explain to me how I can solve this question?
40. Decode the message 71, 100, -1, 28, 43, -5, 84, 122, -11, 63, 98, -27, 69, 102, -12, 88, 126, -3, which was encoded using the matrix of Exercise 38. 1 2 -2 2 3 0 1 the matrix in the next picture is from 38 but here is a picture of 38 38. Encode the message THE BRITISH ARE COMING using the matrix
† 3.2. Let C be the binary linear code with generator matrix 1 0 0 1 1 01 G= 0 1 0 1 0 1 LO 0 1 1 1 0 List all the codewords in C and find the weight of each codeword. What is her d(C)?

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