decrypt the message3. Consider the Hill 2-cipher with the encryption matrixyou just received from your super paranoid mom if it readsNMY RRWyou may find the following table of multiplicative inverses useful (mod(26), a=1):79.11151719212325a131531923111725-119.21that maxinmizes Z = 2r+7y

Consider the Hill 2-Cipher with the encryption matrix 11152. The aim is to solve decrypt the message…

Answered: [11 3. Consider the Hill 2-cipher with…

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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Recall that an affine cipher, fa,b(n) = an + b( mod 26), where a, b ∈ {0, 1, 2, . . . , 25}, is said to be valid if gcd(a, 26) = 1. (a)Use the key (a, b) = (3, 0) to come up with the cipher text corresponding to the following plaintext DO WELL. (b)Now use the key (a, b) = (6, 3) to generate multiple (at least two) cipher texts corresponding to the same message DO WELL.
(a) Male honeybees are from single parent families; they are from unfertilized eggs so only have mothers. Female honeybees are from two parent families; they are from fertilized eggs so have both mothers and fathers. Let Bn bethe number of nth generation ancestors of a male honeybee. For example: B1 = 1 (itself), B2 = 1 (its mother), B3 = 2 (its grand-father and grand-mother), etc. Find a recurrence relation for Bn. [Assume that no honeybee appears more than once in the ancestral tree; that is, each honeybee has at most one child in the tree.](b) Prove that if n is divisible by four then Bn is divisible by three.
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]
O O O o icket systemMy Dispense Academic Calendar My courses (8) - 13 March > Mid Course dashboc 3 4 1 and AB = -2 5 If A = 1 find b24, the (2, 4)-entry of B. vered -1 0 3 (а) — 4 (b) 8 (c) -2 (d) 3 (e) 11 of 1.00 stion Select one: Od O e
1.3. For this exercise, use the simple substitution table given in Table 1.11. (a) Encrypt the plaintext message The gold is hidden in the garden. (b) Make a decryption table, that is, make a table in which the ciphertext alphabet is in order from A to Z and the plaintext alphabet is mixed up. (c) Use your decryption table from (b) to decrypt the following message. IBXLX JVXIZ SLLDE VAQLL DEVAU QLB
Let 6 30 43 A = -1 -1 1 5 25 35 (a) Compute det(A) = (b) Use Cramer's rule to solve the following system 6x1 -x1 5x1 +302 +43 x3 = -1 - x2 + x3 = 2 +252 + 35x3 = 5 x11 9. x2= 9. x3 =
(a) Write (152) (341) (6352) ≤ S6 in array form. Fill in the blank row below. 1 2 3 4 5 6 (b) Express [ 1 2 3 4 5 6 7 8 9 1 4 2 97 8 5 3 6 as a product of disjoint cycles. (c) How many elements of order 10 does S7 have?
1. Can you please show me how to write Z12? From the image, how did we get [8]12 = [20]12 .... rest is in the image. From where did the numbers come? 2. In Z7 , can you please show me how to get the multiplicative inverse of Z7 ? How did the book list [1]7-1 = [1]7 = [2]7-1 = [4]7 .... the rest is in the image. please do easily explain them to me so I can follow up with your steps and understand. Thank you.
29) Show that the following 3x3 matrices are inverses of each other by calculating AB and BA. What is the resulting matrix in both cases? 1. -1 2. 1 21 1 A = |2 -5 1. and B = Co 0. 3. 1. 6. Activate Wind Go to esettings 3 3 2| 3 297 123

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[11 3. Consider the Hill 2-cipher with the encryption matrix decrypt the message you just received from your super paranoid mom if it reads NMY RRW you may find the following table of multiplicative inverses useful (mod(26), a=1): 1 7 9. 11 15 17 19 21 23 25 a -1 1 9. 21 15 3 19 23 11 17 25 a