Decrypt the message ORWWPGDII which was encrypted using the affine cipher:f(p) = (11p+ 5) mod 26Alphabet: A = 0, B = 1, ... , Z = 25Message:

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Answered: Decrypt the message ORWWPGDII which was…

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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Find the inverse of 17 modulo 97 9 iec t2 'N Decrypt the following message using shift cipher: f(p) = (p+ 10) mod 26 ' LO WI PBSOXN"
Let A=0, Z=25
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) = (5, 1) to come up with the cipher text for DO WELL. (c) The key (a, b) = (5, 1) was used to generate the following cipher text. Decrypt the message. gbidxv vbfev
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
Determine, if possible, the affine cipher C = aP + b (mod 26) that sends plaintext "OK" to ciphertext "HI."
Apply the affine cipher formula C=(5P + 2) mod 26 to encript "LASER PRINTER". JGNSA DUNTXNA JSNAS DNUTXAN JGSAN DNUTXAN JGSAN DUNXANT
12. A parking lot has visitor spaces, numbered from 0 to 30. Visitors are assigned parking spaces using the Hashing function h(k) = k mod 31, where k is the number formed from the license plate. Which spaces are assigned by the Hashing function to cars that have the following license plates: 317, 007, 102, 111, 918 ? (x2 + 1) mod 15, show how the data 5, 8, 20, 32 and 13. For the Hashing function h(x) 40 would be inserted in the order given in initially empty cells indexed 0 to 14.
Construct an affine cipher that uses only uppercase letters of English alphabet encoded as elements of Z26 as shown in the table below: A|B|C|D E FG|HIJK|L M 0|1|23 45678 a) Choose a proper key k = (a, b) where a # 1 and b # 0 b) Write the encryption function c) Write the decryption function d) Encrypt the first two letters of your name 9 10 11 12 NO|P|Q RST|UVWX|Y|Z 13 14 15 16 17 18 19 20 21 22 23 24 25
a. Given p=23, q=7, and e=5, generate the public key (n,e) and the private key (n,d) using RSA Key generation algorithm. b. Given Bob's public key of (85, 7) and private key of (85, 55), show how Alice can encrypt m=7 to send to Bob. Show the ciphertext. c. Given Bob's public key of (85, 7) and private key of (85, 55), show how Bob can decrypt the ciphertext y=8 received from Alice. Show the plaintext. d. Using the fast exponentiation method (page 182), determine 535 mod 47
The ciphertext 75 was obtained using the RSA algorithm with n = 437 and e = 3. You know the plaintext is either 8 or 9. Determine which it is without factoring n.

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Decrypt the message ORWWPGDII which was encrypted using the affine cipher: f(p) = (11p + 5) mod 26 Alphabet: A = 0, B = 1, ... , Z = 25 Message: