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…

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter2: The Integers

Section2.8: Introduction To Cryptography (optional)

Problem 11E: Suppose the alphabet consists of a through z, in natural order, followed by a blank and then the...

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Suppose that in an RSA Public Key Cryptosystem, the public key is e=13,m=77. Encrypt the message "go for it" using two-digit blocks and the 27-letter alphabet A from Example 2. What is the secret key d? Example 2 Translation Cipher Associate the n letters of the "alphabet" with the integers 0,1,2,3.....n1. Let A={ 0,1,2,3.....n-1 } and define the mapping f:AA by f(x)=x+kmodn where k is the key, the number of positions from the plaintext to the ciphertext. If our alphabet consists of a through z, in natural order, followed by a blank, then we have 27 "letters" that we associate with the integers 0,1,2,...,26 as follows: Alphabet:abcdef...vwxyzblankA:012345212223242526
Suppose that in a long ciphertext message the letter occurred most frequently, followed in frequency by. Using the fact that in the -letter alphabet, described in Example, occurs most frequently, followed in frequency by, read the portion of the message enciphered using an affine mapping on. Write out the affine mapping and its inverse.
Suppose that in an RSA Public Key Cryptosystem, the public key is. Encrypt the message "pay me later” using two-digit blocks and the -letter alphabet from Example 2. What is the secret key? Example 2 Translation Cipher Associate the letters of the "alphabet" with the integers. Let and define the mapping by where is the key, the number of positions from the plaintext to the ciphertext. If our alphabet consists of through, in natural order, followed by a blank, then we have "letters" that we associate with the integers as follows:
Use the alphabet C from the preceding problem and the affine cipher with key a=11andb=7 to decipher the message RRROAWFPHPWSUHIFOAQXZC:Q.ZIFLW/O:NXM and state the inverse mapping that deciphers this ciphertext. Exercise 7: Suppose the alphabet consists of a through z, in natural order, followed by a colon, a period, and then a forward slash. Associate these "letters" with the numbers 0,1,2,...,28, respectively, thus forming a 29-letter alphabet, C. Use the affine cipher with key a=3andb=22 to decipher the message OVVJNTTBBBQ/FDLWLFQ/GATYST and state the inverse mapping that deciphers this ciphertext.
Decrypt the message "XMJQYJWNSUQFHJ" which was encrypted with a Caesar cipher with a shift of 5 (A to F). Give your response in all caps with no spaces.
Suppose that when a string of English text is encrypted using a shift cipher f (p) = (p + k) mod 26, the resulting ciphertext is DY CVOOZ ZOBMRKXMO DY NBOKW. What was the original plaintext string?
What is the decryption function for an affine cipher if the encryption function is c = (15p + 13) mod 26?
Consider the affine cipher with key k = (k1, k2) whose encryption and decryption functions are given by (1.11) on page 43. Alice and Bob decide to use the prime p = 601 for their affine cipher. The value of p is public knowledge, and Eve intercepts the ciphertexts c1 = 324 and c2 = 381 and also manages to find out that the corresponding plaintexts are m1 = 387 and m2 = 491. Determine the private key and then use it to encrypt the message m3 = 173.
Suppose that the most common letter and the second most common letter in a long ciphertext produced by encrypting a plaintext using an affine cipher f (p) = (ap + b) mod 26 are Z and J, respectively. What are the most likely values of a and b?
Suppose that when a long string of text is encrypted using a shift cipher f (p) = (p + k) mod 26, the most common letter in the ciphertext is X. What is the most likely value for k, assuming that the distribution of letters in the text is typical of English text?
(Hill Cipher) Decrypt the following cipher text: YZZN Using the key K =
The affine cipher E is given by E(x) ≡ 15x − 7 (mod 26). The conversion table for letters and numbers is attached. Show that 7 is a multiplicative inverse of 15 modulo 26.

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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