Question 4 ty ofthe integeiV, = 313 = 12 (mod 43)PROBLEMS 10.3forwarded to a user with public key (47, 5, 10) and private key k -%D() Indicate how the ciphertext can be decrypted using the recipient's privnertex2. Suppose that the following ciphertext is received by a person having EIGamkey (71, 7, 32) and private key k = 30:(56, 45) (56, 38) (56, 29) (56, 03) (56, 67)(56, 05) (56, 27) (56, 31) (56, 38) (56, 29)Obtain the plaintext message.3. The message NOT NOW (numerically 131419131422) is to be sent to a user of thEIGamal system who has public key (37, 2, 18) and private key k = 17. If the intenj used to construct the ciphertext is changed over successive four-digit blocks fromj = 13 to j = 28 to j = 11, what is the encrypted message produced?4. Assume that a person has ElGamal public key (2633, 3, 1138) and private key k = 965.If the person selects the random interger j = 583 to encrypt the message BEWARE OFTHEM, obtain the resulting ciphertext.[Hint: 3583 = 1424 (mod 2633), 1138583 = 97 (mod 2633).]5. (a) A person with public key (31,2,22) and private key k = 17 wishes to sign a messagewhose first plaintext block is B = 14. If 13 is the integer chosen to construct uesignature, obtain the signature produced by the ElGamal algorithm.(b) Confirm the validity of this signature.%3D%3D%3D%3D

Answered: Image /qna-images/answer/c886f45b-01e0-4a7c-9b0a-da8b8acdd1aa.jpg

Answered: age produce Assume that a person has…

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter4: Eigenvalues And Eigenvectors

Section4.6: Applications And The Perron-frobenius Theorem

Problem 56EQ

See similar textbooks

Similar questions

Suppose that the check digit is computed as described in Example . Prove that transposition errors of adjacent digits will not be detected unless one of the digits is the check digit. Example Using Check Digits Many companies use check digits for security purposes or for error detection. For example, an the digit may be appended to a -bit identification number to obtain the -digit invoice number of the form where the th bit, , is the check digit, computed as . If congruence modulo is used, then the check digit for an identification number . Thus the complete correct invoice number would appear as . If the invoice number were used instead and checked, an error would be detected, since .
a. Excluding the identity cipher, how many different translation ciphers are there using an alphabet of n "letters"? b. Excluding the identity cipher, how many different affine ciphers are there using an alphabet of n "letters," where n is a prime?
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?
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.
How do I find the refrence point for t = 3.2
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.
Find all pairs of integers keys (a, b) for affine ciphers for which the encryption function c = (ap + b) mod 26 is the same as the corresponding decryption function.
Show that Sn is solvable when n ≤ 4.
Suppose that the ciphertext ERC WYJJMGMIRXPC EHZERGIH XIGLRSPSKC MW MRHMWXMRKYMWLEFPI JVSQ QEKMG was produced by encrypting a plaintext message using a shift cipher. What is the original plaintext?
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

SEE MORE QUESTIONS

Recommended textbooks for you

Linear Algebra: A Modern Introduction

Algebra

ISBN:

9781285463247

Author:

David Poole

Publisher:

Cengage Learning

Elements Of Modern Algebra

Algebra

ISBN:

9781285463230

Author:

Gilbert, Linda, Jimmie

Publisher:

Cengage Learning,

Linear Algebra: A Modern Introduction

Algebra

ISBN:

9781285463247

Author:

David Poole

Publisher:

Cengage Learning

Elements Of Modern Algebra

Algebra

ISBN:

9781285463230

Author:

Gilbert, Linda, Jimmie

Publisher:

Cengage Learning,

SEE MORE TEXTBOOKS