7. The following ciphertext 261 163 196 172 217 172 89 142 76 217 209 172 ? was produced using the Merkle-Hellman Knapsack cryptosystem for a user with a private key that consists of the sequence {5, 8,17, 36, 71}, modulus m = message. 145, and multiplier a = 82. Obtain the plaintext 8. The Rabin public-key encryption scheme is similar to RSA. Research this cryptosystem and decrypt the following ciphertext: 25292168 which was encrypted for a user with public key n = 27219809. 9. Prove that 9 u,424 if and only if 9 u,n. Hint: Use identity (1) on page 288. 10. Establish the following Fibonacci identity:

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
icon
Related questions
Question

Question 7

7. The following ciphertext
261 163 196 172 217 172 89 142 76 217 209 172 ?
was produced using the Merkle-Hellman Knapsack cryptosystem for a user with a private key that
consists of the sequence {5, 8,17, 36, 71}, modulus m = 145, and multiplier a = 82. Obtain the plaintext
message."
1
8. The Rabin public-key encryption scheme is similar to RSA. Research this cryptosystem and decrypt the
following ciphertext:
25292168
which was enerypted for a user with public key n 27219809.
9. Prove that 9 u+24 if and only if 9 u,.
Hint: Use identity (1) on page 288.
10. Establish the following Fibonacci identity:
(mod 3)
11. Establish the following rehtion betvwon Filonacei and Luas nunbers.
10:56 AM
cor c
Transcribed Image Text:7. The following ciphertext 261 163 196 172 217 172 89 142 76 217 209 172 ? was produced using the Merkle-Hellman Knapsack cryptosystem for a user with a private key that consists of the sequence {5, 8,17, 36, 71}, modulus m = 145, and multiplier a = 82. Obtain the plaintext message." 1 8. The Rabin public-key encryption scheme is similar to RSA. Research this cryptosystem and decrypt the following ciphertext: 25292168 which was enerypted for a user with public key n 27219809. 9. Prove that 9 u+24 if and only if 9 u,. Hint: Use identity (1) on page 288. 10. Establish the following Fibonacci identity: (mod 3) 11. Establish the following rehtion betvwon Filonacei and Luas nunbers. 10:56 AM cor c
Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Knowledge Booster
Encryption and decryption
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, computer-science and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Database System Concepts
Database System Concepts
Computer Science
ISBN:
9780078022159
Author:
Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:
McGraw-Hill Education
Starting Out with Python (4th Edition)
Starting Out with Python (4th Edition)
Computer Science
ISBN:
9780134444321
Author:
Tony Gaddis
Publisher:
PEARSON
Digital Fundamentals (11th Edition)
Digital Fundamentals (11th Edition)
Computer Science
ISBN:
9780132737968
Author:
Thomas L. Floyd
Publisher:
PEARSON
C How to Program (8th Edition)
C How to Program (8th Edition)
Computer Science
ISBN:
9780133976892
Author:
Paul J. Deitel, Harvey Deitel
Publisher:
PEARSON
Database Systems: Design, Implementation, & Manag…
Database Systems: Design, Implementation, & Manag…
Computer Science
ISBN:
9781337627900
Author:
Carlos Coronel, Steven Morris
Publisher:
Cengage Learning
Programmable Logic Controllers
Programmable Logic Controllers
Computer Science
ISBN:
9780073373843
Author:
Frank D. Petruzella
Publisher:
McGraw-Hill Education