Question 8 please do not use a computer system generater I need to see how it's done ### Cryptography Concepts and Problems**7. Merkle-Hellman Knapsack Cryptosystem****Ciphertext:** 261, 163, 196, 172, 217, 172, 89, 142, 76, 217, 209, 172, ?The above ciphertext was generated using the Merkle-Hellman Knapsack cryptosystem for a user with the following components:- **Private key sequence:** \{5, 8, 17, 36, 71\}- **Modulus (m):** 145- **Multiplier (a):** 82**Objective:** Obtain the plaintext message.---**8. Rabin Public-Key Encryption Scheme**The Rabin public-key encryption scheme is comparable to RSA. Your task is to explore this cryptosystem and decrypt the following ciphertext:**Ciphertext:** 25292168This text was encrypted for a user with the public key \( n = 27219809 \).---**9. Mathematical Proof****Task:** Prove that \( 9 \mid u_{n+24} \) if and only if \( 9 \mid u_n \).**Hint:** Use identity (1) on page 288.---**10. Fibonacci Identity****Task:** Establish the following Fibonacci identity: \[ u_{n+8} \equiv u_n \pmod{3} \]For solving these problems, you may need to revisit relevant concepts about cryptosystems, modular arithmetic, and Fibonacci sequences.

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Answered: 8. The Rabin public-key encryption…

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.

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

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