7. The following ciphertext 261 163 196 172 217 172 89 142 76 217 209 172 7 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 9un+24 if and only if 9 un. Hìnt: Use identity (1) on page 288. 10. Establish the following Fibonacci identity: (mod 3) "n 8+4n 11. Establish the following relation between Fibonacci and Lucas numbers: 11/19/2 百/08 67 prt sc delete insert f12 OL! V/ [オ backspace P. home enter 7

Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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7. The following ciphertext
261 163 196 172 217 172 89 142 76 217 209 172 7
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 9un+24 if and only if 9 un.
Hìnt: Use identity (1) on page 288.
10. Establish the following Fibonacci identity:
(mod 3)
"n 8+4n
11. Establish the following relation between Fibonacci and Lucas numbers:
11/19/2
百/08
67
prt sc
delete
insert
f12
OL!
V/
[オ
backspace
P.
home
enter
7
Transcribed Image Text:7. The following ciphertext 261 163 196 172 217 172 89 142 76 217 209 172 7 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 9un+24 if and only if 9 un. Hìnt: Use identity (1) on page 288. 10. Establish the following Fibonacci identity: (mod 3) "n 8+4n 11. Establish the following relation between Fibonacci and Lucas numbers: 11/19/2 百/08 67 prt sc delete insert f12 OL! V/ [オ backspace P. home enter 7
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