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## Computer Science

 Algorithms Design Computer Network & Security Automata & Computation Operating System Computer Architecture Information Technology Internet Programming Software Engineering Data Communication Computer Graphics Compiler Design LINUX/UNIX Data Structure WINDOWS Application Digital Circuit E-Commerce Microprocessor Artificial Intelligence Data Warehouse Cryptography

Problem 1:

A) Alice, Bob and Charlie have a secret key a = 3, b = 4, c = 5, respectively.
B) They want to find a common secret key using Diffie-Hellan key exchange protocol (with g = 2, p = 5).
C) Assume that there is no man-in-the-middle attacker.
D) Show how they can share a common secret key with the above mentioned numbers.

Problem 2:

A) Encrypt and decrypt first 3 characters of your last name (family name) using RSA with the prime numbers (p = 7, q = 11).

(If your last name is shorter than 3 characters, use first 3 characters of your first name instead.)

Use ASCII code at: http://www.ascii.cl/

• e.g.) Michael Nordan
• A = 65, B = 66, …
• N -> 78, o->111, r->72

B) You can choose an encryption key e among {11, 13, 19, 23, 29} and find d.

C) You have to show the all the steps (in particular, EEA) as detail as possible.

D) Encrypt the message using your encryption key e like this way (n = pq):

If you number is greater than 76, decompose them into a smaller number as follows.

•    e.g., 7 8 11 17 2
•    (7^e)  mod n
•    (8^e) mod n
•    (11^e)  mod n
•    (17^e)  mod n
•    (2^e)  mod n

E) Decryption the ciphertext using private key d.

Computer Network & Security, Computer Science

• Category:- Computer Network & Security
• Reference No.:- M91793

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