security module

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(HW1) List some of the attacks on the Diffie-Hellman key exchange protocol we discussed in the lecture. Present your solution for avoiding such attacks.

(HW2) In the Diffie-Helman protocol, g=11, p=31, x=3, and y=9.
1. What is the value of the symmetric key?
2. What is the value of R1 and R2?

(HW3) Using RSA scheme, let p=23, q=31, d=233, calculate the public key e. Provide detailed description of all steps, explain what information will be published and what destroyed.
Optionally: Encrypt and decrypt simple message M1=100.

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