Question: Considering the Discrete Logarithm Problem (DLP) in Z * 11 , find the positive integer x such that 4 x 3 mod 11. Show your

Considering the Discrete Logarithm Problem (DLP) in Z^*₁₁, find the positive integer x such that 4^x 3 mod 11. Show your work

Find the primitive elements of the cyclic group Z^*₅.

If Alice and Bob wish to arrive at a shared key without actually exchanging the key using Diffie-Hellman Key exchange, Alice publishes p=11 and =5. Alice chooses a=4 and Bob chooses b=6. Show

the message sent by Alice to Bob

the message sent by Bob to Alice

the final shared key that they derive.

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