nt) Alice and Bob are conducting Diffie-Hellman key exchange with the parameters p = 149 and a = 2. Their parameters are small and we decide to crack the key exchange. Suppose Alice is observed sending public key A = 43 and Bob sends public key B = 129. a) What is Alice's private key? b) What is Bob's private key? c) What is the shared secret?

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**Diffie-Hellman Key Exchange Example**

Alice and Bob are conducting a Diffie-Hellman key exchange with the parameters \( p = 149 \) and \( \alpha = 2 \).

Their parameters are small, and we decide to crack the key exchange.

Suppose Alice is observed sending public key \( A = 43 \) and Bob sends public key \( B = 129 \).

- **a) What is Alice's private key?**

  [Answer Box]

- **b) What is Bob's private key?**

  [Answer Box]

- **c) What is the shared secret?**

  [Answer Box]

This exercise demonstrates how to derive the private keys and shared secret using the observed public keys and given parameters.
Transcribed Image Text:**Diffie-Hellman Key Exchange Example** Alice and Bob are conducting a Diffie-Hellman key exchange with the parameters \( p = 149 \) and \( \alpha = 2 \). Their parameters are small, and we decide to crack the key exchange. Suppose Alice is observed sending public key \( A = 43 \) and Bob sends public key \( B = 129 \). - **a) What is Alice's private key?** [Answer Box] - **b) What is Bob's private key?** [Answer Box] - **c) What is the shared secret?** [Answer Box] This exercise demonstrates how to derive the private keys and shared secret using the observed public keys and given parameters.
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