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?
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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F648d38bc-f5b9-4baf-95bc-853621e34b39%2Fdd8e818e-7545-425e-ad94-c8c454273572%2Fz47xeso_processed.jpeg&w=3840&q=75)
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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