Alice and Bob are using the ElGamal cipher with 89 and a = 3. the parameters p = = Suppose Alice is observed sending public ephemeral key kô = 7 and Bob sends public key ß = 44. = Their private keys are i a) What is the masking key k? 81 and d 28, respectively. =

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**(11pt)** Alice and Bob are using the ElGamal cipher with the parameters \( p = 89 \) and \( \alpha = 3 \).

Suppose Alice is observed sending public ephemeral key \( k_E = 7 \) and Bob sends public key \( \beta = 44 \).

Their private keys are \( i = 81 \) and \( d = 28 \), respectively.

a) What is the masking key \( k_M \)?

[Text box for answer]

b) What is the encryption of \( x = 31 \)?

[Text box for answer]
Transcribed Image Text:**(11pt)** Alice and Bob are using the ElGamal cipher with the parameters \( p = 89 \) and \( \alpha = 3 \). Suppose Alice is observed sending public ephemeral key \( k_E = 7 \) and Bob sends public key \( \beta = 44 \). Their private keys are \( i = 81 \) and \( d = 28 \), respectively. a) What is the masking key \( k_M \)? [Text box for answer] b) What is the encryption of \( x = 31 \)? [Text box for answer]
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