Alice and Bob use the ElGamal scheme with a common prime q= 131 and a primitive root a = 6. Let Bob's public key be YB = 3. A. What is the ciphertext of M=9 if Alice chooses the random integer k=4? B. If Alice uses the same k to encrypt two messages M₁ and M₂ as (12, 65) and (12, 64), what is the relation between M₁ and M₂?

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Alice and Bob use the ElGamal scheme with a common prime q = 131 and a primitive root a = 6. Let Bob's public
key be YB = 3.
A. What is the ciphertext of M=9 if Alice chooses the random integer k=4?
B.
If Alice uses the same k to encrypt two messages M₁ and M₂ as (12, 65) and (12, 64), what is the relation
between M₁ and M₂?
Transcribed Image Text:Alice and Bob use the ElGamal scheme with a common prime q = 131 and a primitive root a = 6. Let Bob's public key be YB = 3. A. What is the ciphertext of M=9 if Alice chooses the random integer k=4? B. If Alice uses the same k to encrypt two messages M₁ and M₂ as (12, 65) and (12, 64), what is the relation between M₁ and M₂?
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