user A sends two messages to user B using ElGamal. user C listens on the line...

user A sends two messages to user B using ElGamal. user C listens on the line and intercepts both messages, and got the decryption of the first message. explain well if user C can decrypt the second message as well:

1)user A sends two messages E(m) and E(m'). to encrypt the first message user A used the variable k and to encrypt the second k+5. User C knows that there's a difference of 5 between the k values chosen. can he recover the second message?

2)user A sends two messages E(m) and E(m'). to encrypt the first message user A used the variable k and to encrypt the second 2k. User C knows that the second k used is two times the first k used. can he recover the second message?

please explain mathematically and elaborate so i can understand and learn from your answer. thank you very much.

Expert Solution

Colby Messinger answered 1 year ago

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