Alice and Bob are using the EIGamal cipher with the parameters p 97 and a = 5. Alice makes the mistake of using the same ephemeral key for two plaintexts, x, and x2. The eavesdropper Eve suspects that x = 33. She sees the two ciphertexts y, = 64 and y, = 53 in transit; these are the encryptions of x, and x2. respectively. a) What is the masking key kM? b) What is the plaintext x2?

Computer Networking: A Top-Down Approach (7th Edition)
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Author:James Kurose, Keith Ross
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Alice and Bob are using the EIGamal cipher with the parameters p = 97 and a = 5.
Alice makes the mistake of using the same ephemeral key for two plaintexts, x, and x2. The eavesdropper Eve suspects
that x, = 33. She sees the two ciphertexts y, = 64 and y2 = 53 in transit; these are the encryptions of x, and x2.
respectively.
a) What is the masking key kM?
b) What is the plaintext x2?
Transcribed Image Text:Alice and Bob are using the EIGamal cipher with the parameters p = 97 and a = 5. Alice makes the mistake of using the same ephemeral key for two plaintexts, x, and x2. The eavesdropper Eve suspects that x, = 33. She sees the two ciphertexts y, = 64 and y2 = 53 in transit; these are the encryptions of x, and x2. respectively. a) What is the masking key kM? b) What is the plaintext x2?
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