Alice and Bob are using the EIGamal cipher with the parameters p = 53 and a = 2. Alice makes the mistake of using the same ephemeral key for two plaintexts, x1 and x2. The eavesdropper Eve suspects that x = 5. She sees the two ciphertexts y1 = 41 and y2 = 47 in transit; these are the encryptions of x1 and x2, respectively. a) What is the masking key kM? b) What is the plaintext x2?

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
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Chapter1: Introduction
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Alice and Bob are using the ElGamal cipher with the parameters p = 53 and a = 2.
Alice makes the mistake of using the same ephemeral key for two plaintexts, x1 and x2. The eavesdropper Eve suspects that x1 = 5. She sees the two
ciphertexts y1
= 41 and y2
47 in transit; these are the encryptions of a1 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 ElGamal cipher with the parameters p = 53 and a = 2. Alice makes the mistake of using the same ephemeral key for two plaintexts, x1 and x2. The eavesdropper Eve suspects that x1 = 5. She sees the two ciphertexts y1 = 41 and y2 47 in transit; these are the encryptions of a1 and x2, respectively. a) What is the masking key kM? b) What is the plaintext x2?
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