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lice and Bob use the Diffie-Hellmanprotocol to create two keys k1 and k2. In generatingk1, Alice selects a random number x and computesSA = g

lice and Bob use the Diffie-Hellmanprotocol to create two keys k1 and k2. In generatingk1, Alice selects a random number x and computesSA = gxmod p. Bob selects a random number y and computes SB = gymod p. Alice and Bob exchange SAand SB, andk1 = gxymod p.In generatingk2. Alice chooses another random number x1 but Bob still uses the same random number y. Supposean eavesdropperknows that x and x1 differ each other by t (i.e., ||x-x1|| = t).Given the knowledge of k1and a pair of plaintext M and ciphertext C encrypted by k2, can the eavesdropperfind out k2?

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