How can an attacker find the three keys with effort

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Problem 

In EDE mode of 3DES, encryption of message m with keys k1, k2 and k3 works as follows: C=Ek1(Dk2(Ek3(m))), where E and D denote the encryption and decryption operation of DES respectively. Given several <m, c> pairs, how can an attacker find the three keys with effort in the order of 2112 instead of 2168? Describe the attack in detail. (Hint: meet-in-the-middle attack)

Reference no: EM132103929

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