Question: a. Let ?? = 111... ... 111 be the DES key consisting of all 1s. Show that if ?? K (P) = C, then ??

a. Let ?? = 111... ... 111 be the DES key consisting of all 1s. Show that if ??K(P) = C, then ??K(C) = P, meaning encrypting twice with this key returns the plaintext.

Note: ??K denotes Encryption function parameterized by a key, ??. ?? denotes plaintext and ?? denotes ciphertext.

[15 marks]

b. Find another key that has the same property as ?? in part (a).

[5 marks]

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