d. Does set of M-DES encrypt permutations have elemnts with 3-cycles?

e. How many permutation represented by M-DES encrypt permutation?

f. Largest order of 1-round M-DES permutation?

Consider the following simplified version of a 2-round DES used by Mickey Mouse (M-DES). |M| = |P|=|K|=(24). S-Boxes: Si=[1" "0"] and Sr=["1" "1"]. The initial and final permutation are the identity permutation. The expansion function i the identity function. Key schedule: For a key K=(k1k2k3 kg), the round 1 key is K1=(kaki) and the round 2 key is Kg =(k2k3). a.) Does M-DES have weak keys? If yes, list the weak keys? b.) What is the orbit of the plaintext "0011 under the key "1011? c.) Are there any M-DES encryption permutations that have fixed points? Consider the following simplified version of a 2-round DES used by Mickey Mouse (M-DES). |M| = |P|=|K|=(24). S-Boxes: Si=[1" "0"] and Sr=["1" "1"]. The initial and final permutation are the identity permutation. The expansion function i the identity function. Key schedule: For a key K=(k1k2k3 kg), the round 1 key is K1=(kaki) and the round 2 key is Kg =(k2k3). a.) Does M-DES have weak keys? If yes, list the weak keys? b.) What is the orbit of the plaintext "0011 under the key "1011? c.) Are there any M-DES encryption permutations that have fixed points