Before HMAC, it was common to define a MAC for arbitrary-length messages by Macsm=Hkm where H is a collision-resistant hash function. Show that this is never a secure MAC when H is constructed via the Merkle-Damgard transform. (Assume that the hash key s is known to the attacker, and only k is kept secret.)Prove that this is a secure MAC if H is modeled as a random oracle.
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