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Does a MAC work as an HMAC? That is, does a MAC satisfy the same properties...

Does a MAC work as an HMAC? That is, does a MAC satisfy the same properties that an HMAC satisfies? (Hint: MAC is computed by CBC mode of symmetric block cipher, which also has a key K. Consider the cases of MAC and HMAC when K is known to the attacker.)

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Yes MAC work as an HMAC in a particular condition ,both used to provide integrity and authentication when the data transferred over untrusted network ,MAC has used to block ciphers like DES but HMAC used secret key in conjunction with a cryptographic hash function.

Yes ,this condition is applicable when K is known to an attacker for both HMAC and MAC.

when we knows the key ,that time onle way collision resistance are not required by MAC.though HMAC inherits the hash function under thr one way collision.

HMAC is a type of MAC ,but all MAC are not HMAC.

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