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Private and secret keys consists of secret information used as input to various kinds of cryptographic algorithms such as encryption, signature and MAC to select the concrete transformation done by the algorithm.
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MAC unforgeability and secret key guessing
The standard notion security for MACs is usually expressed by means of experiments like the following one (given an attacker A):
$k \leftarrow \mathsf{KG}(1^\lambda)$
Invoke $A^{\mathsf{TAG}_k(\cdo …