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I really like this question, and have two things to say. First note that CBC-MAC is no good since given the key it's easy to find a collision. Let $t$ be a tag for a message $m=m_1,m_2$ of length $\ell$ bits. Then, in CBC-MAC the input to AES first is $\ell$ and then the output is XORed with $m_1$ and input to AES, and so on. Let $t_1$ be the intermediate ...

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