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What is a collision onto a hash value? Why is it very unlikely? What does the recipient of a message and a hash do with

What is a collision onto a hash value? Why is it very unlikely? What does the recipient of a message and a hash do with them? Why? What does it mean if the recipient's locally generated hash is identical to the received hash? What information security service is provided by a MAC but not by a hash? How can a hash algorithm be used in a MAC function? What is an HMAC? Who could have created a MAC for a given message?

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