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No, there is no known way. It would actually be rather surprising if there were even a theoretical way; the SHA-256 and the SHA-512 compression functions are rather different (for one, one works with 32 bit words and the other works with 64 bit words); one wouldn't expect them to share any sort of relation.


1

It seems that all this discussion about the IV is just to confuse the reader. Ignore IV. You just have to do a simple length-extension attack on the CBC-MAC. Yes, one message is enough.



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