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P2 5pts Digital signature is typically put on the oneway.pdf

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P2. (5pts) Digital signature is typically put on the one-way hash of the message, instead of on the message directly. One of the reasons is the cost, because signing a short hash value is more efficient than signing a message that can be very long. Bob says that his message is always short, so he decides to directly sign the message, rather than signing its hash. (1) Without knowing Bobs private key, can you generate a pair (m, s), where s is Bobs signature on m, and m can be any message? (2) If Bob signs the one-way hash of the message, can you still generate such a pair?.

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P2. (5pts) Digital signature is typically put on the one-way hash of the message, instead of on the message directly. One of the reasons is the cost, because signing a short hash value is more efficient than signing a message that can be very long. Bob says that his message is always short, so he decides to directly sign the message, rather than signing its hash. (1) Without knowing Bobs private key, can you generate a pair (m, s), where s is Bobs signature on m, and m can be any message? (2) If Bob signs the one-way hash of the message, can you still generate such a pair?

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