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Suppose Merkle hash tree is used to authenticate eight messages, m1, m2, . The eight messages are used to build the Merkle tree, and the root of the...

Suppose Merkle hash tree is used to authenticate eight messages, m1, m2, …, m8. The eight messages are used to build the Merkle tree, and the root of the tree is signed with a digital signature s. i) To authenticate m3, besides m3 itself and the signature s of the tree root, which elements should be included in the message? How can the receiver verify the integrity of m3? ii) To authenticate m8, besides m8 itself and the signature s of the tree root, which elements should be included in the message? How can the receiver verify the integrity of m8?

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