IP Security Architecture

A cryptographic hash function must satisfy all of the following properties:

• Compression

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• Efficiency

• One-way

• Weak collision resistance

• Strong collision resistance

a. Suppose that a hash function fails to provide compression but provides all of the other required properties. Give an application where a cryptographic hash function should be used, but where this hash function would fail to be useful.

b. Repeat part a, but assume that all properties hold except for efficiency.

c. Repeat part a, but assume that all properties hold except for oneway.

d. Repeat part a, but assume that all properties hold except for the collision resistance properties.

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