A cryptographic hash function must satisfy:

Compression

Efficiency

One-way

Weak collision resistance

Strong collision resistance

1.- 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

2.- Repeat part a, but assume all properties hold except for efficiency

3.- Repeat part a, but assume all properties hold except for one-way

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