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What is a crypto hash function?

Cryptographic hash functions are used for authentication, digital signatures, and message authentication codes. To be used for cryptography, a hash function must have these qualities: Cryptographic hash functions such as MD5 and SHA-1 are considered broken, as attacks have been found that significantly reduce their collision resistance.

What is the output of a hash function?

The output of a hash function is a number between 0 and N − 1 (since the array must fit in memory, N is likely to be less than 240). If H is based on a cryptographic hash function, such as in this example: then finding collisions in H is only marginally harder than doing so for a non-cryptographic function with similar parameters.

What are the properties of a hash function?

There are many desirable properties of a hash function. 1. One-way (pre-image resistance): Given y 0, 1 d, it is hard to find an x such that h(x) = y. 2. Strong collision-resistance: It is hard to find any pair of inputs x, x' such that h(x) = h(x'). 3.

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