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What does it mean that a hash function h is collision-resistant?

What does it mean that a hash function h is collision-resistant?

In cryptography, collision resistance is a property of cryptographic hash functions: a hash function H is collision-resistant if it is hard to find two inputs that hash to the same output; that is, two inputs a and b where a ≠ b but H(a) = H(b). ) hash operations on random input is likely to find two matching outputs.

Does one way imply collision-resistant?

A collision-free hash function f is a one-way function that is also collision-resistant; that is, no randomized polynomial time algorithm can find a collision—distinct values x, y such that f(x) = f(y)—with non-negligible probability.

What is strong collision-resistant property?

Strong CR, or just collision resistance, is the property that it’s difficult to find any two x,x′ with the same hash value.

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Is hash function collision resistance?

Collision resistance is the property of a hash function that it is computationally infeasible to find two colliding inputs. This property is related to second preimage resistance, which is also known as weak collision resistance.

What is weak collision resistance in cryptography?

Collision resistance is a security notion of cryptographic hash functions. In the new definition, weak collision resistance means that the probability of failing to find a collision is not negligible. This weak collision resistance is then analyzed.

Does Preimage resistance imply collision resistance?

Collision resistance implies second-preimage resistance, but does not guarantee preimage resistance. Conversely, a second-preimage attack implies a collision attack (trivially, since, in addition to x′, x is already known right from the start).

Is XOR a one-way function?

The function is no longer one-way.

Which refers to weak collision resistance?

Collision resistance is a security notion of cryptographic hash functions. A collision of a hash function is a pair of different inputs which give the same output. In the new definition, weak collision resistance means that the probability of failing to find a collision is not negligible.

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What is weak collision resistant?