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Universal one-way hash function
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Universal one-way hash function : ウィキペディア英語版
Universal one-way hash function
In cryptography a universal one-way hash function (UOWHF, often pronounced "woof"), is a type of universal hash function of particular importance to cryptography. UOWHF's are proposed as an alternative to collision-resistant hash functions (CRHFs). CRHFs have a strong collision-resistance property: that it is hard, given randomly chosen hash function parameters, to find any collision of the hash function. In contrast, UOWHFs require that it be hard to find a collision where one preimage is chosen independently of the hash function parameters. The primitive was suggested by Moni Naor and Moti Yung and is also known as "target collision resistant" hash functions; it was employed to construct general digital signature schemes without trapdoor functions, and also within chosen-ciphertext secure public key encryption schemes.
The UOWHF family contains a finite number of hash functions with each
having the same probability of being used.
==Definition==
The security property of a UOWHF is as follows. Let A be an algorithm that operates in two phases:
* Initially, A receives no input (or, just a security parameter) and chooses a value x.
* A hash function H is chosen randomly from the family. A then receives H and must output y \ne x such that H(x) = H(y).
Then for all polynomial-time A the probability that A succeeds is negligible.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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