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pseudorandom permutation : ウィキペディア英語版
pseudorandom permutation

In cryptography, the term pseudorandom permutation, abbreviated PRP, refers to a function that cannot be distinguished from a random permutation (that is, a permutation selected at random with uniform probability, from the family of all permutations on the function's domain) with practical effort.
==Definition==

Let ''F'' be a mapping n × sn. ''F'' is a PRP if
* For any K∈s, ''F'' is a bijection from n to n.
* For any K∈s, there is an "efficient" algorithm to evaluate ''F''K(x).
* For all probabilistic polynomial-time distinguishers D: ∣Pr(D''F''K(1n) = 1) - Pr(D''f''n(1n) = 1)∣<ε(s), where K←n is chosen uniformly at random and ''fn'' is chosen uniformly at random from the set of permutations on n-bit strings.
A pseudorandom permutation family is a collection of pseudorandom permutations, where a specific permutation may be chosen using a key.

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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