Pseudorandom Generator

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Pseudorandom Generator

In theoretical computer science and cryptography, a pseudorandom generator (PRG) for a class of statistical tests is a deterministic procedure that maps a random seed to a longer pseudorandom string such that no statistical test in the class can distinguish between the output of the generator and the uniform distribution. The random seed is typically a short binary string drawn from the uniform distribution.

Many different classes of statistical tests have been considered in the literature, among them the class of all Boolean circuits of a given size. It is not known whether good pseudorandom generators for this class exist, but it is known that their existence is in a certain sense equivalent to (unproven) circuit lower bounds in computational complexity theory. Hence the construction of pseudorandom generators for the class of Boolean circuits of a given size rests on currently unproven hardness assumptions.

Read more about Pseudorandom GeneratorDefinition, Pseudorandom Generators in Cryptography, Pseudorandom Generators and Derandomization, Constructions of Pseudorandom Generators, Limitations On The Provability of Pseudorandom Generators

Other articles related to "pseudorandom generator, pseudorandom generators":

Limitations On The Provability of Pseudorandom Generators
... The pseudorandom generators used in cryptography and universal algorithmic derandomization have not been proven to exist, although their existence is widely believed ... proofs assuming the existence of stronger variants of cryptographic pseudorandom generators ...

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