Pseudorandomness from Shrinkage

@article{Impagliazzo2012PseudorandomnessFS,
  title={Pseudorandomness from Shrinkage},
  author={Russell Impagliazzo and Raghu Meka and David Zuckerman},
  journal={2012 IEEE 53rd Annual Symposium on Foundations of Computer Science},
  year={2012},
  pages={111-119}
}
One powerful theme in complexity theory and pseudorandomness in the past few decades has been the use lower bounds to give pseudorandom generators (PRGs). However, the general results using this hardness vs. randomness paradigm suffer a quantitative loss in parameters, and hence do not give nontrivial implications for models where we don't know superpolynomial lower bounds but do know lower bounds of a fixed polynomial. We show that when such lower bounds are proved using random restrictions… CONTINUE READING
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