Small-Bias Spaces for Group Products

@inproceedings{Meka2009SmallBiasSF,
  title={Small-Bias Spaces for Group Products},
  author={Raghu Meka and David Zuckerman},
  booktitle={APPROX-RANDOM},
  year={2009}
}
Small-bias, or -biased, spaces have found many applications in complexity theory, coding theory, and derandomization. We generalize the notion of small-bias spaces to the setting of group products. Besides being natural, our extension captures some of the difficulties in constructing pseudorandom generators for constant-width branching programs a longstanding open problem. We provide an efficient deterministic construction of small-bias spaces for solvable groups. Our construction exploits the… CONTINUE READING
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