Constant-Time Randomized Parallel String Matching

@article{Crochemore1997ConstantTimeRP,
  title={Constant-Time Randomized Parallel String Matching},
  author={Maxime Crochemore and Zvi Galil and Leszek Gąsieniec and Kunsoo Park and Wojciech Rytter},
  journal={SIAM J. Comput.},
  year={1997},
  volume={26},
  pages={950-960}
}
Given a pattern string of length m for the string-matching problem, we design an algorithm that computes deterministic samples of a sufficiently long substring of the pattern in constant time. This problem used to be the bottleneck in the pattern preprocessing for one- and two-dimensional pattern matching. The best previous time bound was O(log2 m / log log m). We use this algorithm to obtain the following results (all algorithms below are optimal parallel algorithms on a CRCW PRAM): a… 
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