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An Almost m-wise Independent Random Permutation of the Cube

  • W. T. Gowers (a1)
Abstract

We describe a very simple method of randomly permuting the cube {0, 1}n such that the sample space is very small, but, given any m distinct points in {0, 1}n, the images of those points under the random permutation are approximately uniformly distributed over all sequences of m distinct points.

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Combinatorics, Probability and Computing
  • ISSN: 0963-5483
  • EISSN: 1469-2163
  • URL: /core/journals/combinatorics-probability-and-computing
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