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An Almost m-wise Independent Random Permutation of the Cube

Published online by Cambridge University Press:  12 September 2008

W. T. Gowers
W. T. Gowers
Affiliation:
Department of Mathematics, University College London, Gower Street, London WC1E 6BT, UK
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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.

Type
Research Article
Information
Combinatorics, Probability and Computing , Volume 5 , Issue 2 , June 1996 , pp. 119 - 130
Copyright
Copyright © Cambridge University Press 1996

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