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Abstract

Optimal dispersers have better dependence on the error than optimal extractors. In this paper we give explicit disperser constructions that beat the best possible extractors in some parameters. Our constructions are not strong, but we show that having such explicit strong constructions implies a solution to the Ramsey graph construction problem.

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© 2005 Springer-Verlag Berlin Heidelberg

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Gradwohl, R., Kindler, G., Reingold, O., Ta-Shma, A. (2005). On the Error Parameter of Dispersers. In: Chekuri, C., Jansen, K., Rolim, J.D.P., Trevisan, L. (eds) Approximation, Randomization and Combinatorial Optimization. Algorithms and Techniques. APPROX RANDOM 2005 2005. Lecture Notes in Computer Science, vol 3624. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11538462_25

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  • DOI: https://doi.org/10.1007/11538462_25

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-28239-6

  • Online ISBN: 978-3-540-31874-3

  • eBook Packages: Computer ScienceComputer Science (R0)

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