Local Correlation Breakers and Applications to Three-Source Extractors and Mergers

Gil Cohen

Research output: Chapter in Book/Report/Conference proceedingConference contribution

18 Scopus citations

Abstract

We introduce and construct a pseudorandom object which we call a local correlation breaker (LCB). Informally speaking, an LCB is a function that gets as input a sequence of r (arbitrarily correlated) random variables and an independent weak-source. The output of the LCB is a sequence of r random variables with the following property. If the i'th input random variable is uniform then the i'th output variable is uniform even given a bounded number of any other output variables. That is, an LCB uses the weak-source to break local correlations between random variables. Our construction of LCBs has applications to three-source extractors, mergers with weak-seeds, and a variant of non-malleable extractors, that we introduce.

Original languageEnglish (US)
Title of host publicationProceedings - 2015 IEEE 56th Annual Symposium on Foundations of Computer Science, FOCS 2015
PublisherIEEE Computer Society
Pages845-862
Number of pages18
Volume2015-December
ISBN (Electronic)9781467381918
DOIs
StatePublished - Dec 11 2015
Externally publishedYes
Event56th IEEE Annual Symposium on Foundations of Computer Science, FOCS 2015 - Berkeley, United States
Duration: Oct 17 2015Oct 20 2015

Other

Other56th IEEE Annual Symposium on Foundations of Computer Science, FOCS 2015
CountryUnited States
CityBerkeley
Period10/17/1510/20/15

All Science Journal Classification (ASJC) codes

  • Computer Science(all)

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