Extractors for sumset sources

Eshan Chattopadhyay, Xin Li · 2016

We propose a new model of weak random sources which we call sumset sources. A sumset source X is the sum of C independent sources, with each source on n bits source having min-entropy k. We show that extractors for this class of sources can be used to give extractors for most classes of weak sources that have been studied previously, including independent sources, affine sources (which generalizes oblivious bit-fixing sources), small space sources, total entropy independent sources, and interleaved sources. This provides a unified approach for randomness extraction.

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