TY - GEN

T1 - Local Correlation Breakers and Applications to Three-Source Extractors and Mergers

AU - Cohen, Gil

N1 - Publisher Copyright:
© 2015 IEEE.

PY - 2015/12/11

Y1 - 2015/12/11

N2 - 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.

AB - 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.

KW - mergers

KW - multi-source extractors

KW - non-malleable extractors

UR - http://www.scopus.com/inward/record.url?scp=84960452677&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84960452677&partnerID=8YFLogxK

U2 - 10.1109/FOCS.2015.57

DO - 10.1109/FOCS.2015.57

M3 - Conference contribution

AN - SCOPUS:84960452677

T3 - Proceedings - Annual IEEE Symposium on Foundations of Computer Science, FOCS

SP - 845

EP - 862

BT - Proceedings - 2015 IEEE 56th Annual Symposium on Foundations of Computer Science, FOCS 2015

PB - IEEE Computer Society

T2 - 56th IEEE Annual Symposium on Foundations of Computer Science, FOCS 2015

Y2 - 17 October 2015 through 20 October 2015

ER -