Extractors for Three Uneven-Length Sources

Abstract. We construct an efficient 3-source extractor that requires one of the sources to be significantly shorter than the min-entropy of the other two sources. Our extractors work even when the longer, n-bit sources have min-entropy n(1) and the shorter source has min-entropy log10 n. Previous constructions for independent sources with min-entropy n required (1/) sources [Rao06]. Our construction relies on lossless condensers [GUV07] based on Parvaresh-Vardy codes [PV05], as well as on a 2-source extractor for a block source and general source [BRSW06].

• Type: Conference
• Year: 2008
• Where: APPROX
• Authors: Anup Rao, David Zuckerman
• Keywords: Algorithms, APPROX 2008, Efficient 3-source Extractor, Min-entropy Log10 N, N-bit Sources