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Trevisan has shown that constructions of pseudo-random generators from hard functions (the Nisan-Wigderson approach) also produce extractors. We show that constructions of pseudo-random generators from one-way permutations (the Blum-Micali-Yao approach) can be used for building extractors as well. Using this new technique we build extractors that do not use designs and polynomial-based error-correcting codes and that are very simple and efficient. For example, one extractor produces each output bit separately in O(log2n) time. These extractors work for weak sources with min entropy λ n, for arbitrary constant λ>0, have seed length O(log2n), and their output length is ≈ nλ/3.

Simple Extractors via Constructions of Cryptographic Pseudo-random Generators