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arXiv · 1008.0821

Randomness extraction and asymptotic Hamming distance

Cameron E. Freer·Bjoern Kjos-Hanssen
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Abstract

We obtain a non-implication result in the Medvedev degrees by studying sequences that are close to Martin-L\"of random in asymptotic Hamming distance. Our result is that the class of stochastically bi-immune sets is not Medvedev reducible to the class of sets having complex packing dimension 1.

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BibTeXRIS

Cameron E. Freer, Bjoern Kjos-Hanssen. 2010-08-04. Randomness extraction and asymptotic Hamming distance. https://doi.org/10.2168/lmcs-9(3%3A27)2013

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