Randomness extraction and asymptotic Hamming distance
Logic
2015-07-01 v4 Computational Complexity
Information Theory
Logic in Computer Science
math.IT
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.
Cite
@article{arxiv.1008.0821,
title = {Randomness extraction and asymptotic Hamming distance},
author = {Cameron E. Freer and Bjoern Kjos-Hanssen},
journal= {arXiv preprint arXiv:1008.0821},
year = {2015}
}