RANDOMNESS EXTRACTION AND ASYMPTOTIC HAMMING DISTANCE
We obtain a non-implication result in the Medvedev degrees by studying sequences that are close to Martin-Lof 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.
randomness extraction hamming distance algorithmic randomness