A weight-distribution bound for entropy extractors using linear binary codes
Information Theory
2014-05-13 v1 math.IT
Probability
Abstract
We consider a bound on the bias reduction of a random number generator by processing based on binary linear codes. We introduce a new bound on the total variation distance of the processed output based on the weight distribution of the code generated by the chosen binary matrix. Starting from this result we show a lower bound for the entropy rate of the output of linear binary extractors.
Keywords
Cite
@article{arxiv.1405.2820,
title = {A weight-distribution bound for entropy extractors using linear binary codes},
author = {Alessio Meneghetti and Massimiliano Sala and Alessandro Tomasi},
journal= {arXiv preprint arXiv:1405.2820},
year = {2014}
}
Comments
10 pages, 2 figures. submitted to IEEE