Derandomizing Chernoff Bound with Union Bound with an Application to $k$-wise Independent Sets
Discrete Mathematics
2016-08-05 v1
Abstract
Derandomization of Chernoff bound with union bound is already proven in many papers. We here give another explicit version of it that obtains a construction of size that is arbitrary close to the probabilistic nonconstructive size. We apply this to give a new simple polynomial time constructions of almost -wise independent sets. We also give almost tight lower bounds for the size of -wise independent sets.
Cite
@article{arxiv.1608.01568,
title = {Derandomizing Chernoff Bound with Union Bound with an Application to $k$-wise Independent Sets},
author = {Nader H. Bshouty},
journal= {arXiv preprint arXiv:1608.01568},
year = {2016}
}