用并界去随机化Besoff界及其在$k$ -独立集上的应用
Derandomizing Chernoff Bound with Union Bound with an Application to $k$-wise Independent Sets
摘要：
结合界的Besoff界的去随机化已经在许多文献中得到了证明。我们在这里给出另一个明确的版本，它获得了一个建设的大小是任意接近的概率非建设性的大小。利用这一点给出了几乎$k$ -独立集的一个新的简单的多项式时间构造.我们还给出了$k$ -明智的独立集的大小几乎紧的下界。
英文摘要：
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 $k$-wise independent sets. We also give almost tight lower bounds for the size of $k$-wise independent sets.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
