论文标题
在傅立叶最小渗透/影响猜想中的常数上的下限
A Lower Bound on the Constant in the Fourier Min-Entropy/Influence Conjecture
论文作者
论文摘要
我们描述了布尔功能的新结构。我们的构造的特定实例提供了30个可变价的布尔功能，其最小透气/影响比为$ 128/45 \约2.8444 $，目前是该比率最高的该比率的最高值，该值是通过任何布尔函数实现的。相应地，$ 128/45 $目前也是傅立叶最小透明/影响猜想的通用常数上最著名的下限。
We describe a new construction of Boolean functions. A specific instance of our construction provides a 30-variable Boolean function having min-entropy/influence ratio to be $128/45 \approx 2.8444$ which is presently the highest known value of this ratio that is achieved by any Boolean function. Correspondingly, $128/45$ is also presently the best known lower bound on the universal constant of the Fourier min-entropy/influence conjecture.
