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.

翻译：我们描述了一种布尔函数的新构造。该构造的一个具体实例提供了一个30变量的布尔函数，其最小熵与影响之比为$128/45 \approx 2.8444$，这是目前已知该比值达到的最高值。相应地，$128/45$也是目前傅里叶最小熵/影响猜想中普适常数的最佳已知下界。