A Lower Bound on the Constant in the Fourier Min-Entropy/Influence Conjecture
Computational Complexity
2024-01-19 v2
Abstract
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 which is presently the highest known value of this ratio that is achieved by any Boolean function. Correspondingly, is also presently the best known lower bound on the universal constant of the Fourier min-entropy/influence conjecture.
Keywords
Cite
@article{arxiv.2212.07713,
title = {A Lower Bound on the Constant in the Fourier Min-Entropy/Influence Conjecture},
author = {Aniruddha Biswas and Palash Sarkar},
journal= {arXiv preprint arXiv:2212.07713},
year = {2024}
}