Weizmann Logo
ECCC
Electronic Colloquium on Computational Complexity

Under the auspices of the Computational Complexity Foundation (CCF)

Login | Register | Classic Style



REPORTS > DETAIL:

Paper:

TR22-180 | 15th December 2022 12:09

A Lower Bound on the Constant in the Fourier Min-Entropy/Influence Conjecture

RSS-Feed

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 128/45 ? 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.



ISSN 1433-8092 | Imprint