Exact expressions for the maximal probability that all $k$-wise independent bits are 1

Daniel Berend, Philip A. Ernst, Aryeh Kontorovich +1

Let $M(n,k,p)$ denote the maximum probability of the event $X_1=X_2=\cdots =X_n=1$ under a $k$-wise independent distribution whose marginals are Bernoulli random variables w…