Hadamard's maximal determinant problem asks for the largest determinant of a matrix with elements equal to 1 or −1.
But what would be the case when the elements are equal to $\pm1\text{ or }0$?

I've tried to look for some reference, but all the reference I found were about elements being equal to 0 or -1 at best.

Anyone knows something about the case for elements being equal to $\pm1\text{ or }0$?
Thanks in advance.